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Acoustic noise mitigation of switched reluctance machines through skewing methodsElamin, Mohammed 11 June 2018 (has links)
No description available.
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Uticaj sila zakošenja na zamor noseće konstrukcije mosne dizalice pri njenom kretanju / On the influence of skewing forces upon the fatigue of a bridge cranestructure during travellingZelić Atila 02 July 2018 (has links)
<p>Disertacija obrađuje problematiku praktičnog uvođenja opterećenja izazvanih<br />zakošavanjem dizalice u normiranu proceduru dokaza zamorne čvrstoće njene noseće<br />konstrukcije. U prvom delu rada koncizno je izložena teorijska podloga zakošavanja<br />mosne dizalice, neophodna za potpunije razumevanje relevantnih obeležja predmeta<br />istraživanja. Predložene su metode za eksperimentalnu determinaciju bočnih sila u<br />interakciji točak – šina, odn. vodeća rolna – šina. Testiranje predloženih metoda<br />spovedeno je kroz eksperimente na realnom objektu – jednogredoj električnoj mosnoj<br />dizalici nosivosti 3,2 t i raspona 8,91 m. Komentarisani su reprezentativni rezultati i<br />date su smernice za sprovođenje dokaza zamorne čvrstoće detalja noseće konstrukcije<br />dizalice, uzimajući u obzir pri tom i spektre sila zakošenja. Takođe je ukazano i na<br />neke nejasnoće i nedorečenosti u važećim standardima, a u vezi proračunskog<br />određivanja sila zakošenja.</p> / <p>The dissertation deals with the problem of practical application of loadings caused by<br />crane skewing, in normative procedures of fatigue strength proof calculations of crane<br />supporting structure. In the first part, the theoretical framework of bridge crane<br />skewing, necessary for better understanding of relevant characteristics of the research<br />topic, has been concisely elaborated. Methods are proposed for experimental<br />determination of lateral forces in wheel/rail and guiding roller/rail contacts. These<br />methods were tested through a series of experiments on a real object – an electrically<br />driven single girder bridge crane with a capacity of 3.2 t, and span 8.91 m. Some<br />representative measurement results are discussed and guidelines are given for<br />performing the fatigue strength proof calculation of crane supporting structure details,<br />taking into account skewing forces spectra, too. Also, attention has been drawn to<br />certain unclear points and inconsistencies in norms in force, concerning calculative<br />determination of skewing forces.</p>
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Impact du vrillage sur les forces électromagnétiques dans l’entrefer : Applications aux machines asynchrones / Impact of skewing on magnetic forces in the airgap : Application to induction machinesDespret, Ghislain, Noël, Henri 18 April 2018 (has links)
La machine asynchrone est à ce jour la référence dans les moteurs de traction ferroviaire. De nombreuses contraintes dictées par des normes notamment au niveau du bruit acoustique poussent l’industrie à développer des moteurs plus silencieux. Le vrillage connu pour réduire les ondulations de couple semble apporter également une réelle solution afin de diminuer les vibrations et le bruit émis par la machine. C’est dans ce contexte que ce projet en collaboration avec Alstom-Transport situé à Ornans et le soutien de MEDEE (pôle régional sur la maitrise énergétique) est réalisé. Cette thèse se focalise plus particulièrement sur le calcul des forces électromagnétiques dans l’entrefer à l’origine des vibrations, du bruit et du couple. Des modèles analytiques et à éléments finis estimant les forces électromagnétiques et intégrant le vrillage sont présentés et confrontés à des mesures expérimentales de vibration, de bruit et de couple. Les modèles utilisés sont valables pour les machines asynchrones à cage d’écureuil mais sont facilement adaptables pour les machines synchrones. Ils permettent de comprendre l’origine des forces électromagnétiques responsables du bruit et de trouver des configurations de machines moins bruyantes en jouant sur divers paramètres tels que : le vrillage, mais aussi le nombre de paires de pôles, le nombre d’encoches au stator et au rotor, la forme des encoches, la distribution du bobinage, etc. / The induction machine is the reference in railway traction motors. Numerous constraints dictated by standards, particularly regarding acoustic noise, are driving the industry to develop quieter engines. The skewing known to reduce torque ripples seems to also provide a real solution to reduce vibration and noise emitted by the machine. In this context, the project is realized in collaboration with Alstom-Transport located in Ornans with the support of MEDEE (regional pole on energy control). This thesis focuses on the calculation of magnetic forces in the air gap which originate vibration, noise and torque. Analytical and finite element models, which estimate electromagnetic forces and integrate skewing, are presented and compared with experimental measurements of vibration, noise and torque. The models used are valid for the squirrel-cage induction machines but are easily adaptable for synchronous machines. This allows one to understand the origin of the electromagnetic forces responsible for the noise, and to find configurations of less noisy machines. Various parameters such as skewing can be modified to reach this goal, as well as the number of pole pairs, the stator and rotor teeth number, the slot shape, the winding distribution, and so on.
