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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
21

Optimisation des performances de réseaux de capteurs dynamiques par le contrôle de synchronisation dans les systèmes ultra large bande / Optimizing the performance of dynamic sensor networks by controlling the synchronization in ultra wide band systems

Alhakim, Rshdee 29 January 2013 (has links)
Dans cette thèse nous nous sommes principalement concentrés sur les transmissions impulsion radio Ultra Large Bande (UWB-IR) qui a plusieurs avantages grâce à la nature de sa bande très large (entre 3.1GHZ et 10.6GHz) qui permet un débit élevé et une très bonne résolution temporelle. Ainsi, la très courte durée des impulsions émises assure une transmission robuste dans un canal multi-trajets dense. Enfin la faible densité spectrale de puissance du signal permet au système UWB de coexister avec les applications existantes. En raison de toutes ces caractéristiques, la technologie UWB a été considérée comme une technologie prometteuse pour les applications WSN. Cependant, il existe plusieurs défis technologiques pour l'implémentation des systèmes UWB. A savoir, une distorsion différente de la forme d'onde du signal reçu pour chaque trajet, la conception d'antennes très larges bandes de petites dimensions et non coûteuses, la synchronisation d'un signal impulsionnel, l'utilisation de modulation d'onde d'ordre élevé pour améliorer le débit etc. Dans ce travail, Nous allons nous intéresser à l'étude et l'amélioration de la synchronisation temporelle dans les systèmes ULB. / The basic concept of Impulse-Radio UWB (IR-UWB) technology is to transmit and receive baseband impulse waveform streams of very low power density and ultra-short duration pulses (typically at nanosecond scale). These properties of UWB give rise to fine time-domain resolution, rich multipath diversity, low power and low cost on-chip implementation facility, high secure and safety, enhanced penetration capability, high user capacity, and potential spectrum compatibility with existing narrowband systems. Due to all these features, UWB technology has been considered as a feasible technology for WSN applications. While UWB has many reasons to make it a useful and exciting technology for wireless sensor networks and many other applications, it also has some challenges which must be overcome for it to become a popular approach, such as interference from other UWB users, accurate modelling of the UWB channel in various environments, wideband RF component (antennas, low noise amplifiers) designs, accurate synchronization, high sampling rate for digital implementations, and so on. In this thesis, we will focus only on one of the most critical issues in ultra wideband systems: Timing Synchronization.
22

Observateurs et régulation de sortie robuste pour des systèmes non linéaires / Observers and robust output regulation for nonlinear systems

Astolfi, Daniele 27 May 2016 (has links)
Les observateurs et la régulation de sortie sont deux thèmes centraux de la théorie des système non linéaires. Bien que de nombreux chercheurs ont consacré leur attention à ces questions depuis plus de trente ans, il y a encore de nombreuses questions ouvertes. Dans la théorie des observateurs un rôle clé est joué par les observateurs à grand gain. Le but de la première partie de la thèse est d'etudier nouvelles techniques qui permettent de surmonter ou au moins d'atténuer les principaux problèmes qui caractérisent cette classe d'observateurs. Nous proposons une nouvelle classe d'observateurs à grand gain, appelé "low-power", qui permet de surmonter les problèmes numériques, d'éviter le phénomène de peaking et d'améliorer les propriétés de sensibilité aux bruit de mesure à haute fréquence. La deuxième partie de la thèse aborde du problème de la régulation de sortie, qui a été résolu pour les systèmes linéaires au cours des années 70, par Francis et Wonham qui ont énoncé le célèbre «principe de modèle interne". Des solutions constructives ont aussi été proposées dans le cadre non linéaire mais sous des hypothèses restrictives qui réduisent la classe des systèmes auxquels cette méthodologie peut être appliquée. Dans la thèse, nous nous concentrons sur le problème de la régulation de sortie en présence de perturbations périodiques, et nous proposons une nouvelle approche qui nous permet de considérer une classe plus large de systèmes non linéaires. La technique obtenué est robuste au sens défini par Francis et Wonham. / Observers and output regulation are two central topics in nonlinear control system theory. Although many researchers have devoted their attention to these issues for more than 30 years, there are still many open questions. In the observer theory a key role is played by the so called high-gain observers. The purpose of the first part of the thesis is to study novel techniques which allow to overcome or at least to mitigate some of the main drawbacks characterizing this class of observers. We propose a novel class of high-gain observers, denoted as ``low-power'', which allows to overcome numerical problems, to avoid the peaking phenomenon and to improve the sensitivity properties to high-frequency measurement noise. The second part of the thesis addresses the output regulation problem, solved for linear systems during the 70's by Francis and Wonham who coined the celebrated ``internal model principle''. Constructive solutions have also been proposed in the nonlinear framework but under restrictive assumptions that reduce the class of systems to which this methodology can be applied. In this thesis we focus on the output regulation problem in presence of periodic disturbances and we propose a novel approach which allows to consider a broader class of nonlinear systems. The resulting design is robust in the sense defined by Francis and Wonham.
23

