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Author : Denis Bosq
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.E/5 ( download)
Download or read book Théorie de l'estimation fonctionnelle written by Denis Bosq and published by . This book was released on 1987 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Denis Bosq
Publisher :
ISBN 13 :
Total Pages : 177 pages
Book Rating : 4.:/5 (251 download)
Download or read book Contribution à la théorie de l'estimation fonctionnelle written by Denis Bosq and published by . This book was released on 1971 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G.G Roussas
Publisher : Springer Science & Business Media
ISBN 13 : 9401132224
Total Pages : 691 pages
Book Rating : 4.4/5 (11 download)
Download or read book Nonparametric Functional Estimation and Related Topics written by G.G Roussas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: About three years ago, an idea was discussed among some colleagues in the Division of Statistics at the University of California, Davis, as to the possibility of holding an international conference, focusing exclusively on nonparametric curve estimation. The fruition of this idea came about with the enthusiastic support of this project by Luc Devroye of McGill University, Canada, and Peter Robinson of the London School of Economics, UK. The response of colleagues, contacted to ascertain interest in participation in such a conference, was gratifying and made the effort involved worthwhile. Devroye and Robinson, together with this editor and George Metakides of the University of Patras, Greece and of the European Economic Communities, Brussels, formed the International Organizing Committee for a two week long Advanced Study Institute (ASI) sponsored by the Scientific Affairs Division of the North Atlantic Treaty Organization (NATO). The ASI was held on the Greek Island of Spetses between July 29 and August 10, 1990. Nonparametric functional estimation is a central topic in statistics, with applications in numerous substantive fields in mathematics, natural and social sciences, engineering and medicine. While there has been interest in nonparametric functional estimation for many years, this has grown of late, owing to increasing availability of large data sets and the ability to process them by means of improved computing facilities, along with the ability to display the results by means of sophisticated graphical procedures.
Author : Costin Protopopescu
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (49 download)
Download or read book Estimation fonctionnelle des modèles issus de la théorie des jeux written by Costin Protopopescu and published by . This book was released on 1998 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this thesis consists in the estimation of some functional parameters of interest in the context of unobservable variables. This common situation can be encountered in the asymmetry of information literature. The observable variables are supposed to be a function of the latent variables and their distribution. Consequently, specific problems have to be analyzed carefully: the identification, the estimation and the statistical properties of the estimators. In order to solve completely these aspects, the classical statistical techniques need to be enriched with some tools considered nonstandard in the econometric theory. In particular, we will refer to functional analysis and also to the differential theory of operators. This thesis gathers four papers, of which principal motivations are the statistical analysis of a class of stochastic game theoretic models under the hypothesis of incomplete information. This general framework applies to a broad range of classical models: auctions, oligopoly, optimal pricing, firms' regulation and some problems in finance. Several methods based either on parametric or nonparametric estimation are proposed (structural, indirect, minimum divergence...), with or without exogenous variables. A new concept is introduced (the statistical order of a game), which plays a central role in the identification of the parameters of interest. In the fourth paper, an algorithm based on the homotopy is proposed as a numerical solution to the indirect functional estimation.