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Improved performance characteristics of induction machines with non-skewed symmetrical rotor slotsChitroju, Rathna January 2009 (has links)
<p>Induction machines convert more than 55% of electrical energy into various other forms in industrial and domestic environments. Improved performance, especially by reduction of losses in induction machines hence can significantly reduce consumption of electricity. Many design and control methods are adopted to make induction machines work more efficiently, however certain design compromises are inevitable, such as skewing the rotor to improve the magnetic noise and torque characteristics increase the cross current losses considerably in a cage rotor, degrading the efficiency of the motor. Crosscurrent losses are the dominating stray losses which are dependent on several factors among them are percentage skew and the contact resistance between the rotor bars and laminations. It is shown in this thesis that implementing a design change which has non-skewed asymmetrical distribution of rotor slots can serve the same purpose as skewing i.e., reduction of the magnetic noise, thereby avoiding the negative effects of skewing the rotor slots especially by reducing the cross-current losses.</p><p>Two design ethodologies to introduce asymmetry in rotor slots are proposed and the key performance characteristics like torque ripple, radial air gap forces are computed both numerically and analytically. Radial forces obtained from the finite element method are coupled to the analytical tool forcalculating the magnetic noise. A spectral method to calculate and separate the radial forces into vibration modes and their respective frequencies is proposed and validated for a standard 4-pole induction motor. The influence of rotor slot number, eccentricity and skew on radial forces and magnetic noise are studied using finite element method in order to understand the vibrational and acoustic behavior of the machine, especially for identifying their sources. The validated methods on standard motors are applied for investigating the asymmetrical rotor slot machines.</p><p>Radial air gap forces and magnetic noise spectra are computed for the novel dual and sinusoidal symmetrical rotors and compared with the standard symmetrical rotor. The results obtained showed reduced radial forces and magnetic noise in asymmetrical rotors, both for the eccentric and noneccentric cases. Based on the results obtained some guide lines for designing asymmetrical rotor slots are established. Magnitudes of the harmful modes of vibration observed in the eccentric rotors, which usually occur in reality, are considerably reduced in asymmetrical rotors showing lower sound intensity levels produced by asymmetrical rotors. The noise level from mode-2 vibration in a 4-pole standard 15 kW motor running with 25% static eccentricity is decreased by about 6 dB, compared to the standard rotors. Hence improved performance can be achieved by removing skew which reduces cross current losses and by employing asymmetrical rotor slots same noise level can be maintained or can be even lowered.</p><p> </p><p> </p>
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Composable, Sound Transformations for Nested Recursion and LoopsKirshanthan Sundararajah (16647885) 26 July 2023 (has links)
<p> </p>
<p>Programs that use loops to operate over arrays and matrices are generally known as <em>regular programs</em>. These programs appear in critical applications such as image processing, differential equation solvers, and machine learning. Over the past few decades, extensive research has been done on composing, verifying, and applying scheduling transformations like loop interchange and loop tiling for regular programs. As a result, we have general frameworks such as the polyhedral model to handle transformations for loop-based programs. Similarly, programs that use recursion and loops to manipulate pointer-based data structures are known as <em>irregular programs</em>. Irregular programs also appear in essential applications such as scientific simulations, data mining, and graphics rendering. However, there is no analogous framework for recursive programs. In the last decade, although many scheduling transformations have been developed for irregular programs, they are ad-hoc in various aspects, such as being developed for a specific application and lacking portability. This dissertation examines principled ways to handle scheduling transformations for recursive programs through a unified framework resulting in performance enhancement. </p>
