Dissertations / Theses on the topic 'Serial independence'

To be effective, a linear congruential random number generator (LCG) should produce values that are (a) uniformly distributed on the unit interval (0,1) excluding endpoints and (b) substantially free of serial correlation. It has been found that many statistical methods produce inflated Type I error rates for correlated observations. Theoretically, independently seeding an LCG under the following conditions attenuates serial correlation: (a) simple random sampling of seeds, (b) non-replicate streams, (c) non-overlapping streams, and (d) non-adjoining streams. Accordingly, 4 algorithms (each satisfying at least 1 condition) were developed: (a) zero-leap, (b) fixed-leap, (c) scaled random-leap, and (d) unscaled random-leap. Note that the latter satisfied all 4 independent seeding conditions. To assess serial correlation, univariate and multivariate simulations were conducted at 3 equally spaced intervals for each algorithm (N=24) and measured using 3 randomness tests: (a) the serial correlation test, (b) the runs up test, and (c) the white noise test. A one-way balanced multivariate analysis of variance (MANOVA) was used to test 4 hypotheses: (a) omnibus, (b) contrast of unscaled vs. others, (c) contrast of scaled vs. others, and (d) contrast of fixed vs. others. The MANOVA assumptions of independence, normality, and homogeneity were satisfied. In sum, the seeding algorithms did not differ significantly from each other (omnibus hypothesis). For the contrast hypotheses, only the fixed-leap algorithm differed significantly from all other algorithms. Surprisingly, the scaled random-leap offered the least difference among the algorithms (theoretically this algorithm should have produced the second largest difference). Although not fully supported by the research design used in this study, it is thought that the unscaled random-leap algorithm is the best choice for independently seeding the multiplicative congruential random number generator. Accordingly, suggestions for further research are proposed.

The United States is the world's largest oil consumer demanding about twenty five percent of the total world oil production. Whenever there are difficulties to supply the increasing quantities of oil demanded by the market, the price of oil escalates leading to what is known as oil price spikes or oil price shocks. The last oil price shock which was the longest sustained oil price run up in history, began its course in year 2004, and ended in 2008. This last oil price shock initiated recognizable changes in transportation dynamics: transit operators realized that commuters switched to transit as a way to save gasoline costs, consumers began to search the market for more efficient vehicles leading car manufactures to close 'gas guzzlers' plants, and the government enacted a new law entitled the Energy Independence Act of 2007, which called for the progressive improvement of the fuel efficiency indicator of the light vehicle fleet up to 35 miles per gallon in year 2020. The past trend of gasoline consumption will probably change; so in the context of the problem a gasoline consumption model was developed in this thesis to ascertain how some of the changes will impact future gasoline demand. Gasoline demand was expressed in oil equivalent million barrels per day, in a two steps Ordinary Least Square (OLS) explanatory variable model. In the first step, vehicle miles traveled expressed in trillion vehicle miles was regressed on the independent variables: vehicles expressed in million vehicles, and price of oil expressed in dollars per barrel. In the second step, the fuel consumption in million barrels per day was regressed on vehicle miles traveled, and on the fuel efficiency indicator expressed in miles per gallon. The explanatory model was run in EVIEWS that allows checking for normality, heteroskedasticty, and serial correlation. Serial correlation was addressed by inclusion of autoregressive or moving average error correction terms. Multicollinearity was solved by first differencing. The 36 year sample series set (1970-2006) was divided into a 30 years sub-period for calibration and a 6 year "hold-out" sub-period for validation. The Root Mean Square Error or RMSE criterion was adopted to select the "best model" among other possible choices, although other criteria were also recorded. Three scenarios for the size of the light vehicle fleet in a forecasting period up to 2020 were created. These scenarios were equivalent to growth rates of 2.1, 1.28, and about 1 per cent per year. The last or more optimistic vehicle growth scenario, from the gasoline consumption perspective, appeared consistent with the theory of vehicle saturation. One scenario for the average miles per gallon indicator was created for each one of the size of fleet indicators by distributing the fleet every year assuming a 7 percent replacement rate. Three scenarios for the price of oil were also created: the first one used the average price of oil in the sample since 1970, the second was obtained by extending the price trend by exponential smoothing, and the third one used a longtime forecast supplied by the Energy Information Administration. The three scenarios created for the price of oil covered a range between a low of about 42 dollars per barrel to highs in the low 100's. The 1970-2006 gasoline consumption trend was extended to year 2020 by ARIMA Box-Jenkins time series analysis, leading to a gasoline consumption value of about 10 millions barrels per day in year 2020. This trend line was taken as the reference or baseline of gasoline consumption. The savings that resulted by application of the explanatory variable OLS model were measured against such a baseline of gasoline consumption. Even on the most pessimistic scenario the savings obtained by the progressive improvement of the fuel efficiency indicator seem enough to offset the increase in consumption that otherwise would have occurred by extension of the trend, leaving consumption at the 2006 levels or about 9 million barrels per day. The most optimistic scenario led to savings up to about 2 million barrels per day below the 2006 level or about 3 millions barrels per day below the baseline in 2020. The "expected" or average consumption in 2020 is about 8 million barrels per day, 2 million barrels below the baseline or 1 million below the 2006 consumption level. More savings are possible if technologies such as plug-in hybrids that have been already implemented in other countries take over soon, are efficiently promoted, or are given incentives or subsidies such as tax credits. The savings in gasoline consumption may in the future contribute to stabilize the price of oil as worldwide demand is tamed by oil saving policy changes implemented in the United States.
M.S.
Department of Civil and Environmental Engineering
Engineering and Computer Science
Civil Engineering MS

