Dans cette thèse nous appliquons le calcul de Malliavin à l'estimation statistique de paramètres de certains processus stochastiques et à l'obtention de théorèmes de la limite centrale pour les variations quadratiques à poids de processus fractionnaires et/ou à deux paramètres ainsi qu'à l'approximation gaussienne de mesures de probabilités multidimensionnelles. Dans le Chapitre 1 nous construisons des estimateurs de type Stein pour la dérive de processus gaussiens et pour l'intensité de processus de Poisson. Dans le Chapitre 2 nous calculons l'estimateur bayésien du signal d'entrée d'un canal de Poisson et nous étendons notre résultat aux canaux dont le bruit est une martingale normale possédant la propriété de représentation chaotique. Dans le Chapitre 3 nous établissons des théorèmes de la limite centrale pour les variations quadratiques à poids du drap brownien standard (nous permettant de donner un estimateur asymptotiquement normal de la variation quadratique de certains processus de diffusion à deux paramètres) puis pour celles de certains draps browniens fractionnaires. Dans ce même chapitre nous établissons un théorème de la limite centrale pour les variations quadratiques à poids du mouvement brownien fractionnaire d'indice $H=1/4$ nous permettant de donner le comportement asymptotique des sommes de Riemann à signe alterné associées au mouvement brownien fractionnaire d'indice $H=1/4$. Enfin dans le Chapitre 4 nous appliquons la méthode de Stein et du calcul de Malliavin afin d'obtenir des bornes explicites pour l'approximation gaussienne multidimensionnelle de fonctionnelles de champs gaussiens. Nous appliquons en particulier nos résultats aux théorème de la limite centrale de Breuer et Major pour des champs associés à un mouvement brownien fractionnaire.

Dans cette thèse nous nous concentrons sur l'établissement de certains théorèmes limite et l'approximations probabilistes. Un théorème limite est un résultat indiquant que la structure à grande échelle de certains systèmes aléatoires peut être véritablement approchée par une distribution de probabilité typique. Les exemples classiques sont le Théorème Central Limite , le principe d'invariance de Donsker, etc. D'autre part, nous appelons approximation probabiliste toute formalation mathématique permettant d'évaluer des distances entre les lois de deux éléments aléatoires. Lorsque l'une des distributions est gaussienne, on parle d'approximation normale. Le TCL et l'approximation normale associée sont l'un des thèmes récurrents de toute la théorie des probabilités. Au cours des cinq dernières années, I. Nourdin, G. Peccati et d'autres auteurs ont développé une nouvelle théorie d'approximations normales et non normales pour des variables aléatoires sur l'espace de Wiener, qui est basée sur l'utilisation d'un calcul de variations de dimension infinie, connu sous le nom de ''calcul de Malliavin'', ainsi que la célèbre ''méthode de Stein'' pour les approximations probabilistes. Leur travail généralise les résultats précédents par D. Nualart et G. Peccati à propos de théorèmes limite portant sur les chaos de Wiener. Après cela, G. Peccati, J. L. Solé, M.S. Taqqu et F. Utzet ont étendu cette méthode pour obtenir des approximations normales sur l'espace de Poisson. L'objectif de cette thèse est d'obtenir des TCLs multi-dimensionnels sur l'espace de Poisson, ainsi que plusieurs extensions.

<p>This dissertation intervenes in the fields of modernist criticism and new media studies to examine an under-appreciated reciprocity between them. I argue that this reciprocity has not yet been adequately incorporated into a critical reckoning of the modernist period, a literary age too often neglected by new media studies as an epoch of "old media" productions. Even if modernist poets did create works largely intended for traditional book-bound channels, the imaginations that produced those works were forged in the combustible mix of new media and technologies that emerged in the early 20th century.</p><p>The argument focuses on the poetics of Ezra Pound and Gertrude Stein, innovative poets who composed some of the most prescient, insightful writings on record about the connections linking technological and poetical developments. Through an examination of these poets' speculative writings, I argue that their experimental poetic methods emerged from their understanding of the challenges posed by new media and technologies. Among these challenges were new velocities of signification that emerged with the proliferation of the telegraph, new capacities for the storage of information that arrived with the introduction of the phonograph, an altered relationship to language itself with the externalized alphabet of the typewriter, and a new feel for how meaning could be generated through the montage logic of the cinema.</p><p>Drawing on a critical perspective derived from Martin Heidegger, pragmatist philosophers, Frankfurt School theorists and new media scholars such as Friedrich Kittler and Marshall McLuhan, I examine how modernist poetry, when framed as a media event, can help us understand how technological and media shifts influence our conceptions of our own inner and outer domains.</p> / Dissertation