Author : Philippe Vieu
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (489 download)
Download or read book Contributions à l'estimation fonctionnelle written by Philippe Vieu and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: CE TRAVAIL ABORDE LES PROBLEMES D'ESTIMATION NON PARAMETRIQUE DE PLUSIEURS FONCTIONS (REGRESSION, AUTOREGRESSION, DENSITE, FONCTION DE HASARD ET FONCTION DE REPARTITION) LORSQUE LES VARIABLES ALEATOIRES CONSTITUANT L'ECHANTILLON DE BASE NE SONT PAS NECESSAIREMENT INDEPENDANTES. LE PROBLEME DE L'ESTIMATION D'UNE FONCTION DE REGRESSION A ETE PLUS PARTICULIEREMENT ETUDIE. DES PROPRIETES DE CONVERGENCE UNIFORME DES ESTIMATEURS A NOYAU DE LA REGRESSION SONT ETABLIES. CES PROPRIETES SONT LIEES AU COMPORTEMENT ASYMPTOTIQUE D'UN PARAMETRE DE LISSAGE INTERVENANT DANS LA STRUCTURE DE L'ESTIMATEUR. LE ROLE DE CE PARAMETRE ETANT PREPONDERANT DANS LA QUALITE DE L'ESTIMATEUR, SON CHOIX SERA DETERMINANT LORS D'APPLICATIONS PRATIQUES. UNE METHODE DE SELECTION DE CE PARAMETRE, BASEE SUR LES TECHNIQUES DE VALIDATION CROISEE, EST INTRODUITE. APRES UN PREMIER RESULTAT DE CONVERGENCE, L'OPTIMALITE ASYMPTOTIQUE DE CETTE METHODE EST ETABLIE. LE FAIT QUE CES RESULTATS EN ESTIMATION DE LA REGRESSION SOIENT, POUR LA PLUPART, ETABLIS SOUS UNE HYPOTHESE DE DEPENDANCE SUR LES OBSERVATIONS, LES REND DIRECTEMENT APPLICABLES AU PROBLEME DE L'ESTIMATION DE LA FONCTION D'AUTOREGRESSION D'UN PROCESSUS MARKOVIEN SUFFISAMMENT REGULIER. PARALLELEMENT, LE PROBLEME DE L'ESTIMATION NON PARAMETRIQUE D'UNE FONCTION DE HASARD A ETE ETUDIE. APRES UNE REVUE BIBLIOGRAPHIQUE DES DIVERS ESTIMATEURS NON PARAMETRIQUES EXISTANT, DES RESULTATS DE CONVERGENCE SONT DONNES POUR DEUX CLASSES D'ESTIMATEURS. LES VITESSES DE CONVERGENCE DES ESTIMATEURS A NOYAU SONT PRECISEES ET LEUR LIEN AVEC LA STRUCTURE DE DEPENDANCE INTRODUITE SUR L'ECHANTILLON EST MIS EN EVIDENCE. DES RESULTATS CONCERNANT L'ESTIMATION D'UNE DENSITE ET D'UNE FONCTION DE REPARTITION SONT ETABLIS AU COURS DE L'ETUDE DE LA FONCTION DE HASARD
Author : Roudolf Iasnogorodski
Publisher :
ISBN 13 : 9782868836793
Total Pages : 352 pages
Book Rating : 4.8/5 (367 download)
Download or read book Théorie de l'estimation ponctuelle paramétrique written by Roudolf Iasnogorodski and published by . This book was released on 2003 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les statistiques sont une branche des mathématiques qui allient les résultats abstraits et les applications pratiques. Toute observation expérimentale s'exprime sous forme de données numériques ou qualitatives, dont il faut ensuite extraire un maximum d'informations. Pour de nombreux modèles, la Théorie de l'estimation ponctuelle paramétrique permet de le faire, au moyen d'outils de calculs directs. Le présent ouvrage trace un portrait complet de cette théorie pour l'étudiant de deuxième ou troisième cycle en mathématiques. La démarche adoptée s'est voulue originale et intuitive, fondée sur de nombreux exemples et relayée par une rigueur des :énoncés et des démonstrations ; ces dernières sont rédigées en détail. Une large place est consacrée aux modèles différentiables en moyenne quadratique, qui jouent un rôle fondamental en estimation. La théorie asymptotique est abordée du point de vue historique, rendant ainsi I'introduction de certains concepts plus naturelle. Enfin, les modèles localement asymptotiquement normaux sont traités en détail, avec des résultats peu répandus dans les livres classiques.