The focus of this study is the underground music scene in Belgrade, Serbia. This work requires the exploration of varied cultural and market factors that have shaped the scene, resulting in its present form. The explored phenomenon is complex and achieving the necessary depth of analysis will involve the use of a wide set of theoretical sources and research methods. The fieldwork includes in-depth interviews, reflective accounts of longitudinal participant observation, data collected through email correspondence, and a large amount of documentary data. Data analysis will be articulated into a single methodology (examined in depth in Chapter 3).

The theme of this thesis is position of Kosovo in international relations. Kosovo unilaterally declared independence from Serbia in February 2008 and belongs to the failed states. In this thesis I will examine the main causes of the dysfunction of Kosovo, and how it is reflected in Kosovo current position.

This critical review serves as a significant formal documentation of the postmodern self-reflexive theatre in the postmodern and post-independence Singapore. Through the Human Lefts Series, which I conceptualised and performed between 2005 and 2009, we are able to look at postmodern Singapore theatre beyond issues relating to the loss of cultural and historical past, which might not be significant for those who were born after 1965. The situation is such that, currently, there is no formal documentation of postmodern self-reflexive theatre in the Singapore context, especially theatre pieces responding to postmodern, post-independence Singapore. This critical review aims to detail analysis made from the Human Lefts Series and its significant contribution to the study of self-reflexivity. More relevant issues to the postmodern Singapore include the current political situation, alternative sexualities (homosexuality and transexualism explored in the Human Lefts Series), and the effect of 'cloning' and appropriation being the key cultural dominant of Singapore. By the end 2009, a total of four pieces of works under the Human Lefts umbrella was showcased to the public. Three main outputs will be discussed in this review. The study aims to answer the following research questions: I. What is self-reflexivity in the postmodern, post-independence Singapore context? 2. How has the Human Lefts Series responded to the self-reflexivity defined in this research? 3. How has the concept of self-reflexivity affected the process of creating the Human Lefts Series? 4. What further inferences can be made, in relation to postmodern theories, from the process of creating the Human Lefts Series? This portfolio also highlights the absence of a physical rehearsal process for the Human Lefts Series. With a clear performance structure, a performer can walk into the performance and begin the delivery of the performance immediately. There is also a discussion on the functions of a performer in a postmodern self-reflexive theatre, in relation to Roland Barthes' essay on The Death of the Author. The performer's experience cannot be totally separated from the character in a postmodern self-reflexive performance. The portfolio consists of the main body of text (the review), a set of appendices and the video recording of the three research outputs. It is recommended to watch the video recording (performances) prior to reading this review.

