Download or read book Products of Random Variables written by Janos Galambos and published by CRC Press. This book was released on 2004-07-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book The Product of Two Normally Distributed Random Variables written by William Q. Meeker and published by American Mathematical Soc.. This book was released on 1981 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On Distribution of Products of Random Variables and Their Applications written by Fu-An Cheng and published by . This book was released on 1971 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Useful Methods for the Distributions of Products of Random Variables written by Robert Dwight Bowser and published by . This book was released on 1973 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Algebra of Random Variables written by Melvin Dale Springer and published by John Wiley & Sons. This book was released on 1979 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On Products and Quotients of Random Variables written by Robert S. DeZur and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Free Random Variables written by Dan V. Voiculescu and published by American Mathematical Soc.. This book was released on 1992 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On Distribution of Products of Random Variables and Their Statistical Applications written by Fu-An Cheng and published by . This book was released on 1971 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Products and Quotients of Random Variables written by Bhanumati Balbhadra Das and published by . This book was released on 1967 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability Distributions Involving Gaussian Random Variables written by Marvin K. Simon and published by Springer Science & Business Media. This book was released on 2007-05-24 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook, now available in paperback, brings together a comprehensive collection of mathematical material in one location. It also offers a variety of new results interpreted in a form that is particularly useful to engineers, scientists, and applied mathematicians. The handbook is not specific to fixed research areas, but rather it has a generic flavor that can be applied by anyone working with probabilistic and stochastic analysis and modeling. Classic results are presented in their final form without derivation or discussion, allowing for much material to be condensed into one volume.
Download or read book Sums of Independent Random Variables written by V.V. Petrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Continuous Univariate Distributions Volume 2 written by Norman L. Johnson and published by John Wiley & Sons. This book was released on 1995-05-08 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive reference for statistical distributions Continuous Univariate Distributions, Volume 2 provides in-depth reference for anyone who applies statistical distributions in fields including engineering, business, economics, and the sciences. Covering a range of distributions, both common and uncommon, this book includes guidance toward extreme value, logistics, Laplace, beta, rectangular, noncentral distributions and more. Each distribution is presented individually for ease of reference, with clear explanations of methods of inference, tolerance limits, applications, characterizations, and other important aspects, including reference to other related distributions.
Download or read book The Distribution of Products of Some Independent Non standardized Random Variables written by James Marstan Pruett and published by . This book was released on 1972 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Distribution of Products and Quotients of Dependent Random Variables written by Roger Trudel and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Statistics Theory and Applications written by Indranil Ghosh and published by Springer Nature. This book was released on 2021-04-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection brings together internationally recognized experts in a range of areas of statistical science to honor the contributions of the distinguished statistician, Barry C. Arnold. A pioneering scholar and professor of statistics at the University of California, Riverside, Dr. Arnold has made exceptional advancements in different areas of probability, statistics, and biostatistics, especially in the areas of distribution theory, order statistics, and statistical inference. As a tribute to his work, this book presents novel developments in the field, as well as practical applications and potential future directions in research and industry. It will be of interest to graduate students and researchers in probability, statistics, and biostatistics, as well as practitioners and technicians in the social sciences, economics, engineering, and medical sciences.
Download or read book Probability Random Variables and Random Processes written by John J. Shynk and published by John Wiley & Sons. This book was released on 2012-10-15 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability, Random Variables, and Random Processes is a comprehensive textbook on probability theory for engineers that provides a more rigorous mathematical framework than is usually encountered in undergraduate courses. It is intended for first-year graduate students who have some familiarity with probability and random variables, though not necessarily of random processes and systems that operate on random signals. It is also appropriate for advanced undergraduate students who have a strong mathematical background. The book has the following features: Several appendices include related material on integration, important inequalities and identities, frequency-domain transforms, and linear algebra. These topics have been included so that the book is relatively self-contained. One appendix contains an extensive summary of 33 random variables and their properties such as moments, characteristic functions, and entropy. Unlike most books on probability, numerous figures have been included to clarify and expand upon important points. Over 600 illustrations and MATLAB plots have been designed to reinforce the material and illustrate the various characterizations and properties of random quantities. Sufficient statistics are covered in detail, as is their connection to parameter estimation techniques. These include classical Bayesian estimation and several optimality criteria: mean-square error, mean-absolute error, maximum likelihood, method of moments, and least squares. The last four chapters provide an introduction to several topics usually studied in subsequent engineering courses: communication systems and information theory; optimal filtering (Wiener and Kalman); adaptive filtering (FIR and IIR); and antenna beamforming, channel equalization, and direction finding. This material is available electronically at the companion website. Probability, Random Variables, and Random Processes is the only textbook on probability for engineers that includes relevant background material, provides extensive summaries of key results, and extends various statistical techniques to a range of applications in signal processing.
Download or read book On the Distribution of a Product of Two Random Variables written by and published by . This book was released on 1971 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let W=UV where U and V are independent random variables. It is shown that if V is distributed according to the non-central Chi-square distribution, then W is distributed according to the Chi-square distribution if and only if U=1 with probability 1. If V is normally distributed, it is shown that W is normally distributed if and only if the distribution of U is a two-point distribution.