Rôle de la vision pour le contrôle de la dynamique du mouvement lors d'un geste de pointage manuel chez l'adulte ainsi que chez l'enfant

Mackrous, Isabelle January 2009 (has links)
Thèse numérisée par la Division de la gestion de documents et des archives de l'Université de Montréal
24

Otimização meta heurística e controle baseado no modelo interno aplicados em sistemas de geração fotovoltaica conectados à rede elétrica monofásica

Chaves, Eric Nery 18 November 2016 (has links)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Este trabalho apresenta o estudo, desenvolvimento e aplicação de novas técnicas de controle aos sistemas de geração de energia fotovoltaica, conectados à rede elétrica monofásica, visando a melhoria da eficiência destes sistemas em relação aos métodos de controle tipicamente utilizados. O trabalho é dividido em duas partes principais, as quais estão relacionadas ao rastreamento do ponto de máxima potência (Maximum Power Point Tracking – MPPT) e, depois, ao controlador interno dos conversores boost-quadrático – lado dos painéis fotovoltaicos – assim como aos controladores do inversor de tensão, no lado da rede elétrica monofásica. A primeira parte do trabalho consiste no desenvolvimento de um algoritmo de meta heurística para o MPPT, o qual é baseado no método do recozimento simulado (Simulated Annealing - SA) e tem como objetivo a determinação do ponto de máximo global, buscando soluções fora de uma vizinhança próxima, de modo a evitar o atracamento em máximos locais da curva de potência de saída do arranjo de painéis fotovoltaicos, melhorando, assim, o aproveitamento da energia em situações de sombreamento parcial. A segunda parte do trabalho apresenta o projeto de controladores baseados no modelo interno (Internal Model Control – IMC) com 1 grau de liberdade (1 Degree of Freedom – 1 DOF) aplicados, primeiramente, ao conversor CC-CC Boost Quadrático, utilizado para o MPPT, e, posteriormente, a um inversor de tensão com filtro LCL, conectado à rede elétrica monofásica, operando no modo de injeção de corrente. É apresentada a modelagem matemática de ambos os conversores e analisada a compensação da realimentação interna ao sistema do inversor de tensão, correspondente ao desacoplamento da tensão da rede, através da estratégia de alimentação à frente (Feedforward). Visando-se uma base de comparação, para a análise de desempenho do conversor IMC – 1DOF, também é aplicado ao sistema de injeção de corrente, o controlador Proporcional-Ressonante (P+Res). São apresentados resultados de simulação computacional e experimentais de ambos os 8 controladores, os quais permitem verificar o desempenho do sistema em situação de rede fraca e carga local não-linear. / This paper presents the study, development and application of new control techniques for photovoltaic power generation systems, connected to single-phase power grid in order to improve the efficiency of these systems in relation to control methods typically used. The work is divided into two main parts, which are related to tracking the maximum power point (Maximum Power Point Tracking - MPPT) and then the internal controller of boost quadratic converters - side of the photovoltaic panels - as well as the controllers the voltage inverter, the side of the single-phase mains. The first part of the work is the development of a heuristic goal algorithm for MPPT, which is based on the method of simulated annealing (Simulated Annealing - SA) and aims at determining the overall maximum point, seeking out solutions in a close vicinity, so as to prevent the docking local maxima in the curve of power output of the photovoltaic array, thereby improving the utilization of energy in partial shading situations. The second part presents the design of controllers based on internal model (Internal Model Control - IMC) with 1 degree of freedom (1 Degree of Freedom - 1 DOF) applied, first, the DC-DC Boost Quadratic converter, used for MPPT, and thereafter, a voltage inverter with LCL filter connected to the single phase power supply operating in current injection mode. A mathematical modeling of both converters and analyzed the compensation of internal feedback to the voltage inverter system corresponding to the disconnection of the mains voltage through the power strategy a head (feedforward). A basis of comparison for the performance analysis of IMC-1DOF converter is aiming at, is also applied to the current injection system, Proportional-Resonant Controller (P + Res). They are presented computer simulation and experimental results of both controllers, which allow you to check the system performance in low and non-linear local load network situation. / Tese (Doutorado)
25