Afin de réaliser des traitements locaux sur des données de diverses natures (volumes, images ou signaux) contenant des éléments informatifs dans certaines bandes de fréquence, nous nous intéressons dans cette thèse à l'étude de bancs de filtres (BdF). Plus précisément, nous étudions l'existence et la synthèse de BdF de réponses impulsionnelles finies (RIF) inverses d'un BdF d'analyse RIF redondant complexe fixé. Nous proposons en particulier des méthodes testant l'inversibilité de la matrice d'analyse et la construction d'un inverse explicite à l'aide de la formulation polyphase. À partir de ce dernier, nous proposons une paramétrisation réduite de l'ensemble des BdF de synthèse permettant d'optimiser leurs réponses selon différents critères. Cette étude est étendue au cas multidimensionnel notamment par l'utilisation de la notion de résultant. Ces outils permettant de représenter efficacement certaines informations structurées dans des données, il devient possible de les préserver tout en rejetant d'éventuelles perturbations. Le premier cadre considéré est celui du bruit gaussien. Nous avons utilisé le principe de Stein pour proposer deux méthodes de débruitage : FB-SURELET-E et FBSURELET-C. Elles sont comparées à des méthodes récentes de débruitage conduisant à de bons résultats en particulier pour des images texturées. Un autre type d'application est ensuite considéré : la séparation des structures orientées. Afin de traiter ce problème, nous avons développé une méthode de filtrage anisotrope. Les algorithmes réalisés sont finalement testés sur des données issues de différents domaines applicatifs (sismique, microscopie, vibrations)

Abstract Taiwan's social security has implemented at the institutional for a while. The development of social security shows the face of diversity in each era. There is diverse social security law can be described with impressive results, but we also have to reflect on another issue: What is Taiwan's social security law the common purpose? Every laws and regulations both have a different development process, in the whole social security should have their roles, if the social security policies and regulations have a lack in the principle of system, the government which in the administrative system may be faces obstacles. Particularly, after the democratization of political system in Taiwan, the development of social security measures cannot prevent the intrusion of politics, vote often become the means of achieving the people's welfare and security, and just in the implementation of policies on social security payments of uncertainty measures, it is unable to satisfy what people's need essentially. At this point, the state is difficult to achieve the protection of people's right and equalize opportunity and remove social conflicts, the state power is hard to protect the right of freedoms and vulnerable function, it caused the implementation of social justice by the state as the legitimate role become increasingly disordered. View of diverse of the development of Taiwan's social security law, the legal system reflects the purpose of social security to promote harmony development of society which has become an important starting point. Thus, this study is about the status of social security law, the legal aspects of evidence which in our Constitution, "Social Security" in the normative sense, that is what we want to create? The concept of this country endowed with a local social security of the explanation? Or should we look for the legal science for another closer theory of state and society relations outside positive law, in order to facilitate the establishment of law system. And another study is from the philosophy of law, analysis Lorenz von Stein's book of social theory, which is German scholar of public law, and the book of John Rawls theory of justice, which is American political scientist. And then look for the social constitution real meaning behind the words to construct a more complete system of social security law. Attempt to think through the social sciences, the social security law find a common language, and to answer how to construct a Taiwanese legal system of social security, people's social life will have a more harmonious development of justice in order.

