Mixing Sequences Of Random Variables And Probabilistic Number Theory
DOWNLOAD
Download Mixing Sequences Of Random Variables And Probabilistic Number Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Mixing Sequences Of Random Variables And Probabilistic Number Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Mixing Sequences Of Random Variables And Probabilistic Number Theory
DOWNLOAD
Author : Walter Philipp
language : en
Publisher: American Mathematical Soc.
Release Date : 1971
Mixing Sequences Of Random Variables And Probabilistic Number Theory written by Walter Philipp and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Additive functions categories.
The author gives a solution to the central limit problem and proves several forms of the iterated logarithm theorem and the results are then applied to the following branches of number theory: limit theorems for continued fractions and related algorithms; limit theorems in Diophantine approximations; discrepancies of sequences uniformly distributed mod one and the distribution of additive functions. In addition to new results, the major contribution of the work is the unification of the listed branches of probabilistic number theory. In particular, this is the first time that the distribution theory of additive functions has been related to metric number theory.
Mixing Sequences Of Random Variables And Probabilistic Number Theory
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1971-01-30
Mixing Sequences Of Random Variables And Probabilistic Number Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-30 with categories.
Limit Theory For Mixing Dependent Random Variables
DOWNLOAD
Author : Lin Zhengyan
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-07-31
Limit Theory For Mixing Dependent Random Variables written by Lin Zhengyan 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 1997-07-31 with Mathematics categories.
For many practical problems, observations are not independent. In this book, limit behaviour of an important kind of dependent random variables, the so-called mixing random variables, is studied. Many profound results are given, which cover recent developments in this subject, such as basic properties of mixing variables, powerful probability and moment inequalities, weak convergence and strong convergence (approximation), limit behaviour of some statistics with a mixing sample, and many useful tools are provided. Audience: This volume will be of interest to researchers and graduate students in the field of probability and statistics, whose work involves dependent data (variables).
Dependence In Probability And Statistics
DOWNLOAD
Author : Murad Taqqu
language : de
Publisher: Springer-Verlag
Release Date : 2019-06-12
Dependence In Probability And Statistics written by Murad Taqqu and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-12 with Mathematics categories.
Limit Theorems Of Probability Theory
DOWNLOAD
Author : Yu.V. Prokhorov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Limit Theorems Of Probability Theory written by Yu.V. Prokhorov 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 2013-03-14 with Mathematics categories.
A collection of research level surveys on certain topics in probability theory by a well-known group of researchers. The book will be of interest to graduate students and researchers.
Mixed Sequences Of Random Variables And Probabilistic Number Theory
DOWNLOAD
Author : Walter Philipp
language : en
Publisher:
Release Date : 1971
Mixed Sequences Of Random Variables And Probabilistic Number Theory written by Walter Philipp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Mixing
DOWNLOAD
Author : Paul Doukhan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mixing written by Paul Doukhan 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 2012-12-06 with Mathematics categories.
Mixing is concerned with the analysis of dependence between sigma-fields defined on the same underlying probability space. It provides an important tool of analysis for random fields, Markov processes, central limit theorems as well as being a topic of current research interest in its own right. The aim of this monograph is to provide a study of applications of dependence in probability and statistics. It is divided in two parts, the first covering the definitions and probabilistic properties of mixing theory. The second part describes mixing properties of classical processes and random fields as well as providing a detailed study of linear and Gaussian fields. Consequently, this book will provide statisticians dealing with problems involving weak dependence properties with a powerful tool.
Limit Theorems For Sums Of Exchangeable Random Variables
DOWNLOAD
Author : Robert Lee Taylor
language : en
Publisher: Rowman & Littlefield Publishers
Release Date : 1985
Limit Theorems For Sums Of Exchangeable Random Variables written by Robert Lee Taylor and has been published by Rowman & Littlefield Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
To find more information about Rowman and Littlefield titles, please visit www.rowmanlittlefield.com.
Probability Inequalities
DOWNLOAD
Author : Zhengyan Lin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-05-30
Probability Inequalities written by Zhengyan Lin 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 2011-05-30 with Mathematics categories.
Inequality has become an essential tool in many areas of mathematical research, for example in probability and statistics where it is frequently used in the proofs. "Probability Inequalities" covers inequalities related with events, distribution functions, characteristic functions, moments and random variables (elements) and their sum. The book shall serve as a useful tool and reference for scientists in the areas of probability and statistics, and applied mathematics. Prof. Zhengyan Lin is a fellow of the Institute of Mathematical Statistics and currently a professor at Zhejiang University, Hangzhou, China. He is the prize winner of National Natural Science Award of China in 1997. Prof. Zhidong Bai is a fellow of TWAS and the Institute of Mathematical Statistics; he is a professor at the National University of Singapore and Northeast Normal University, Changchun, China.
Probabilistic Number Theory I
DOWNLOAD
Author : P.D.T.A. Elliott
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probabilistic Number Theory I written by P.D.T.A. Elliott 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 2012-12-06 with Mathematics categories.
In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a (= 00) a la Zahlen aus zwei Factoren lla· a la (warsch.) aus 3 Factoren 1 (lla)2a -- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2 ... Then his assertions amount to the asymptotic estimate x (log log X)k-l () 1tk X '"--"';"'-"--"::--:-'-, - (x-..oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G.H. Hardy