Controladores baseados no princípio do modelo interno com ação Anti-Windup / Controllers basead on internal model principle with anti-windup

Soares, Claudio Eduardo 28 April 2011 (has links)
Made available in DSpace on 2016-12-12T17:38:37Z (GMT). No. of bitstreams: 1 CLAUDIO EDUARDO SOARES.pdf: 20046362 bytes, checksum: 135e6d7d3a6f98bef9152afe645904c4 (MD5) Previous issue date: 2011-04-28 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The controllers based on the internal model principle have found emphasis on control systems due to its ability to perform robust tracking of signals whose generator models are embedded in their internal structures. Controllers with integral, resonant and repetitive terms are examples of this principle. However, the control systems are subject to physical limitations that restrict their operation under certain conditions. The amplitude saturation of the control action is the most common type of restriction found in real systems. The impacts of the saturation of control action are known as windup and its consequences for systems with integral action have already been exhaustive examined. However, the impacts of saturation of control action are not restricted to this type of controller. Other controllers based on the internal model principle are also affected by the windup phenomenon due to saturation of the action control. The impacts of the windup phenomenon for resonant, multi-resonant and repetitive controllers are investigated in this dissertation and an anti-windup technique is suggested to mitigate the impacts of the control saturation on these controllers. The proposed anti-windup technique is based on the conditional integration technique, originally developed for the controllers with integral action, and it is named conditional update. Simulation results are presented to validate the proposed technique. / Os controladores baseados no princípio do modelo interno têm encontrado destaque no controle de sistemas devido a sua capacidade de realizar o rastreamento robusto dos sinais cujos modelos geradores estejam embutidos nas suas estruturas internas. Os controladores com ação integral, ressonantes e repetitivos são exemplos da aplicação deste princípio. Contudo, os sistemas de controle estão sujeitos a limitações físicas que restringem suas condições de operação. A saturação da amplitude da ação de controle é o tipo de limitação mais comum encontrada nos sistemas reais. Os impactos da saturação da ação de controle são conhecidos como windup e suas consequências para os sistemas com ação integral já foram exaustivamente analisadas. Porém, os impactos da saturação da ação de controle não se restringem a este tipo de controlador. Outros controladores baseados no princípio do modelo interno também são afetados pelo fenômeno windup decorrente da saturação da ação de controle. Os impactos do fenômeno windup sobre os controladores ressonantes, multiressonantes e repetitivos são investigados nesta dissertação e uma técnica anti-windup é sugerida para atenuar os impactos da saturação da ação de controle sobre estes controladores. A técnica anti-windup proposta é baseada na técnica da integração condicional, originalmente desenvolvida para os controladores com ação integral e, por isso, denominada de atualização condicional. Resultados de simulação são apresentados para validação da técnica proposta.
26

Karel Teige, Jan Mukařovský a Bohuslav Brouk jako teoretikové surrealismu / Karel Teige, Jan Mukařovský and Bohuslav Brouk as Theorists of Surrealism

Kuchařová, Markéta January 2016 (has links)
The content of the thesis is the surrealistic object and its reflection among the czech theorists. The first part of the thesis describes the problematic of surrealistic object and subject-objective relations in surrealism. Breton's philosophical approach is introduced, as well as his concept of object's crisis. The first part also outlines the meaning of found object, concept of convulsive beauty and Dali's paranoic-critical method as a source of surrealistic imagery. The second part of the thesis is focused on the reflection of surrealistic object presentation and on relations between arts and reality according to the concepts of Jan Mukařovský. The third part of the thesis is dedicated to conceptualization of aesthetics of Bohuslav Brouk in the light of surrealism. In this part the scope of Brouk's understanding of subject-objective relations is briefly described, as well his interpretation of surrealistic object.The last part of the thesis outlines the Teige's conception of surrealistic work in the terms of the sources of surrealistic imagination.
27