¡@¡@The literature of Yang Kui clearly reflects his perception and expectation towards the social-reality life at the time. Yang Kui casts his ideas into literature as a manifestation of social consciousness and literature. Nonetheless, what is the major discussion of social consciousness for the literature of Yang Kui? Which social issues are presented from his literature? Has he proposed any kind of mindset for social reform among his works? Most importantly, what is the origin of his social thought? What shall be the outlook when we conduct research on these issues through social science other than from literature fields? ¡@¡@The paper applies ¡§Culture Research Method¡¨ as the research approach in attempt to analyze the formation of social thought by Yang Kui through literature, history and sociology dimensions, as well as incorporating social thoughts into literature. With regards to analysis on literature and history, the novels published by Yang Kui before his death is used as the scope of the paper analysis with historical review on the content of novels and life course. With regards to the sociology with basis from the ¡§National System: Social Theory¡¨ proposed by Lorenz von Stein and interpreted by Daw-Yih Jang, the social issues portrayed from Yang Kui¡¦s novels and the methods of social reform proposed are hence communicated. ¡@¡@With regards to the origin of the Yan Kui¡¦s social thoughts, all books regarding to political or thinking were subject to tight control due to the Japanese colonization over Taiwan. The enlightenment of the social thoughts by Yang Kui originated from his study in Japan, during the Taisho period (1912-1926) when coincided with the surge of democracy. Yang Kui was able to absorb new knowledge and thereby solidified his ideas of socialism. To trace the origin, the paper discussed the social democratic atmosphere shaped from the Taisho Period after Meiji Restoration, from the dimension of how Japanese Constitutional System turned to Prussia German and the profound impact of the development of contemporary Japanese Constitutional System on German Scholar, Lorenz von Stein. ¡@¡@Yang Kui underwent twice regime changes in his life and in terms of novels, Yang Kui implemented anti-monarchy and anti-colonial oppression as the manifestation of social consciousness and literature during the Japanese Colonial Period. During the National Government Period, Yang Kui announced the ¡§Peace Declaration¡¨ to ease ethnic conflict however he ended up in prison for 12 years. His literature style also changed; who no longer confronted authorities but continued to care for the society through inspirational articles. The paper divides the social issues discussed in the novels by Yang Kui and organized his ideas towards social reform, then supplemented by the social issues concerned by Yang in order to observe the legislative trends on social issues from Taiwanese Government.

Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references. Available also from UMI Company.

Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references (leaves 203-216). Available also in a digital version from Dissertation Abstracts.

The intent of this thesis, as the title suggests, is to explore the autobiographical and religious writings of Edith Stein---philosopher and protegee of the phenomenologist, Edmund Husserl, Carmelite nun and religious thinker---in order to establish the validity of attributing a theology of the cross to her life and works. This theological method---or way of "doing" theology---unites the cognitive and practical dimensions of Christian life. The investigation is, therefore, directed at underscoring the relational dynamics, core dispositions and philosophical/religious directives that highlight the unity of praxis and intellection in Stein's personhood and thought-world. The search for correlations is restricted (wherever possible) to her own words and a chronological/cumulative format is maintained throughout to trace the links between her Hebraic roots, philosophical world view, theory of empathy, familiarity with Luther's theology of the cross, and her own reflections on the cross. What comes through is a Judeo-Christian theological outlook that grew out of the empathetic phenomenon and gained momentum in the paradox of the cross.

Charnigo and Srinivasan originally developed compound estimators to nonparametrically estimate mean response functions and their derivatives simultaneously when there is one response variable and one covariate. The compound estimator maintains self consistency and almost optimal convergence rate. This dissertation studies, in part, compound estimation with multiple responses and/or covariates. An empirical comparison of compound estimation, local regression and spline smoothing is included, and near optimal convergence rates are established in the presence of multiple covariates. James and Stein proposed an estimator of the mean vector of a p dimensional multivariate normal distribution, which produces a smaller risk than the maximum likelihood estimator if p is at least 3. In this dissertation, we also extend their idea to a nonparametric regression setting. More specifically, we present Steinized local regression estimators of p mean response functions and their derivatives. We consider different covariance structures for the error terms, and whether or not a known upper bound for the estimation bias is assumed. We also apply Steinization to compound estimation, considering the application of Steinization to both pointwise estimators (for example, as obtained through local regression) and weight functions. Finally, the new methodology introduced in this dissertation will be demonstrated on numerical data illustrating the outcomes of a laboratory experiment in which radiation induces nanoparticles to scatter evanescent waves. The patterns of scattering, as represented by derivatives of multiple mean response functions, may be used to classify nanoparticles on their sizes and structures.