A lacunary series is a Taylor series with large gaps between its non-zero coefficients. In this thesis we exploit these gaps to obtain results of linear independence of values of lacunary series at integer points. As well, we will study different methods found in Diophantine approximation which we use to study arithmetic properties of values of lacunary series at algebraic points. Among these methods will be Mahler's method and a new approach due to Jean-Paul Bézivin.

Elementary students continue to read below proficiency levels. Principals play a key role in the reading programs at their school. The purpose of this study was to identify perceptions of selected elementary principals and teachers regarding the principal's role in the development, implementation, and continuation of an effective series reading program. Through this study, factors contributing to the success or failure of the principal's role in a series reading program were suggested. A qualitative research design was used with semi-structured interviews to determine the perceptions of principals and teachers regarding the role of the principal in the development, implementation, and continuation of a series reading program. Principals and teachers were interviewed from elementary schools in Alabama and Nevada. The findings from the research provide principals and division leaders a compendium of strategies and themes to be used to implement and continue a successful series reading program. The findings suggest that principals empower and motivate teachers and staff to implement new and continue existing reading programs by modeling it themselves, that principals allocate funding for series reading books to add to the collection of books at the school, and that a principal's literacy background and personal experiences influence the effectiveness of a series reading program. Principals and teachers that indicated reading books in a series was beneficial to struggling readers and students new to learning English (L2), and that the series reading program promoted adult-student relationships supportive of increased reading volume. Implications for school leaders and principals are shared as well as suggestions for future research.
Doctor of Education
The purpose of the study was to identify perceptions of selected elementary principals and teachers regarding the role of the principal in the development, implementation, and continuation of an effective series reading program. Through this study, factors contributing to the success or failure of the principal's role in a series reading program were suggested. Principals and teachers were interviewed from elementary schools in Alabama and Nevada. The findings suggest that principals empower and motivate teachers and staff to implement new and continue existing reading programs by modeling it themselves, that principals allocate funding for series reading books to add to the collection of books at the school, and that a principal's literacy background and personal experiences influence a series reading program. Principals and teachers indicated that reading books in a series was beneficial to struggling readers and students new to learning English (L2), and that the series reading program promoted adult-student relationships supportive of increased reading volume. Implications for school leaders and principals are shared as well as suggestions for future research.

In recent decades, countries around the globe have engaged in rule of law and judicial reform initiatives, with such efforts being most prominent in transitional democracies, post-conflict and post-communist countries. Despite the fact that the concepts of judicial independence and the rule of law continue to be contested among political and legal scholars, popular wisdom and belief in the international community suggests that an independent judiciary is the cornerstone of a democratic, market-based society based on the rule of law. However, the disagreement over the extent to which an independent judiciary effects the establishment of the rule of law has resulted in the failure to determine whether an independent judiciary is necessary for the establishment of the rule of law, and thereby a stable and peaceful society where human rights and civil liberties prevail. This paper examines the effect of judicial independence on the establishment of the rule of law, and analyzes whether the type of political regime and legal system of a country affects judicial independence and the rule of law. I use data available from the most recent years of 2007 through 2012 that are comprised of a set of indicators of judicial independence and the rule of law covering 51 different countries in the global system. OLS multiple regression is used to analyze the effect of three independent variables (legal system, type of political regime, and judicial independence) on two dependent variables (judicial independence and the rule of law). It is expected that higher levels of judicial independence will be strongly associated with an established rule of law, and that the type of political regime and legal system will affect the presence of a highly independent judiciary. Additionally, I employ qualitative case studies of Serbia and Moldova in order to examine justice sector reforms taking place and assess their impact. The cases of Serbia and Moldova provide an example of the global effort to reform the rule of law and establish an independent judiciary and demonstrates the need to enshrine judicial independence not only within the content of legal documents, but also in practice. The results of the comparative quantitative analysis demonstrate the importance of judicial independence, particularly de facto judicial independence, in establishing the rule of law. Furthermore, the qualitative studies of Serbia and Moldova show how the lack of judicial independence in both countries can be linked to human rights violations adjudicated by the European Court of Human Rights (ECHR). The goal of this research is to add to the growing field of transitional justice, and contribute to comparative law and politics literature concerning judicial independence and the rule of law.