[en] MODEL FOR CALCULATING THE NEED FOR CAPITAL TO COVER THE UNDERWRITING RISKS OF NON-LIFE OPERATIONS / [pt] MODELO DE CÁLCULO DA NECESSIDADE DE CAPITAL PARA COBRIR OS RISCOS DE SUBSCRIÇÃO DE OPERAÇÕES NÃO VIDA

EDUARDO HENRIQUE ALTIERI 03 May 2019 (has links)
[pt] Importante questão que se coloca atualmente é a capacidade de medição do volume de capital necessário, às sociedades seguradoras, para fazer frente aos diversos tipos de risco que tais companhias suportam no exercício de suas atividades. Esse volume de capital necessário deve ser tal que permita à companhia suportar variabilidades no negócio. As motivações para o desenvolvimento de modelos matemáticos visando à determinação desta necessidade de capital são tanto a preocupação das próprias companhias com a sua gestão de risco, como também aspectos relacionados ao estabelecimento de requerimentos de capital exigidos pelo regulador de seguro às sociedades seguradoras para fazer frente aos riscos suportados. Entre tais riscos, encontra-se a categoria dos riscos de subscrição, relacionados diretamente à operação central de uma seguradora (design de produto, precificação, processo de aceitação, regulação de sinistros e provisionamento). Esta dissertação apresenta uma proposta de modelo para determinação do volume necessário de capital para fazer frente aos riscos de subscrição, na qual tal categoria de riscos é segregada nos riscos de provisão de sinistros (relativos aos sinistros ocorridos e, assim, relacionados às provisões de sinistros) e nos riscos de emissão/precificação (relativos aos sinistros à ocorrer num horizonte de tempo de 1 ano, considerando novos negócios). Em especial, o modelo proposto utiliza processos de simulação que levam em consideração a estrutura de dependência das variáveis envolvidas e linhas de negócio, fazendo uso do conceito de cópulas condicionais. / [en] Important question that arises today is the ability to measure the amount of capital necessary to insurance companies, to cope with various types of risk that these companies support in performing their activities. This volume of capital required must be such as to enable the company to bear variability in business. The motivations for the development of mathematical models aimed at the determination of those capital needs are both the concern of companies with their own risk management, as well as aspects related to establishing capital requirements required by the insurance regulator to insurance companies to face the risks borne. Among such risks, is the category of underwriting risks, directly related to the core operation of an insurance company (product design, pricing, underwriting process, loss settlement and provisioning). This dissertation proposes a model for determining the appropriate amount of capital to cope with the underwriting risks, where such risk category is segregated in reserving risks (relative to incurred events) and pricing risks (relative to events occurring in the time horizon of 1 year, considering new businesses). In particular, the proposed model uses simulation processes that take into account the dependence structure of the variables involved and lines of business, making use of the concept of conditional copulas.
28

Modelling, Analysis, and Control Aspects of a Rotating Power Electronic Brushless Doubly-Fed Induction Generator