<p>Finding principled approaches to optimize irregular programs at compile-time is a long-standing problem. We specifically focus on scheduling transformations that reorder a program’s operations to improve performance by enhancing locality and exploiting parallelism. In the first part of this dissertation, we present PolyRec, a unified general framework that can compose and apply scheduling transformations to nested recursive programs and reason about the correctness of composed transformations. PolyRec is a first-of-its-kind unified general transformation framework for irregular programs consisting of nested recursion and loops. It is built on solid theoretical foundations from the world of automata and transducers and provides a fundamentally novel way to think about recursive programs and scheduling transformations for them. The core idea is designing mechanisms to strike a balance between the expressivity in representing the set of dynamic instances of computations, transformations, and dependences and the decidability of checking the correctness of composed transformations. We use <em>multi-tape </em>automata and transducers to represent the set of dynamic instances of computations and transformations, respectively. These machines are similar yet more expressive than their classical single-tape counterparts. While in general decidable properties of classical machines are undecidable for multi-tape machines, we have proven that those properties are decidable for the class of machines we consider, and we present algorithms to verify these properties. Therefore these machines provide the building blocks to compose and verify scheduling transformations for nested recursion and loops. The crux of the PolyRec framework is its regular string-based representation of dynamic instances that allows to lexicographically order instances identically to their execution order. All the transformations considered in PolyRec require different ordering of these strings representable only with <em>additive </em>changes to the strings. </p>
<p>Loop transformations such as <em>skewing </em>require performing arithmetic on the representation of dynamic instances. In the second part of this dissertation, we explore this space of transformations by introducing skewing to nested recursion. Skewing plays an essential role in producing easily parallelizable loop nests from seemingly difficult ones due to dependences carried across loops. The inclusion of skewing for nested recursion to PolyRec requires significant extensions to representing dynamic instances and transformations that facilitate <em>performing arithmetic using strings</em>. First, we prove that the machines that represent the transformations are still composable. Then we prove that the representation of dependences and the algorithm that checks the correctness of composed transformations hold with minimal changes. Our new extended framework is known as UniRec, since it resembles the unimodular transformations for perfectly nested loop nests, which consider any combination of the primary transformations interchange, reversal, and skewing. UniRec opens possibilities of producing newly composed transformations for nested recursion and loops and verifying their correctness. We claim that UniRec completely subsumes the unimodular framework for loop transformations since nested recursion is more general than loop nests. </p>
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Advances in chain-growth control and analysis of polymer: boosting iodine-mediated polymerizations and mastering band-broadening effects in size-exclusion chromatographyWolpers, Arne 10 November 2014 (has links)
No description available.
