Author : R. M. Dudley
Publisher : Cambridge University Press
Page : 452 pages
File Size : 14,35 MB
Release : 1999-07-28
Category : Mathematics
ISBN : 0521461022
This treatise by an acknowledged expert includes several topics not found in any previous book.
Author : R. M. Dudley
Publisher : Cambridge University Press
Page : 485 pages
File Size : 42,48 MB
Release : 2014-02-24
Category : Mathematics
ISBN : 0521498848
This expanded edition of the classic work on empirical processes now boasts several new proved theorems not in the first.
Author : Barbara Illowsky
Publisher :
Page : 2106 pages
File Size : 38,5 MB
Release : 2023-12-13
Category : Mathematics
ISBN :
Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License.
Author : Oliver Thomas Johnson
Publisher : World Scientific
Page : 224 pages
File Size : 31,3 MB
Release : 2004
Category : Mathematics
ISBN : 1860944736
This book provides a comprehensive description of a new method of proving the central limit theorem, through the use of apparently unrelated results from information theory. It gives a basic introduction to the concepts of entropy and Fisher information, and collects together standard results concerning their behaviour. It brings together results from a number of research papers as well as unpublished material, showing how the techniques can give a unified view of limit theorems.
Author : R. M. Dudley
Publisher :
Page : 482 pages
File Size : 26,96 MB
Release : 2014
Category : Central limit theorem
ISBN : 9781107720220
Author : Hans Fischer
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 49,66 MB
Release : 2010-10-08
Category : Mathematics
ISBN : 0387878572
This study discusses the history of the central limit theorem and related probabilistic limit theorems from about 1810 through 1950. In this context the book also describes the historical development of analytical probability theory and its tools, such as characteristic functions or moments. The central limit theorem was originally deduced by Laplace as a statement about approximations for the distributions of sums of independent random variables within the framework of classical probability, which focused upon specific problems and applications. Making this theorem an autonomous mathematical object was very important for the development of modern probability theory.
Author : D. Pollard
Publisher : David Pollard
Page : 223 pages
File Size : 11,89 MB
Release : 1984-10-08
Category : Mathematics
ISBN : 0387909907
Functionals on stochastic processes; Uniform convergence of empirical measures; Convergence in distribution in euclidean spaces; Convergence in distribution in metric spaces; The uniform metric on space of cadlag functions; The skorohod metric on D [0, oo); Central limit teorems; Martingales.
Author : Emmanuel Rio
Publisher : Springer
Page : 211 pages
File Size : 42,24 MB
Release : 2017-04-13
Category : Mathematics
ISBN : 3662543230
Ces notes sont consacrées aux inégalités et aux théorèmes limites classiques pour les suites de variables aléatoires absolument régulières ou fortement mélangeantes au sens de Rosenblatt. Le but poursuivi est de donner des outils techniques pour l'étude des processus faiblement dépendants aux statisticiens ou aux probabilistes travaillant sur ces processus.
Author : Rick Durrett
Publisher : Cambridge University Press
Page : pages
File Size : 43,99 MB
Release : 2010-08-30
Category : Mathematics
ISBN : 113949113X
This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.
Author : K. R. Parthasarathy
Publisher : Academic Press
Page : 289 pages
File Size : 44,86 MB
Release : 2014-07-03
Category : Mathematics
ISBN : 1483225259
Probability Measures on Metric Spaces presents the general theory of probability measures in abstract metric spaces. This book deals with complete separable metric groups, locally impact abelian groups, Hilbert spaces, and the spaces of continuous functions. Organized into seven chapters, this book begins with an overview of isomorphism theorem, which states that two Borel subsets of complete separable metric spaces are isomorphic if and only if they have the same cardinality. This text then deals with properties such as tightness, regularity, and perfectness of measures defined on metric spaces. Other chapters consider the arithmetic of probability distributions in topological groups. This book discusses as well the proofs of the classical extension theorems and existence of conditional and regular conditional probabilities in standard Borel spaces. The final chapter deals with the compactness criteria for sets of probability measures and their applications to testing statistical hypotheses. This book is a valuable resource for statisticians.