Die Pseudomomente dienen als Charakteristikum der Annäherung der Komponenten einer Summenverteilungsfunktion gegen die Komponenten der Grenzverteilungsfunktion. In der Terminologie der Pseudomomente werden Abschätzungen der Annäherung der Summenverteilungsfunktion gegen eine unbegrenz teilbare Verteilungsfunktion angegeben. Dabei werden die Aussagen ohne die Voraussetzung der sogenannten Infinitesimalitätsbedingung hergeleitet. Es werden Abschätzungen angegeben sowohl unter der Voraussetzung endlicher Streuungen als auch ohne diese Voraussetzung. Abschließend werden einige Literaturhinweise angegeben
The pseudo-moments serve as a characteristic of the approach of the components of a cumulative distribution function to the components of the limit distribution function. In the terminology of pseudo-moments estimates of the approximation of the cumulative distribution function by an indefinite divisible distribution function can be specified. The results are derived without the assumption of the so-called condition of infinitesimality. There are given some estimations with or without the assumption of finite variances. Finally some references are given

Master's thesis deals with the assessment of selected financial indicators of the production company X in order to evaluate its performance and financial situation. Based on the results of the analyzes for the period 2008 to 2015 and the application of statistical methods of time series analysis and regression analysis, prognosis of future development of monitored indicators are obtained. Subsequently, the prognosis are used for the final formulating of proposals to improve future business efficiency of the company.

In diesem Artikel werden notwendige und hinreichende Bedingungen für die Gültigkeit von Grenzwertsätzen für mittlere Abweichungen untersucht. In der Terminilogie von J.V.LINNIK (1971) werden die x-Bereiche für mittlere Abweichungen gewöhnlich als "sehr enge" Zonen der integralen normalen Anziehung bezeichnet. Darüber hinaus werden die Restglieder untersucht, die in den asymptotischen Beziehungen auftreten. Die Ordnung der Konvergenzgeschwindigkeit wird angegeben. Frühere Ergebnisse einiger Autoren werden verallgemeinert. Abschließend werden einige Literaturhinweise angegeben
In this paper we study necessary and sufficient conditions for the validity of limit theorems on moderate deviations. Usually x-zones for moderate deviations are called in the terminilogy by YU.V.LINNIK (1971) "very narrow" zones of integral normal attraction. Moreover we analyse the remainder term appearing in the asymptotic relations. Informations on the order of the rate of convergence are given. Earlier results by several authors are generalized. Finally some references are given

Doctor of Philosophy
This thesis is based on research on financial time series analysis using pattern recognition methods. The first part of this research focuses on univariate time series analysis using different pattern recognition methods. First, probabilities of basic patterns are used to represent the features of a section of time series. This feature can remove noise from the time series by statistical probability. It is experimentally proven that this feature is successful for pattern repeated time series. Second, a multiscale Gaussian gravity as a pattern relationship measurement which can describe the direction of the pattern relationship is introduced to pattern clustering. By searching for the Gaussian-gravity-guided nearest neighbour of each pattern, this clustering method can easily determine the boundaries of the clusters. Third, a method that unsupervised pattern classification can be transformed into multiscale supervised pattern classification by multiscale supervisory time series or multiscale filtered time series is presented. The second part of this research focuses on multivariate time series analysis using pattern recognition. A systematic method is proposed to find the independent variables of a group of share prices by time series clustering, principal component analysis, independent component analysis, and object recognition. The number of dependent variables is reduced and the multivariate time series analysis is simplified by time series clustering and principal component analysis. Independent component analysis aims to find the ideal independent variables of the group of shares. Object recognition is expected to recognize those independent variables which are similar to the independent components. This method provides a new clue to understanding the stock market and to modelling a large time series database.