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Improved performance characteristics of induction machines with non-skewed symmetrical rotor slotsChitroju, Rathna January 2009 (has links)
Induction machines convert more than 55% of electrical energy into various other forms in industrial and domestic environments. Improved performance, especially by reduction of losses in induction machines hence can significantly reduce consumption of electricity. Many design and control methods are adopted to make induction machines work more efficiently, however certain design compromises are inevitable, such as skewing the rotor to improve the magnetic noise and torque characteristics increase the cross current losses considerably in a cage rotor, degrading the efficiency of the motor. Crosscurrent losses are the dominating stray losses which are dependent on several factors among them are percentage skew and the contact resistance between the rotor bars and laminations. It is shown in this thesis that implementing a design change which has non-skewed asymmetrical distribution of rotor slots can serve the same purpose as skewing i.e., reduction of the magnetic noise, thereby avoiding the negative effects of skewing the rotor slots especially by reducing the cross-current losses. Two design ethodologies to introduce asymmetry in rotor slots are proposed and the key performance characteristics like torque ripple, radial air gap forces are computed both numerically and analytically. Radial forces obtained from the finite element method are coupled to the analytical tool forcalculating the magnetic noise. A spectral method to calculate and separate the radial forces into vibration modes and their respective frequencies is proposed and validated for a standard 4-pole induction motor. The influence of rotor slot number, eccentricity and skew on radial forces and magnetic noise are studied using finite element method in order to understand the vibrational and acoustic behavior of the machine, especially for identifying their sources. The validated methods on standard motors are applied for investigating the asymmetrical rotor slot machines. Radial air gap forces and magnetic noise spectra are computed for the novel dual and sinusoidal symmetrical rotors and compared with the standard symmetrical rotor. The results obtained showed reduced radial forces and magnetic noise in asymmetrical rotors, both for the eccentric and noneccentric cases. Based on the results obtained some guide lines for designing asymmetrical rotor slots are established. Magnitudes of the harmful modes of vibration observed in the eccentric rotors, which usually occur in reality, are considerably reduced in asymmetrical rotors showing lower sound intensity levels produced by asymmetrical rotors. The noise level from mode-2 vibration in a 4-pole standard 15 kW motor running with 25% static eccentricity is decreased by about 6 dB, compared to the standard rotors. Hence improved performance can be achieved by removing skew which reduces cross current losses and by employing asymmetrical rotor slots same noise level can be maintained or can be even lowered. / QC 20110221
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Разработка принципов построения системы управления двухтележечным мостовым краном для транспортирования длинномерных грузов : магистерская диссертация / Development of the principles of construction of the control system of the bridge crane with two trucks for transportation of long loadsКумин, И. П., Kumin, I. P. January 2019 (has links)
Актуальность темы исследования: обусловлена потребностью в оптимизации процесса транспортировки длинномерных грузов мостовыми кранами с двумя тележками, в повышении точности позиционирования длинномерного груза в месте его назначения с помощью мостового крана с двумя тележками и во введении системы управления с самостоятельным устранением перекоса длинномерного груза. Цель работы: разработка систем управления двухтележечными мостовыми кранами, предназначенных для точного транспортирования длинномерных грузов с возможностью самостоятельного регулирования и устранения перекоса груза. Провести анализ факторов, влияющих на точность перемещения длинномерного груза и представить меры по их учёту в процессе транспортирования груза. В ходе работы были рассмотрены существующие способы согласования работы двух и более кранов, разработаны системы управления двухтележечным мостовым краном с возможностью самостоятельного устранения перекоса груза, представлены факторы, влияющие на точность позиционирования груза и предложены способы учёта некоторых факторов при перемещении груза в место назначения, а также разработаны системы управления тележками и лебёдками двухтележечного мостового крана, учитывающие величину прогиба металлоконструкции крана и растяжения грузового каната при задании величины вертикального перемещения груза. В процессе работы над магистерской диссертацией была оформлена приоритетная заявка на патент на изобретение №2019109823 от 03.04.19г «Двухтележечный мостовой кран» (система представлена в пункте 2.2 данной работы). Также отправлены