G Families Of Probability Distributions


G Families Of Probability Distributions
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G Families Of Probability Distributions


G Families Of Probability Distributions
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Author : Mir Masoom Ali
language : en
Publisher: CRC Press
Release Date : 2023-03-31

G Families Of Probability Distributions written by Mir Masoom Ali and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-31 with Mathematics categories.


Statistical distributions are essential tools to model the characteristics of datasets, such as right or left skewness, bi-modality or multi-modality observed in different applied sciences, such as engineering, medicine, and finance. The well-known distributions like normal, Weibull, gamma and Lindley are extensively used because of their simple forms and identifiability properties. In the last decade, researchers have focused on the more complex and flexible distributions, referred to as Generalized or simply G families of probability distributions, to increase the modelling capability of these distributions by adding one or more shape parameters. The main aim of this edited book is to present new contributions by researchers in the field of G families of probability distributions. The book will help researchers to: Develop new univariate continuous and discrete G families of probability distributions. Develop new bivariate continuous and discrete G families of probability distributions. Derive beneficial mathematical properties such as ordinary and incomplete moments, moment generating functions, residual life and reversed residual life functions, order statistics, quantile spread ordering and entropies, and some bivariate and multivariate extensions of the new and existing models using a simple-type copula.



Lagrangian Probability Distributions


Lagrangian Probability Distributions
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Author : Prem C. Consul
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-25

Lagrangian Probability Distributions written by Prem C. Consul 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 2006-07-25 with Mathematics categories.


Fills a gap in book literature Examines many new Lagrangian probability distributions and their applications to a variety of different fields Presents background mathematical and statistical formulas for easy reference Detailed bibliography and index Exercises in many chapters May be used as a reference text or in graduate courses and seminars on Distribution Theory and Lagrangian Distributions



Life Distributions


Life Distributions
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Author : Albert W. Marshall
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-13

Life Distributions written by Albert W. Marshall 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 2007-10-13 with Technology & Engineering categories.


This book is devoted to the study of univariate distributions appropriate for the analyses of data known to be nonnegative. The book includes much material from reliability theory in engineering and survival analysis in medicine.



Characterizations Of Probability Distributions


Characterizations Of Probability Distributions
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Author : Janos Galambos
language : en
Publisher: Springer
Release Date : 2006-11-15

Characterizations Of Probability Distributions written by Janos Galambos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Families Of Frequency Distributions


Families Of Frequency Distributions
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Author : J. K. Ord
language : en
Publisher:
Release Date : 1972

Families Of Frequency Distributions written by J. K. Ord and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Distribution (Probability theory). categories.




Probability Distributions Used In Reliability Engineering


Probability Distributions Used In Reliability Engineering
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Author : Andrew N O'Connor
language : en
Publisher: RIAC
Release Date : 2011

Probability Distributions Used In Reliability Engineering written by Andrew N O'Connor and has been published by RIAC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


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.



Information And Exponential Families


Information And Exponential Families
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Author : O. Barndorff-Nielsen
language : en
Publisher: John Wiley & Sons
Release Date : 2014-05-07

Information And Exponential Families written by O. Barndorff-Nielsen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-07 with Mathematics categories.


First published by Wiley in 1978, this book is being re-issued with a new Preface by the author. The roots of the book lie in the writings of RA Fisher both as concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics. His treatise brings together results on aspects of statistical information, notably concerning likelihood functions, plausibility functions, ancillarity, and sufficiency, and on exponential families of probability distributions.



Field Guide To Continuous Probability Distributions


Field Guide To Continuous Probability Distributions
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Author : Gavin E Crooks
language : en
Publisher:
Release Date : 2019-04

Field Guide To Continuous Probability Distributions written by Gavin E Crooks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04 with categories.


A common problem is that of describing the probability distribution of a single, continuous variable. A few distributions, such as the normal and exponential, were discovered in the 1800's or earlier. But about a century ago the great statistician, Karl Pearson, realized that the known probability distributions were not sufficient to handle all of the phenomena then under investigation, and set out to create new distributions with useful properties. During the 20th century this process continued with abandon and a vast menagerie of distinct mathematical forms were discovered and invented, investigated, analyzed, rediscovered and renamed, all for the purpose of describing the probability of some interesting variable. There are hundreds of named distributions and synonyms in current usage. The apparent diversity is unending and disorienting. Fortunately, the situation is less confused than it might at first appear. Most common, continuous, univariate, unimodal distributions can be organized into a small number of distinct families, which are all special cases of a single Grand Unified Distribution. This compendium details these hundred or so simple distributions, their properties and their interrelations.



Univariate Discrete Distributions


Univariate Discrete Distributions
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Author : Norman L. Johnson
language : en
Publisher: John Wiley & Sons
Release Date : 2005-10-03

Univariate Discrete Distributions written by Norman L. Johnson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-03 with Mathematics categories.


This Set Contains: Continuous Multivariate Distributions, Volume 1, Models and Applications, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 1, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Continuous Univariate Distributions, Volume 2, 2nd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discrete Multivariate Distributions by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Univariate Discrete Distributions, 3rd Edition by Samuel Kotz, N. Balakrishnan and Normal L. Johnson Discover the latest advances in discrete distributions theory The Third Edition of the critically acclaimed Univariate Discrete Distributions provides a self-contained, systematic treatment of the theory, derivation, and application of probability distributions for count data. Generalized zeta-function and q-series distributions have been added and are covered in detail. New families of distributions, including Lagrangian-type distributions, are integrated into this thoroughly revised and updated text. Additional applications of univariate discrete distributions are explored to demonstrate the flexibility of this powerful method. A thorough survey of recent statistical literature draws attention to many new distributions and results for the classical distributions. Approximately 450 new references along with several new sections are introduced to reflect the current literature and knowledge of discrete distributions. Beginning with mathematical, probability, and statistical fundamentals, the authors provide clear coverage of the key topics in the field, including: Families of discrete distributions Binomial distribution Poisson distribution Negative binomial distribution Hypergeometric distributions Logarithmic and Lagrangian distributions Mixture distributions Stopped-sum distributions Matching, occupancy, runs, and q-series distributions Parametric regression models and miscellanea Emphasis continues to be placed on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions. New derivations of discrete distributions via stochastic processes and random walks are introduced without unnecessarily complex discussions of stochastic processes. Throughout the Third Edition, extensive information has been added to reflect the new role of computer-based applications. With its thorough coverage and balanced presentation of theory and application, this is an excellent and essential reference for statisticians and mathematicians.



Probability Distributions An Introduction To Probability Theory With Applications


Probability Distributions An Introduction To Probability Theory With Applications
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Author : Chris P. Tsokos
language : en
Publisher: Brooks/Cole
Release Date : 1972

Probability Distributions An Introduction To Probability Theory With Applications written by Chris P. Tsokos and has been published by Brooks/Cole this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.