Mit der vorgelegten Arbeit werden neue Beiträge zur Grundlagenforschung auf dem Gebiet der Grenzwertsätze der Wahrscheinlichkeitstheorie vorgelegt. Grenzwertsätze für Summen unabhängiger Zufallsgrößen nehmen unter den verschiedenartigsten Forschungsrichtungen der Wahrscheinlichkeitstheorie einen bedeutenden Platz ein und sind in der heutigen Zeit nicht mehr allein von theoretischem Interesse. In der Arbeit werden Ergebnisse zu neuere Problemstellungen aus der Summationstheorie unabhängiger Zufallsgrößen vorgestellt, die erstmalig in den fünfziger bzw. sechzger Jahren des 20. Jahrhunderts in der Literatur auftauchten und in den zurückliegenden Jahren mit großem Interesse untersucht wurden. International haben sich in der Theorie der Grenzwertsätze zwei Hauptrichtungen herauskristallisiert: Zum Einen die Fragen zur Konvergenzgeschwindigkeit, mit der eine Summenverteilungsfunktion gegen eine vorgegebene Grenzverteilungsfunktion konvergiert, und zum Anderen die Fragen nach einer Fehlerabschätzung zur Grenzverteilungsfunktion bei einem endlichen Summationsprozeß. Zuerst werden unbegrenz teilbare Grenzverteilungsfunktionen betrachtet und dann wird speziell die Normalverteilung als Grenzverteilung diskutiert. Als charakteristische Kenngrößen werden sowohl Momente oder einseitige Momente bzw. Pseudomomente benutzt. Die Fehlerabschätzungen werden sowohl als gleichmäßige wie auch ungleichmäßige Restgliedabschätzungen angegeben, einschließlich einer Beschreibung der dabei auftretenden absoluten Konstanten. Als Beweismethoden werden sowohl die Methode der charakteristischen Funktionen als auch direkte Methoden (Faltungsmethode) weiter ausgebaut. Für eine 1965 von Bikelis angegebene Fehlerabschätzung gelang es nun erstmalig, die auftretende absolute Konstante C mit C=114,667 numerisch abzuschätzen. Weiterhin werden in der Arbeit sogenannte Grenzwertsätze für mittlere Abweichungen studiert. Hier werden erstmalig auch Restgliedabschätzungen abgeleitet. Der in den letzten Jahren zum Beweis von Grenzwertsätzen eingeschlagene Weg über die Faltung von Verteilungsfunktionen erwies sich als bahnbrechend und bestimmte die Entwicklung sowohl der Theorie der Grenzwertsätze für mittlere und große Abweichungen als auch der Untersuchung zu den ungleichmäßigen Abschätzungen im zentralen Grenzwertsatz bedeutend. Die Faltungsmethode stellt in der vorliegenden Dissertationsschrift das hauptsächliche Beweisinstrument dar. Damit gelang es, eine Reihe neuer Ergebnisse zu erhalten und insbesondere mittels der elektronischen Datenverarbeitung neue numerische Resultate zu erhalten
With the presented work new contributions to basic research in the field of limit theorems of probability theory are given. Limit theorems for sums of independent random variables taking on the most diverse lines of research in probability theory an important place in modern times and are no longer only of theoretical interest. In the work results are presented to newer problems on the summation theory of independent random variables, at first time in the fifties and sixties of the 20th Century appeared in the literature and have been studied in the past few years with great interest. International two main directions have emerged in the theory of limit theorems: Firstly, the questions on the convergence speed of a cumulative distribution function converges to a predetermined limit distribution function, and on the other hand the questions on an error estimate for the limit distribution function at a finite summation process. First indefinite divisible limit distribution functions are considered, then the normal distribution is specifically discussed as a limit distribution. As characteristic parameters both moments or one-sided moments or pseudo-moments are used. The error estimates are stated both in uniform as well as non-uniform residual bounds including a description of the occurring absolute constants. Both the method of characteristic functions as well as direct methods (convolution method) can be further expanded as proof methods. Now for the error estimate, 1965 given by Bikelis, was the first time to estimate the appearing absolute constant C with C = 114.667 numerically. Furthermore, in the work of so-called limit theorems for moderate deviations are studied. Here also remainder estimates are derived for the first time. In recent years to the proof of limit theorems the chosen way of the convolution of distribution functions proved to be groundbreaking and determined the development of both the theory of limit theorems for moderate and large deviations as well as the investigation into the nonuniform estimates in the central limit theorem significantly. The convolution method is in the present thesis, the main instrument of proof. Thus, it was possible to obtain a series of results and obtain new numerical results in particular by means of electronic data processing