две заявки на государственную регистрацию программы для ЭВМ «Программа расчёта деформации пролётной балки двухтележечного мостового крана» (Приложение Б) и «Программа расчёта деформации грузового каната» (Приложение В) в среде программирования Borland Delphi. ВКР была отправлена на конкурс Discovery Science: University-2019 и заняла там первое место в номинации «Практический проект». Наградной диплом представлен в Приложении Г. Объём пояснительной записки – 91 лист и 21 листа графических документов. Работа состоит из введения, пяти глав и заключения. Список литературы содержит 16 источников. / The relevance of the research topic: due to the need to optimize the process of transportation of long loads by bridge cranes with two trucks, to improve the accuracy of positioning of long cargo at its destination with the help of a bridge crane with two trucks and in the introduction of a control system with independent elimination of skewing of long cargo. The purpose of the work: development of control systems for double-axle cranes, designed for accurate transportation of long loads with the possibility of self-regulation and elimination of cargo misalignment. To analyze the factors affecting the accuracy of the movement of long cargo and to provide measures for their accounting in the process of transportation. In the course of the work, the existing methods of coordination of two or more cranes of the designed control system of bridge cranes with trucks with self-removal from the misalignment of goods were considered, the factors affecting the accuracy of positioning were presented and the methods of taking into account certain factors when moving the cargo to the destination were proposed, and a control system for trucks and winches of bridge cranes with trucks was developed. counts the amount of deflection of the steel structures of the crane and the tension of the hoisting rope when you set the value of the vertical movement of the cargo. In the process of working on the master's thesis was issued a priority application for a patent for the invention №2019109823 from 03.04.19 g "bridge crane with two trucks " (the system is presented in paragraph 2.2 of this work). Also sent two applications for state registration of the computer program "Program for calculating the deformation of the span beam of a two-track bridge crane" (Application B) and "program For calculating the deformation of the cargo rope" (Application C) in the programming environment Borland Delphi. Dissertation was sent to the competition Discovery Science: University-2019 and took the first place in the nomination "Practical project". The award diploma is presented in Application D. The scope and explanatory notes – 91 sheet 21 and the sheet graphical documents. The work consists of an introduction, five chapters and a conclusion. The list of references includes 16 sources.
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Univariate and Multivariate Symmetry: Statistical Inference and Distributional Aspects/Symétrie Univariée et Multivariée: Inférence Statistique et Aspects DistributionnelsLey, Christophe C. 26 November 2010 (has links)
This thesis deals with several statistical and probabilistic aspects of symmetry and asymmetry, both in a univariate and multivariate context, and is divided into three distinct parts.
The first part, composed of Chapters 1, 2 and 3 of the thesis, solves two conjectures associated with multivariate skew-symmetric distributions. Since the introduction in 1985 by Adelchi Azzalini of the most famous representative of that class of distributions, namely the skew-normal distribution, it is well-known that, in the vicinity of symmetry, the Fisher information matrix is singular and the profile log-likelihood function for skewness admits a stationary point whatever the sample under consideration. Since that moment, researchers have tried to determine the subclasses of skew-symmetric distributions who suffer from each of those problems, which has led to the aforementioned two conjectures. This thesis completely solves these two problems.
The second part of the thesis, namely Chapters 4 and 5, aims at applying and constructing extremely general skewing mechanisms. As such, in Chapter 4, we make use of the univariate mechanism of Ferreira and Steel (2006) to build optimal (in the Le Cam sense) tests for univariate symmetry which are very flexible. Actually, their mechanism allowing to turn a given symmetric distribution into any asymmetric distribution, the alternatives to the null hypothesis of symmetry can take any possible shape. These univariate mechanisms, besides that surjectivity property, enjoy numerous good properties, but cannot be extended to higher dimensions in a satisfactory way. For this reason, we propose in Chapter 5 different general mechanisms, sharing all the nice properties of their competitors in Ferreira and Steel (2006), but which moreover can be extended to any dimension. We formally prove that the surjectivity property holds in dimensions k>1 and we study the principal characteristics of these new multivariate mechanisms.
