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Author: Janos Galambos
Publisher: CRC Press
Published: 2004-07-20
Total Pages: 338
ISBN-13: 1482276631
DOWNLOAD EBOOK →Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory. It uses entirely probabilistic arguments in actualizing the potential of the asymptotic theory of products of independent random variab
Author: William Q. Meeker
Publisher: American Mathematical Soc.
Published: 1981
Total Pages: 272
ISBN-13: 9780821819074
DOWNLOAD EBOOK →Author: Melvin Dale Springer
Publisher: John Wiley & Sons
Published: 1979
Total Pages: 510
ISBN-13:
DOWNLOAD EBOOK →Differentiation and integration in the complex plane; The distribution of sums and differences of Random variables; The distribution of products and quotients of Random variables; The distribution of algebraic functions of independent Random variables; The distribution of algebraic functions of independent H-function variables; Analytical model for evaluation of the H-function inversion integral; Approximating the distribution of an algebraic function of independent random variables; Distribution problems in statistics.
Author: Robert S. DeZur
Publisher:
Published: 1965
Total Pages: 0
ISBN-13:
DOWNLOAD EBOOK →This report, prepared in two parts, deals with products and quotients of random variables. In Part I, the distributions of quotients of independent random variables are considered. In Part II, the distribution of the product of two (not necessarily independent) normally distributed random variates is investigated. The tables of this distribution are given in the Appendix. (Author).
Author: Dan V. Voiculescu
Publisher: American Mathematical Soc.
Published: 1992
Total Pages: 80
ISBN-13: 0821811401
DOWNLOAD EBOOK →This book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the asymptotic behavior of large Gaussian random matrices. The probabilistic approach to free products has led to a recent surge of new results on the von Neumann algebras of free groups. The book is ideally suited as a textbook for an advanced graduate course and could also provide material for a seminar. In addition to researchers and graduate students in mathematics, this book will be of interest to physicists and others who use random matrices.
Author: Bhanumati Balbhadra Das
Publisher:
Published: 1967
Total Pages: 204
ISBN-13:
DOWNLOAD EBOOK →Author: V.V. Petrov
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 360
ISBN-13: 3642658091
DOWNLOAD EBOOK →The 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