En la horticultura intensiva española la mayor parte de las exportaciones procede de los cultivos de invernadero, localizados en Almería, Murcia y Alicante, donde se ha centrado el presente estudio. Actualmente la posición competitiva no presenta amenazas muy graves pero tampoco muestra una etapa creciente. Exportaciones y precios soportan la competencia de otros países del área mediterránea, con los cuales España debe competir en capital y en tecnología elevando el nivel de equipamiento de los invernaderos. Ante unas exigencias de reestructuración de las instalaciones actuales, no aplazables, se plantea la presente tesis con el fin de conocer el estado actual de la tecnología y su evolución y, además, las características de las explotaciones y la actitud de sus titulares respecto a las innovaciones necesarias. Las fuentes de información se han basado en una toma de precios en origen del tomate y pimiento, como principales productos hortícolas, y en una encuesta, realizada en 242 explotaciones, mediante muestreo proporcional estratificado, en las zonas de El Ejido (Almería), Valle del Guadalentín y Campo de Cartagena (Murcia) y Sur de Alicante. El análisis de la información tuvo una primera parte dedicada a los precios, con el cálculo de la tendencia y la estacionalidad y la aplicación de modelos ARIMA. La finalidad ha sido conocer la evolución de las rentas de los productores, efectuar predicciones, y establecer una relación entre los precios y la tecnología adoptable. El tratamiento de los datos de la encuesta con sus resultados comprende la mayor parte del contenido del trabajo. Se aplicó el análisis estadístico univariante a las características estructurales de explotaciones e invernaderos y el bivariante, con contraste de independencia, para determinar relaciones de interés entre los factores que influyen en los procesos de innovación.
García Martínez, MDC. (2009). La adopción de tecnología en los invernaderos hortícolas mediterráneos [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/6472
Palancia

In der Arbeit wird das asymptotische Verhalten von geeignet normierten und zentrierten Summen von Zufallsgrößen untersucht, die entweder unabhängig sind oder im Falle der Abhängigkeit als Martingaldifferenzfolge oder stark multiplikatives System auftreten. Neben der klassischen Summationstheorie werden die Limitierungsverfahren mit einer unendlichen Summationsmatrix oder einer angepaßten Folge von Gewichtsfunktionen betrachtet. Es werden die Methode der charakteristischen Funktionen und besonders die direkte Methode der konjugierten Verteilungsfunktionen weiterentwickelt, um quantitative Aussagen über gleichmäßige und ungleichmäßige Restgliedabschätzungen in zentralen Grenzwertsatz zu beweisen. Die Untersuchungen werden dabei in der Lp-Metrik, 1
In the work the asymptotic behavior of suitably centered and normalized sums of random variables is investigated, which are either independent or occur in the case of dependence as a sequence of martingale differences or a strongly multiplicative system. In addition to the classical theory of summation limiting processes are considered with an infinite summation matrix or an adapted sequence of weighting functions. It will be further developed the method of characteristic functions, and especially the direct method of the conjugate distribution functions to prove quantitative statements about uniform and non-uniform error estimates of the remainder term in central limit theorem. The investigations are realized in the Lp metric, 1