Malik, Naveed ur Rehman January 2015 (has links)
This thesis deals with the modeling, analysis and control of a novel brushlessgenerator for wind power application. The generator is named as rotatingpower electronic brushless doubly-fed induction machine/generator (RPEBDFIM/G). A great advantage of the RPE-BDFIG is that the slip power recoveryis realized in a brushless manner. This is achieved by introducing an additionalmachine termed as exciter together with the rotating power electronicconverters, which are mounted on the shaft of a DFIG. It is shown that theexciter recovers the slip power in a mechanical manner, and delivers it backto the grid. As a result, slip rings and carbon brushes can be eliminated,increasing the robustness of the system, and reducing the maintenance costsand down-time of the turbine. To begin with, the dynamic model of the RPE-BDFIG is developed andanalyzed. Using the dynamic model, the working principle of the generatoris understood and its operation explained. The analysis is carried out atspeeds, ±20% around the synchronous speed of the generator. Moreover, thedynamics of the generator due to external load-torque disturbances are investigated.Additionally, the steady-state model is also derived and analyzed forthe machine, when operating in motor mode. As a next step, the closed-loop control of the generator is considered indetail. The power and speed control of the two machines of the generator andthe dc-link voltage control is designed using internal model control (IMC)principles. It is found that it is possible to maintain the stability of thegenerator against load-torque disturbances from the turbine and the exciter,at the same time maintain a constant dc-link voltage of the rotor converter.The closed-loop control is also implemented and the operation of the generatorwith the control theory is confirmed through experiments.In the third part of the thesis, the impact of grid faults on the behaviourof the generator is investigated. The operation of the generator and its responseis studied during symmetrical and unsymmetrical faults. An approachto successful ride through of the symmetrical faults is presented, using passiveresistive network (PRN). Moreover, in order to limit the electrical and mechanicaloscillations in the generator during unsymmetrical faults, the dualvector control (DVC) is implemented. It is found that DVC to a certain extentcan be used to safeguard the converter against large oscillations in rotorcurrents. Finally, for completeness of the thesis, a preliminary physical design ofthe rotating power electronic converter has been done in a finite elementsoftware called ANSYS. The thermal footprint and the cooling capability,with estimates of the heatsink and fan sizes, are presented. Besides, another variant of a rotating electronic induction machine whichis based on the Lindmark concept and operating in a single-fed mode is also investigated. It’s steady-state model is developed and verified through experiments. / <p>QC 20151006</p>
29

Controladores discretos de tensão baseados no princípio do modelo interno aplicados a inversores trifásicos PWM / Discrete-time voltage controllers based on the internal model principle used in three-phase pwm inverters

Botterón, Fernando 09 December 2005 (has links)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This thesis contributes to the analysis, project and implementation of discrete-time controllers based on the Internal Model Principle, aiming to improve the performance of three-leg three-phase PWM inverters with insulating output transformer usually found in the output stage of medium power double-conversion UPS. Initially, an investigation about issues concerning to the discrete-time models of three-phase inverters with space vector modulation and the LC filter have been carried out. This investigation shows the impact of different switching sequences, sampling instants and filter cut-off frequency on the harmonic spectrum of sampled variables used for feedback. This is a concern when the switching frequency is low to limit the switching losses as in medium and high power UPS. In this way, this thesis proposes sampling methods that make possible to reduce the low order harmonics on the interest variables, which is relevant when state feedback is used. These methods allow to obtain discrete-time average linear models useful for the controller design. In addition, the saturation of the insulating transformer is addressed in details. The dc component arising from the digital implementation and from the circuit measures non idealities, and then amplified by an inadequate choice of the controller, may lead the transformer to saturate. In order to solve this problem, and in accordance with the Internal Model Principle, internal models adequate to the plant under consideration as well as discrete-time voltage controllers in stationary and synchronous frames which are not prone to amplify the dc component, are proposed. Another goal of this thesis is the improvement of the UPS output voltage transient response due to linear and non linear load steps. This is obtained considering the sampling methods before mentioned, combined with internal models with reduced number of poles and low sampling rate. It is demonstrated that it is possible to improve significantly the output voltage transient responses, as well as to satisfy the rigorous classification of the standard IEC62040-3 for UPS without degrading the steady state performance. In addition, these control structures have enough stability margins, as proved in each case, and they results in simple and attractive solutions to be implemented in 8 or 16 bits fixed-point arithmetic microcontrollers and DSP with reduced memory space. The feasibility of the proposed solutions is verified with experimental results demonstrating both transient and steady-state performances. Finally, a comparative analysis of the proposed control structures, over the light of the standard IEC62040-3, is presented. / A presente tese de doutorado contribui para a análise, projeto e implementação de controladores discretos baseados no Princípio do Modelo Interno, com o intuito de aprimorar o desempenho de inversores trifásicos PWM a três braços com transformador isolador usualmente utilizados no estágio de saída de UPS de dupla conversão de média potência. Inicialmente se realiza uma investigação sobre os aspectos relacionados à obtenção do modelo discreto de inversores trifásicos com modulação space vector e do filtro de saída. Essa investigação mostra o impacto de diferentes seqüências de comutação, instantes de amostragem e freqüência de corte do filtro no conteúdo harmônico das variáveis amostradas usadas para realimentação. Isso é uma preocupação quando a freqüência de comutação é baixa para limitar as perdas em UPS de média e alta potência. Nesse sentido essa tese propõe métodos de amostragem que possibilitam reduzir as harmônicas de baixa ordem nas variáveis de interesse o que adquire importância quando se realiza a realimentação dos estados da planta. Esses métodos permitem a obtenção de modelos médios lineares úteis para o projeto do controlador. Além disso, a saturação do transformador de isolação é analisada em detalhe. A componente contínua oriunda da implementação digital e das não idealidades dos circuitos de medição, e amplificada por uma escolha inadequada do controlador, pode levar o transformador à saturação. Com o intuito de solucionar esse problema, e de acordo com a teoria do Princípio do Modelo Interno, são propostos modelos internos adequados à planta em questão bem como controladores discretos de tensão em eixos estacionários e síncronos, que não tem tendência a amplificar a componente contínua. Outro dos objetivos dessa tese é o aprimoramento da resposta transitória das tensões de saída da UPS na presença de degraus de carga linear e não linear. Isso é obtido considerando-se os métodos de amostragem mencionados acima, combinado com modelos internos com número de pólos e taxa de amostragem reduzidos. Demonstra-se que é possível aprimorar significativamente a resposta transitória das tensões de saída bem como satisfazer a exigente classificação da norma IEC62040-3 para UPS, sem degradar o desempenho de regime permanente. Além disso, essas estruturas de controle possuem suficiente margem de estabilidade, como provado em cada caso, e estas resultam em soluções simples e atrativas para serem implementadas em microcontroladores e DSP de aritmética de ponto fixo, com palavras de 8 e 16 bits e capacidade reduzida de memória. A viabilidade prática das propostas realizadas é verificada com resultados experimentais em regime permanente e transitório. Finalmente, apresenta-se uma análise comparativa das estruturas de controle propostas, sob o enfoque da norma IEC62040-3.
30