Author : Emmanuel Duflos
Publisher : Editions TECHNIP
ISBN 13 : 9782710807742
Total Pages : 182 pages
Book Rating : 4.8/5 (77 download)
Download or read book Estimation prédiction written by Emmanuel Duflos and published by Editions TECHNIP. This book was released on 2000 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alain Berlinet
Publisher : Springer Science & Business Media
ISBN 13 : 1441990968
Total Pages : 369 pages
Book Rating : 4.4/5 (419 download)
Download or read book Reproducing Kernel Hilbert Spaces in Probability and Statistics written by Alain Berlinet and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers theoretical questions including the latest extension of the formalism, and computational issues and focuses on some of the more fruitful and promising applications, including statistical signal processing, nonparametric curve estimation, random measures, limit theorems, learning theory and some applications at the fringe between Statistics and Approximation Theory. It is geared to graduate students in Statistics, Mathematics or Engineering, or to scientists with an equivalent level.
Author : Eric Charpentier
Publisher : Springer Science & Business Media
ISBN 13 : 3540363513
Total Pages : 326 pages
Book Rating : 4.5/5 (43 download)
Download or read book Kolmogorov's Heritage in Mathematics written by Eric Charpentier and published by Springer Science & Business Media. This book was released on 2007-09-13 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, several world experts present (one part of) the mathematical heritage of Kolmogorov. Each chapter treats one of his research themes or a subject invented as a consequence of his discoveries. The authors present his contributions, his methods, the perspectives he opened to us, and the way in which this research has evolved up to now. Coverage also includes examples of recent applications and a presentation of the modern prospects.
Author : J.P. Florens
Publisher : Springer Science & Business Media
ISBN 13 : 1461255031
Total Pages : 216 pages
Book Rating : 4.4/5 (612 download)
Download or read book Specifying Statistical Models written by J.P. Florens and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decades. the evolution of theoretical statistics has been marked by a considerable expansion of the number of mathematically and computationaly trac table models. Faced with this inflation. applied statisticians feel more and more un comfortable: they are often hesitant about their traditional (typically parametric) assumptions. such as normal and i. i. d . • ARMA forms for time-series. etc . • but are at the same time afraid of venturing into the jungle of less familiar models. The prob lem of the justification for taking up one model rather than another one is thus a crucial one. and can take different forms. (a) ~~~£ifi~~~iQ~ : Do observations suggest the use of a different model from the one initially proposed (e. g. one which takes account of outliers). or do they render plau sible a choice from among different proposed models (e. g. fixing or not the value of a certai n parameter) ? (b) tlQ~~L~~l!rQ1!iIMHQ~ : How is it possible to compute a "distance" between a given model and a less (or more) sophisticated one. and what is the technical meaning of such a "distance" ? (c) BQe~~~~~~ : To what extent do the qualities of a procedure. well adapted to a "small" model. deteriorate when this model is replaced by a more general one? This question can be considered not only. as usual. in a parametric framework (contamina tion) or in the extension from parametriC to non parametric models but also.
Author : I.R. Goodman
Publisher : Springer Science & Business Media
ISBN 13 : 9401589291
Total Pages : 503 pages
Book Rating : 4.4/5 (15 download)
Download or read book Mathematics of Data Fusion written by I.R. Goodman and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data fusion or information fusion are names which have been primarily assigned to military-oriented problems. In military applications, typical data fusion problems are: multisensor, multitarget detection, object identification, tracking, threat assessment, mission assessment and mission planning, among many others. However, it is clear that the basic underlying concepts underlying such fusion procedures can often be used in nonmilitary applications as well. The purpose of this book is twofold: First, to point out present gaps in the way data fusion problems are conceptually treated. Second, to address this issue by exhibiting mathematical tools which treat combination of evidence in the presence of uncertainty in a more systematic and comprehensive way. These techniques are based essentially on two novel ideas relating to probability theory: the newly developed fields of random set theory and conditional and relational event algebra. This volume is intended to be both an update on research progress on data fusion and an introduction to potentially powerful new techniques: fuzzy logic, random set theory, and conditional and relational event algebra. Audience: This volume can be used as a reference book for researchers and practitioners in data fusion or expert systems theory, or for graduate students as text for a research seminar or graduate level course.