In this thesis we have tackled a few scheduling problems under energy constraint, since the energy issue is becoming crucial, for both economical and environmental reasons. In the first chapter, we exhibit tight bounds on the energy metric of a classical algorithm that minimizes the makespan of independent tasks. In the second chapter, we schedule several independent but concurrent pipelined applications and address problems combining multiple criteria, which are period, latency and energy. We perform an exhaustive complexity study and describe the performance of new heuristics. In the third chapter, we study the replica placement problem in a tree network. We try to minimize the energy consumption in a dynamic frame. After a complexity study, we confirm the quality of our heuristics through a complete set of simulations. In the fourth chapter, we come back to streaming applications, but in the form of series-parallel graphs, and try to map them onto a chip multiprocessor. The design of a polynomial algorithm on a simple problem allows us to derive heuristics on the most general problem, whose NP-completeness has been proven. In the fifth chapter, we study energy bounds of different routing policies in chip multiprocessors, compared to the classical XY routing, and develop new routing heuristics. In the last chapter, we compare the performance of different algorithms of the literature that tackle the problem of mapping DAG applications to minimize the energy consumption.

Cette thèse est rédigée par articles. Les articles sont rédigés en anglais et le reste de la thèse est rédigée en français.
Le travail établit une équivalence en termes de puissance entre les tests basés sur la alpha-distance de covariance et sur le critère d'indépendance de Hilbert-Schmidt (HSIC) avec fonction caractéristique de distribution de probabilité stable d'indice alpha avec paramètre d'échelle suffisamment petit. Des simulations en grandes dimensions montrent la supériorité des tests de distance de covariance et des tests HSIC par rapport à certains tests utilisant les copules. Des simulations montrent également que la distribution de Pearson de type III, très utile et moins connue, approche la distribution exacte de permutation des tests et donne des erreurs de type I précises. Une nouvelle méthode de sélection adaptative des paramètres d'échelle pour les tests HSIC est proposée. Trois simulations, dont deux sont empruntées de l'apprentissage automatique, montrent que la nouvelle méthode de sélection améliore la puissance des tests HSIC. Le problème de tests d'indépendance entre deux vecteurs est généralisé au problème de tests d'indépendance mutuelle entre plusieurs vecteurs. Le travail traite aussi d'un problème très proche à savoir, le test d'indépendance sérielle d'une suite multidimensionnelle stationnaire. La décomposition de Möbius des fonctions caractéristiques est utilisée pour caractériser l'indépendance. Des tests généralisés basés sur le critère d'indépendance de Hilbert-Schmidt et sur la distance de covariance en sont obtenus. Une équivalence est également établie entre le test basé sur la distance de covariance et le test HSIC de noyau caractéristique d'une distribution stable avec des paramètres d'échelle suffisamment petits. La convergence faible du test HSIC est obtenue. Un calcul rapide et précis des valeurs-p des tests développés utilise une distribution de Pearson de type III comme approximation de la distribution exacte des tests. Un résultat fascinant est l'obtention des trois premiers moments exacts de la distribution de permutation des statistiques de dépendance. Une méthodologie similaire a été développée pour le test d'indépendance sérielle d'une suite. Des applications à des données réelles environnementales et financières sont effectuées.
The main result establishes the equivalence in terms of power between the alpha-distance covariance test and the Hilbert-Schmidt independence criterion (HSIC) test with the characteristic kernel of a stable probability distribution of index alpha with sufficiently small scale parameters. Large-scale simulations reveal the superiority of these two tests over other tests based on the empirical independence copula process. They also establish the usefulness of the lesser known Pearson type III approximation to the exact permutation distribution. This approximation yields tests with more accurate type I error rates than the gamma approximation usually used for HSIC, especially when dimensions of the two vectors are large. A new method for scale parameter selection in HSIC tests is proposed which improves power performance in three simulations, two of which are from machine learning. The problem of testing mutual independence between many random vectors is addressed. The closely related problem of testing serial independence of a multivariate stationary sequence is also considered. The Möbius transformation of characteristic functions is used to characterize independence. A generalization to p vectors of the alpha -distance covariance test and the Hilbert-Schmidt independence criterion (HSIC) test with the characteristic kernel of a stable probability distributionof index alpha is obtained. It is shown that an HSIC test with sufficiently small scale parameters is equivalent to an alpha -distance covariance test. Weak convergence of the HSIC test is established. A very fast and accurate computation of p-values uses the Pearson type III approximation which successfully approaches the exact permutation distribution of the tests. This approximation relies on the exact first three moments of the permutation distribution of any test which can be expressed as the sum of all elements of a componentwise product of p doubly-centered matrices. The alpha -distance covariance test and the HSIC test are both of this form. A new selection method is proposed for the scale parameter of the characteristic kernel of the HSIC test. It is shown in a simulation that this adaptive HSIC test has higher power than the alpha-distance covariance test when data are generated from a Student copula. Applications are given to environmental and financial data.