Finally, the third part of this thesis, composed of Chapter 6, proposes a test for multivariate central symmetry by having recourse to the concepts of statistical depth and runs. This test extends the celebrated univariate runs test of McWilliams (1990) to higher dimensions. We analyze its asymptotic behavior (especially in dimension k=2) under the null hypothesis and its invariance and robustness properties. We conclude by an overview of possible modifications of these new tests./
Cette thèse traite de différents aspects statistiques et probabilistes de symétrie et asymétrie univariées et multivariées, et est subdivisée en trois parties distinctes.
La première partie, qui comprend les chapitres 1, 2 et 3 de la thèse, est destinée à la résolution de deux conjectures associées aux lois skew-symétriques multivariées. Depuis l'introduction en 1985 par Adelchi Azzalini du plus célèbre représentant de cette classe de lois, à savoir la loi skew-normale, il est bien connu qu'en un voisinage de la situation symétrique la matrice d'information de Fisher est singulière et la fonction de vraisemblance profile pour le paramètre d'asymétrie admet un point stationnaire quel que soit l'échantillon considéré. Dès lors, des chercheurs ont essayé de déterminer les sous-classes de lois skew-symétriques qui souffrent de chacune de ces problématiques, ce qui a mené aux deux conjectures précitées. Cette thèse résoud complètement ces deux problèmes.
La deuxième partie, constituée des chapitres 4 et 5, poursuit le but d'appliquer et de proposer des méchanismes d'asymétrisation très généraux. Ainsi, au chapitre 4, nous utilisons le méchanisme univarié de Ferreira and Steel (2006) pour construire des tests de symétrie univariée optimaux (au sens de Le Cam) qui sont très flexibles. En effet, leur méchanisme permettant de transformer une loi symétrique donnée en n'importe quelle loi asymétrique, les contre-hypothèses à la symétrie peuvent prendre toute forme imaginable. Ces méchanismes univariés, outre cette propriété de surjectivité, possèdent de nombreux autres attraits, mais ne permettent pas une extension satisfaisante aux dimensions supérieures. Pour cette raison, nous proposons au chapitre 5 des méchanismes généraux alternatifs, qui partagent toutes les propriétés de leurs compétiteurs de Ferreira and Steel (2006), mais qui en plus sont généralisables à n'importe quelle dimension. Nous démontrons formellement que la surjectivité tient en dimension k > 1 et étudions les caractéristiques principales de ces nouveaux méchanismes multivariés.
Finalement, la troisième partie de cette thèse, composée du chapitre 6, propose un test de symétrie centrale multivariée en ayant recours aux concepts de profondeur statistique et de runs. Ce test étend le célèbre test de runs univarié de McWilliams (1990) aux dimensions supérieures. Nous en analysons le comportement asymptotique (surtout en dimension k = 2) sous l'hypothèse nulle et les propriétés d'invariance et de robustesse. Nous concluons par un aperçu sur des modifications possibles de ces nouveaux tests.