Author : Christian P. Robert
Publisher : Springer Science & Business Media
ISBN 13 : 1475743149
Total Pages : 444 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Bayesian Choice written by Christian P. Robert and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook covers both the basic ideas of statistical theory, and also some of the more modern and advanced topics of Bayesian statistics, such as complete class theorems, the Stein effect, hierarchical and empirical Bayes modelling, Monte Carlo integration, and Gibbs sampling. In translating the book from the original French, the author has taken the opportunity to add and update material, and to include many problems and exercises for students.
Author : László Györfi
Publisher : Springer Science & Business Media
ISBN 13 : 0387224424
Total Pages : 662 pages
Book Rating : 4.3/5 (872 download)
Download or read book A Distribution-Free Theory of Nonparametric Regression written by László Györfi and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic in-depth analysis of nonparametric regression with random design. It covers almost all known estimates. The emphasis is on distribution-free properties of the estimates.
Author : A.P. Korostelev
Publisher : Springer Science & Business Media
ISBN 13 : 1461227127
Total Pages : 272 pages
Book Rating : 4.4/5 (612 download)
Download or read book Minimax Theory of Image Reconstruction written by A.P. Korostelev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: There exists a large variety of image reconstruction methods proposed by different authors (see e. g. Pratt (1978), Rosenfeld and Kak (1982), Marr (1982)). Selection of an appropriate method for a specific problem in image analysis has been always considered as an art. How to find the image reconstruction method which is optimal in some sense? In this book we give an answer to this question using the asymptotic minimax approach in the spirit of Ibragimov and Khasminskii (1980a,b, 1981, 1982), Bretagnolle and Huber (1979), Stone (1980, 1982). We assume that the image belongs to a certain functional class and we find the image estimators that achieve the best order of accuracy for the worst images in the class. This concept of optimality is rather rough since only the order of accuracy is optimized. However, it is useful for comparing various image reconstruction methods. For example, we show that some popular methods such as simple linewise processing and linear estimation are not optimal for images with sharp edges. Note that discontinuity of images is an important specific feature appearing in most practical situations where one has to distinguish between the "image domain" and the "background" . The approach of this book is based on generalization of nonparametric regression and nonparametric change-point techniques. We discuss these two basic problems in Chapter 1. Chapter 2 is devoted to minimax lower bounds for arbitrary estimators in general statistical models.
Author : J.P. Raoult
Publisher : Springer
ISBN 13 : 3540383182
Total Pages : 184 pages
Book Rating : 4.5/5 (43 download)
Download or read book Statistique non Parametrique Asymptotique written by J.P. Raoult and published by Springer. This book was released on 2006-11-14 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Denis Bosq
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.:/5 (781 download)
Download or read book Théorie de l'estimation fonctionelle written by Denis Bosq and published by . This book was released on 1987 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Denis Bosq
Publisher : John Wiley & Sons
ISBN 13 : 1118586271
Total Pages : 218 pages
Book Rating : 4.1/5 (185 download)
Download or read book Mathematical Statistics and Stochastic Processes written by Denis Bosq and published by John Wiley & Sons. This book was released on 2013-02-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally, books on mathematical statistics are restricted to the case of independent identically distributed random variables. In this book however, both this case AND the case of dependent variables, i.e. statistics for discrete and continuous time processes, are studied. This second case is very important for today’s practitioners. Mathematical Statistics and Stochastic Processes is based on decision theory and asymptotic statistics and contains up-to-date information on the relevant topics of theory of probability, estimation, confidence intervals, non-parametric statistics and robustness, second-order processes in discrete and continuous time and diffusion processes, statistics for discrete and continuous time processes, statistical prediction, and complements in probability. This book is aimed at students studying courses on probability with an emphasis on measure theory and for all practitioners who apply and use statistics and probability on a daily basis.