Os aspetos centrais da tese apresentada são o Kosovo e o reconhecimento, por muitos dos vários Estados existentes no mundo, da sua autoproclamação como um Estado. Da controvérsia originada pelas variadas interpretações que, fazendo uso da História, da Geografia e dos aspetos étnico-religiosos, os quais são também analisados neste trabalho, e tendo em consideração o facto de uma parte da Comunidade Internacional ter reconhecido o Kosovo enquanto entidade estatal e inclusive incentivado e apoiado essa autoproclamação, resultou a colocação de algumas questões, uma das quais se tornou principal na análise do tema: Os critérios mobilizados para a justificação da independência do Kosovo enquanto Estado são coerentes e justos? Assim este estudo procura identificar como os Estados Unidos da América e alguns países da União Europeia fomentaram e apoiaram a independência da República do Kosovo e que justificações apresentaram, ou seja, que fatores terão ponderado no seu posicionamento. Também importante é a apreciação das posturas de outros atores com reconhecida influência na evolução da situação e a análise de outras situações análogas à do Kosovo. No final, são apresentadas as consequentes conclusões.
Central to this thesis is Kosovo and the recognition by many of the various states in the world of its self-proclamation as a state. From the controversy arising from the various interpretations that using History, Geography and ethnic-religious aspects, which are also analyzed in this work, and taking into account the fact that a part of the International Community has recognized Kosovo as a state entity and inclusively encouraged and supported this self-proclamation, resulted in a number of issues being raised, one of which became central to the analysis of the topic: Are the criteria, used to justify the independence of Kosovo as a State, coherent and fair? Thus this study seeks to identify how the United States of America and some European Union countries have fostered and supported the independence of the Republic of Kosovo and what justifications have been presented, i.e. what factors have weighed on its positioning. Also important is the appreciation of the positions of other actors with recognized influence on the evolution of the situation and the analysis of other situations similar to that of Kosovo. At the end, the consequent conclusions are presented.

In der Arbeit wird das asymptotische Verhalten von geeignet normierten und zentrierten Summen von Zufallsgrößen untersucht, die entweder unabhängig sind oder im Falle der Abhängigkeit als Martingaldifferenzfolge oder stark multiplikatives System auftreten. Neben der klassischen Summationstheorie werden die Limitierungsverfahren mit einer unendlichen Summationsmatrix oder einer angepaßten Folge von Gewichtsfunktionen betrachtet. Es werden die Methode der charakteristischen Funktionen und besonders die direkte Methode der konjugierten Verteilungsfunktionen weiterentwickelt, um quantitative Aussagen über gleichmäßige und ungleichmäßige Restgliedabschätzungen in zentralen Grenzwertsatz zu beweisen. Die Untersuchungen werden dabei in der Lp-Metrik, 1In the work the asymptotic behavior of suitably centered and normalized sums of random variables is investigated, which are either independent or occur in the case of dependence as a sequence of martingale differences or a strongly multiplicative system. In addition to the classical theory of summation limiting processes are considered with an infinite summation matrix or an adapted sequence of weighting functions. It will be further developed the method of characteristic functions, and especially the direct method of the conjugate distribution functions to prove quantitative statements about uniform and non-uniform error estimates of the remainder term in central limit theorem. The investigations are realized in the Lp metric, 1