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Author: Yu.V. Prokhorov
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 280
ISBN-13: 3662041723
DOWNLOAD EBOOKA 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.
Author: A. V. Balakrishnan
Publisher: Springer
Published: 1985
Total Pages: 0
ISBN-13: 9780387961002
DOWNLOAD EBOOKAuthor: Aleksandr Alekseevich Borovkov
Publisher:
Published: 1985
Total Pages: 328
ISBN-13:
DOWNLOAD EBOOKAuthor: V.V. Petrov
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 360
ISBN-13: 3642658091
DOWNLOAD EBOOKThe classic "Limit Dislribntions fOT slt1ns of Independent Ramdorn Vari ables" by B.V. Gnedenko and A.N. Kolmogorov was published in 1949. Since then the theory of summation of independent variables has devel oped rapidly. Today a summing-up of the studies in this area, and their results, would require many volumes. The monograph by I.A. Ibragi mov and Yu. V. I~innik, "Independent and Stationarily Connected VaTiables", which appeared in 1965, contains an exposition of the contem porary state of the theory of the summation of independent identically distributed random variables. The present book borders on that of Ibragimov and Linnik, sharing only a few common areas. Its main focus is on sums of independent but not necessarily identically distri buted random variables. It nevertheless includes a number of the most recent results relating to sums of independent and identically distributed variables. Together with limit theorems, it presents many probahilistic inequalities for sums of an arbitrary number of independent variables. The last two chapters deal with the laws of large numbers and the law of the iterated logarithm. These questions were not treated in Ibragimov and Linnik; Gnedenko and KolmogoTOv deals only with theorems on the weak law of large numbers. Thus this book may be taken as complementary to the book by Ibragimov and Linnik. I do not, however, assume that the reader is familiar with the latter, nor with the monograph by Gnedenko and Kolmogorov, which has long since become a bibliographical rarity
Author: Roman Vershynin
Publisher: Cambridge University Press
Published: 2018-09-27
Total Pages: 299
ISBN-13: 1108415199
DOWNLOAD EBOOKAn integrated package of powerful probabilistic tools and key applications in modern mathematical data science.
Author: J. R. Blum
Publisher:
Published: 1963
Total Pages: 10
ISBN-13:
DOWNLOAD EBOOKAuthor: B V (Boris Vladimirovich) Gnedenko
Publisher: Hassell Street Press
Published: 2021-09-09
Total Pages: 284
ISBN-13: 9781014649485
DOWNLOAD EBOOKThis work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Achim Klenke
Publisher: Springer Science & Business Media
Published: 2007-12-31
Total Pages: 621
ISBN-13: 1848000480
DOWNLOAD EBOOKAimed primarily at graduate students and researchers, this text is a comprehensive course in modern probability theory and its measure-theoretical foundations. It covers a wide variety of topics, many of which are not usually found in introductory textbooks. The theory is developed rigorously and in a self-contained way, with the chapters on measure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world of probability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation.
Author: Barbara Illowsky
Publisher:
Published: 2023-12-13
Total Pages: 2106
ISBN-13:
DOWNLOAD EBOOKIntroductory 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: Hans Fischer
Publisher: Springer Science & Business Media
Published: 2010-10-08
Total Pages: 415
ISBN-13: 0387878572
DOWNLOAD EBOOKThis 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.