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Univariate and multivariate symmetry: statistical inference and distributional aspects / Symétrie univariée et multivariée: inférence statistique et aspects distributionnelsLey, Christophe 26 November 2010 (has links)
This thesis deals with several statistical and probabilistic aspects of symmetry and asymmetry, both in a univariate and multivariate context, and is divided into three distinct parts.<p><p>The first part, composed of Chapters 1, 2 and 3 of the thesis, solves two conjectures associated with multivariate skew-symmetric distributions. Since the introduction in 1985 by Adelchi Azzalini of the most famous representative of that class of distributions, namely the skew-normal distribution, it is well-known that, in the vicinity of symmetry, the Fisher information matrix is singular and the profile log-likelihood function for skewness admits a stationary point whatever the sample under consideration. Since that moment, researchers have tried to determine the subclasses of skew-symmetric distributions who suffer from each of those problems, which has led to the aforementioned two conjectures. This thesis completely solves these two problems.<p><p>The second part of the thesis, namely Chapters 4 and 5, aims at applying and constructing extremely general skewing mechanisms. As such, in Chapter 4, we make use of the univariate mechanism of Ferreira and Steel (2006) to build optimal (in the Le Cam sense) tests for univariate symmetry which are very flexible. Actually, their mechanism allowing to turn a given symmetric distribution into any asymmetric distribution, the alternatives to the null hypothesis of symmetry can take any possible shape. These univariate mechanisms, besides that surjectivity property, enjoy numerous good properties, but cannot be extended to higher dimensions in a satisfactory way. For this reason, we propose in Chapter 5 different general mechanisms, sharing all the nice properties of their competitors in Ferreira and Steel (2006), but which moreover can be extended to any dimension. We formally prove that the surjectivity property holds in dimensions k>1 and we study the principal characteristics of these new multivariate mechanisms.<p><p>Finally, the third part of this thesis, composed of Chapter 6, proposes a test for multivariate central symmetry by having recourse to the concepts of statistical depth and runs. This test extends the celebrated univariate runs test of McWilliams (1990) to higher dimensions. We analyze its asymptotic behavior (especially in dimension k=2) under the null hypothesis and its invariance and robustness properties. We conclude by an overview of possible modifications of these new tests./<p><p>Cette thèse traite de différents aspects statistiques et probabilistes de symétrie et asymétrie univariées et multivariées, et est subdivisée en trois parties distinctes.<p><p>La première partie, qui comprend les chapitres 1, 2 et 3 de la thèse, est destinée à la résolution de deux conjectures associées aux lois skew-symétriques multivariées. Depuis l'introduction en 1985 par Adelchi Azzalini du plus célèbre représentant de cette classe de lois, à savoir la loi skew-normale, il est bien connu qu'en un voisinage de la situation symétrique la matrice d'information de Fisher est singulière et la fonction de vraisemblance profile pour le paramètre d'asymétrie admet un point stationnaire quel que soit l'échantillon considéré. Dès lors, des chercheurs ont essayé de déterminer les sous-classes de lois skew-symétriques qui souffrent de chacune de ces problématiques, ce qui a mené aux deux conjectures précitées. Cette thèse résoud complètement ces deux problèmes.<p><p>La deuxième partie, constituée des chapitres 4 et 5, poursuit le but d'appliquer et de proposer des méchanismes d'asymétrisation très généraux. Ainsi, au chapitre 4, nous utilisons le méchanisme univarié de Ferreira and Steel (2006) pour construire des tests de symétrie univariée optimaux (au sens de Le Cam) qui sont très flexibles. En effet, leur méchanisme permettant de transformer une loi symétrique donnée en n'importe quelle loi asymétrique, les contre-hypothèses à la symétrie peuvent prendre toute forme imaginable. Ces méchanismes univariés, outre cette propriété de surjectivité, possèdent de nombreux autres attraits, mais ne permettent pas une extension satisfaisante aux dimensions supérieures. Pour cette raison, nous proposons au chapitre 5 des méchanismes généraux alternatifs, qui partagent toutes les propriétés de leurs compétiteurs de Ferreira and Steel (2006), mais qui en plus sont généralisables à n'importe quelle dimension. Nous démontrons formellement que la surjectivité tient en dimension k > 1 et étudions les caractéristiques principales de ces nouveaux méchanismes multivariés.<p><p>Finalement, la troisième partie de cette thèse, composée du chapitre 6, propose un test de symétrie centrale multivariée en ayant recours aux concepts de profondeur statistique et de runs. Ce test étend le célèbre test de runs univarié de McWilliams (1990) aux dimensions supérieures. Nous en analysons le comportement asymptotique (surtout en dimension k = 2) sous l'hypothèse nulle et les propriétés d'invariance et de robustesse. Nous concluons par un aperçu sur des modifications possibles de ces nouveaux tests. / Doctorat en Sciences / info:eu-repo/semantics/nonPublished
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