Characterizations of Probability Distributions.
Author : Janos Galambos
Publisher : Springer
Page : 177 pages
File Size : 26,71 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540357335
Author : Janos Galambos
Publisher : Springer
Page : 177 pages
File Size : 26,71 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540357335
Author : Bozzano G Luisa
Publisher : Academic Press
Page : 271 pages
File Size : 38,26 MB
Release : 2012-09-18
Category : Mathematics
ISBN : 0128015268
The problem of identifiability is basic to all statistical methods and data analysis, occurring in such diverse areas as Reliability Theory, Survival Analysis, and Econometrics, where stochastic modeling is widely used. Mathematics dealing with identifiability per se is closely related to the so-called branch of "characterization problems" in Probability Theory. This book brings together relevant material on identifiability as it occurs in these diverse fields.
Author : Ramesh Chandra Gupta
Publisher :
Page : 597 pages
File Size : 10,36 MB
Release : 2004
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Publisher :
Page : pages
File Size : 25,10 MB
Release : 2004
Category :
ISBN :
Author : A.V. Kakosyan
Publisher : Springer
Page : 180 pages
File Size : 27,48 MB
Release : 2007-01-05
Category : Mathematics
ISBN : 3540390502
Author : Mohammad Ahsanullah
Publisher : Springer
Page : 130 pages
File Size : 49,42 MB
Release : 2017-04-18
Category : Mathematics
ISBN : 9462391394
Provides in an organized manner characterizations of univariate probability distributions with many new results published in this area since the 1978 work of Golambos & Kotz "Characterizations of Probability Distributions" (Springer), together with applications of the theory in model fitting and predictions.
Author : Gennadiy Feldman
Publisher : American Mathematical Society
Page : 253 pages
File Size : 48,47 MB
Release : 2023-04-07
Category : Mathematics
ISBN : 1470472953
It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical example of a so-called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions of these random variables. The first results in this area are associated with famous 20th century mathematicians such as G. Pólya, M. Kac, S. N. Bernstein, and Yu. V. Linnik. By now, the corresponding theory on the real line has basically been constructed. The problem of extending the classical characterization theorems to various algebraic structures has been actively studied in recent decades. The purpose of this book is to provide a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups.
Author : Mohd. Jahangir Sabbir Khan
Publisher :
Page : 120 pages
File Size : 21,38 MB
Release : 2016-11-10
Category :
ISBN : 9783659967368
Author : Andrew N O'Connor
Publisher : RIAC
Page : 220 pages
File Size : 46,93 MB
Release : 2011
Category : Mathematics
ISBN : 1933904062
The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.
Author : Louis Theodore
Publisher : CRC Press
Page : 390 pages
File Size : 23,10 MB
Release : 2015-09-25
Category : Mathematics
ISBN : 1498714404
A Training Tool for the Environmental Risk ProfessionalEnvironmental Risk Analysis: Probability Distribution Calculations defines the role that probability distributions play in risk analysis, and gives direction on how to measure and compare the magnitude of risk more efficiently. Designed for the practicing environmental engineer and scientist, t