[en] A MIXED PARAMETRIC AND NON PARAMETRIC INTERNAL MODEL TO UNDERWRITING RISK FOR LIFE INSURANCE / [pt] MODELO INTERNO MISTO, PARAMÉTRICO E NÃO PARAMÉTRICO DE RISCO DE SUBSCRIÇÃO PARA SEGURO DE VIDA

MARIANA DA PAIXAO PINTO 09 November 2017 (has links)
[pt] Com as falências ocorridas nas últimas décadas, no setor de seguros, um movimento surgiu para desenvolver modelos matemáticos capazes de ajudar no gerenciamento do risco, os chamados modelos internos. No Brasil, a SUSEP, seguindo a tendência mundial, exigiu que as empresas, interessadas em atuar no país, utilizassem um modelo interno para risco de subscrição. Com isto, obter um modelo interno tornou-se primordial para as empresas seguradoras no país. O modelo proposto neste trabalho ilustrado para seguro de vida para risco de subscrição se baseia em Cadeias de Markov, no Teorema Central do Limite, parte paramétrica, e na Simulação de Monte Carlo, parte não paramétrica. Em sua estrutura foi considerada a dependência entre titular e dependentes. Uma aplicação a dados reais mascarados foi feita para analisar o modelo. O capital mínimo requerido calculado utilizando o método híbrido foi comparado com o valor obtido utilizando somente o método paramétrico. Em seguida foi feita a análise de sensibilidade do modelo. / [en] The bankruptcies occurred in recent decades in the insurance sector, a movement arose to develop mathematical models capable of assisting in the management of risk, called internal models. In Brazil, the SUSEP, following the worldwide trend, demanded that the companies, interested in working in the country, using an internal model for underwriting risk. Because of this, developing an internal model has become vital for insurance companies in the country. The proposed model in this work illustrated to life insurance for the underwriting risk was based on the Markov chains, on the Central Limit Theorem to the parametric method, and Monte Carlo Simulation to the non-parametric method. In its structure, the dependence between the holder and dependents was considered. An application to masked real data was made to analyze the model. The minimum required capital calculated using the hybrid method was compared with the value obtained using only the parametric method. Then the sensitivities of the model were investigated.

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