Conditional Lindeberg Central Limit Theorem For Strong Lattice Martingales
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Conditional Lindeberg Central Limit Theorem For Strong Lattice Martingales
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Author : Illig Aude
language : en
Publisher:
Release Date : 2018
Conditional Lindeberg Central Limit Theorem For Strong Lattice Martingales written by Illig Aude and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Strong lattice martingale arrays over Z are considered under the form of set-indexed processes and a central limit theorem is established under conditional Lindeberg condition, after having extended the limit theorem in Tjostheim (1983) to spatial processes that are nearly lattice martingales.
A History Of The Central Limit Theorem
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Author : Hans Fischer
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-08
A History Of The Central Limit Theorem written by Hans Fischer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-08 with Mathematics categories.
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.
The Central Limit Theorem And Poincare Type Inequalities
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Author : Louis H. Y. Chen
language : en
Publisher:
Release Date : 1986
The Central Limit Theorem And Poincare Type Inequalities written by Louis H. Y. Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
We use Poincare type inequalities to prove the sufficiency and necessity of the Lindeberg condition in the central limit theorem. The central limit theorem is a fundamental theorem in probability and statistics. It states that the probability distribution of the sum of a large number of small and mutually independent random numerical observations approaches a normal distribution as the number of observations increases. The Lindeberg condition is a condition for which the central limit theorem holds. It has been proved to be both necessary and sufficient. A Poincare type inequality is an inequality which relates the integral of the square of a function to the integral of the square of its derivative. In this report we give a new proof of the central limit theorem by using Poincare type inequalities to prove both the necessity and sufficiency of the Lindeberg condition.
Probability Theory
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Author : R.G. Laha
language : en
Publisher: Courier Dover Publications
Release Date : 2020-05-21
Probability Theory written by R.G. Laha and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-21 with Mathematics categories.
This comprehensive presentation of the basic concepts of probability theory examines both classical and modern methods. The treatment emphasizes the relationship between probability theory and mathematical analysis, and it stresses applications to statistics as well as to analysis. Topics include: • The laws of large numbers • Distribution and characteristic functions • The central limit problem • Dependence • Random variables taking values in a normed linear space Each chapter features worked examples in addition to problems, and bibliographical references to supplementary reading material enhance the text. For advanced undergraduates and graduate students in mathematics.
Probability
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Author : Allan Gut
language : en
Publisher: Springer Science & Business Media
Release Date : 2013
Probability written by Allan Gut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
Like its predecessor, this book starts from the premise that, rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by a thorough treatment of the three main subjects in probability theory: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales. The new edition is comprehensively updated, including some new material as well as around a dozen new references.
Measure Theory
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Author : D. H. Fremlin
language : en
Publisher: Torres Fremlin
Release Date : 2000
Measure Theory written by D. H. Fremlin and has been published by Torres Fremlin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Fourier analysis categories.
Challenges In Computational Statistics And Data Mining
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Author : Stan Matwin
language : en
Publisher: Springer
Release Date : 2015-07-07
Challenges In Computational Statistics And Data Mining written by Stan Matwin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-07 with Technology & Engineering categories.
This volume contains nineteen research papers belonging to the areas of computational statistics, data mining, and their applications. Those papers, all written specifically for this volume, are their authors’ contributions to honour and celebrate Professor Jacek Koronacki on the occcasion of his 70th birthday. The book’s related and often interconnected topics, represent Jacek Koronacki’s research interests and their evolution. They also clearly indicate how close the areas of computational statistics and data mining are.
Probability
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Author : Rick Durrett
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-30
Probability written by Rick Durrett and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-30 with Mathematics categories.
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.
A Course In Probability Theory
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Author : Kai Lai Chung
language : en
Publisher: Academic Press
Release Date : 2014-06-28
A Course In Probability Theory written by Kai Lai Chung and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This book contains about 500 exercises consisting mostly of special cases and examples, second thoughts and alternative arguments, natural extensions, and some novel departures. With a few obvious exceptions they are neither profound nor trivial, and hints and comments are appended to many of them. If they tend to be somewhat inbred, at least they are relevant to the text and should help in its digestion. As a bold venture I have marked a few of them with a * to indicate a "must", although no rigid standard of selection has been used. Some of these are needed in the book, but in any case the reader's study of the text will be more complete after he has tried at least those problems.
Probability Theory Subject Indexes From Mathematical Reviews
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1987
Probability Theory Subject Indexes From Mathematical Reviews written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.