Gamma And Related Distributions


Gamma And Related Distributions
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Generalized Gamma Convolutions And Related Classes Of Distributions And Densities


Generalized Gamma Convolutions And Related Classes Of Distributions And Densities
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Author : Lennart Bondesson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Generalized Gamma Convolutions And Related Classes Of Distributions And Densities written by Lennart Bondesson 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 2012-12-06 with Mathematics categories.


Generalized Gamma convolutions were introduced by Olof Thorin in 1977 and were used by him to show that, in particular, the Lognormal distribution is infinitely divisible. After that a large number of papers rapidly appeared with new results in a somewhat random order. Many of the papers appeared in the Scandinavian Actuarial Journal. This work is an attempt to present the main results on this class of probability distributions and related classes in a rather logical order. The goal has been to be on a level that is not too advanced. However, since the field is rather technical, most readers will find difficult passages in the text. Those who do not want to visit a mysterious land situated between the land of probability theory and statistics and the land of classical analysis should not look at this work. When some years ago I submitted a survey to a journal it was suggested by the editor, K. Krickeberg, that it should be expanded to a book. However, at that time I was rather reluctant to do so since there remained so many problems to be solved or to be solved in a smoother way than before. Moreover, there was at that time some lack of probabilistic interpretations and applications. Many of the problems are now solved but still it is felt that more applications than those presented in the work could be found.



Properties Of Estimators For The Gamma Distribution


Properties Of Estimators For The Gamma Distribution
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Author : Bowman
language : en
Publisher: CRC Press
Release Date : 1987-11-24

Properties Of Estimators For The Gamma Distribution written by Bowman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-11-24 with Mathematics categories.




Gamma And Related Distributions


Gamma And Related Distributions
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Author : K. Carolynne Ayienda
language : en
Publisher: BoD – Books on Demand
Release Date : 2014-02-27

Gamma And Related Distributions written by K. Carolynne Ayienda and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-27 with Mathematics categories.


The gamma distribution is one of the continuous distributions. Gamma distributions are very versatile and give useful presentations of many physical situations. They are perhaps the most applied statistical distribution in the area of reliability. Gamma distributions are of different types, 1, 2, 3, 4-parameters. They are applied in different fields, among them finance, economics, hydrological and in civil engineering. In this study we have constructed different types of gamma distributions using transformation/change of variable and cumulative techniques and calculated their properties using moments, identified their special cases and calculated their properties too. We have also constructed gamma related distribution using transformation and cumulative techniques and most of these distributions are expressed using special functions, also we have used the gamma-generator and gamma exponetiated–generator to generate new family of distributions.



Gamma And Beta Distribution Functions Applied To Size Distribution Of Mineral Products


Gamma And Beta Distribution Functions Applied To Size Distribution Of Mineral Products
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Author : Hillary W. St. Clair
language : en
Publisher:
Release Date : 1969

Gamma And Beta Distribution Functions Applied To Size Distribution Of Mineral Products written by Hillary W. St. Clair and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Distribution (Probability theory) categories.




Statistical Models In Engineering


Statistical Models In Engineering
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Author : Gerald J. Hahn
language : en
Publisher: Wiley-Interscience
Release Date : 1994-03-31

Statistical Models In Engineering written by Gerald J. Hahn and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-31 with Mathematics categories.


A detailed treatment on the use of statistical models representing physical phenomena. Considers the relevance of the popular normal distribution models and the applicability of exponential distribution in reliability problems. Introduces and discusses the use of alternate models such as gamma, beta and Weibull distributions. Features expansive coverage of system performance and describes an exact method known as the transformation of variables. Deals with techniques on assessing the adequacy of a chosen model including both graphical and analytical procedures. Contains scores of illustrative examples, most of which have been adapted from actual problems.



Handbook Of Exponential And Related Distributions For Engineers And Scientists


Handbook Of Exponential And Related Distributions For Engineers And Scientists
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Author : Nabendu Pal
language : en
Publisher: CRC Press
Release Date : 2005-11-21

Handbook Of Exponential And Related Distributions For Engineers And Scientists written by Nabendu Pal and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-21 with Mathematics categories.


The normal distribution is widely known and used by scientists and engineers. However, there are many cases when the normal distribution is not appropriate, due to the data being skewed. Rather than leaving you to search through journal articles, advanced theoretical monographs, or introductory texts for alternative distributions, the Handbook of E



Properties Of Estimators For The Gamma Distribution


Properties Of Estimators For The Gamma Distribution
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Author : K. O. Bowman
language : en
Publisher:
Release Date : 1968

Properties Of Estimators For The Gamma Distribution written by K. O. Bowman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.




Handbook Of Beta Distribution And Its Applications


Handbook Of Beta Distribution And Its Applications
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Author : Arjun K. Gupta
language : en
Publisher: CRC Press
Release Date : 2004-06-21

Handbook Of Beta Distribution And Its Applications written by Arjun K. Gupta and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-21 with Mathematics categories.


A milestone in the published literature on the subject, this first-ever Handbook of Beta Distribution and Its Applications clearly enumerates the properties of beta distributions and related mathematical notions. It summarizes modern applications in a variety of fields, reviews up-and-coming progress from the front lines of statistical research and practice, and demonstrates the applicability of beta distributions in fields such as economics, quality control, soil science, and biomedicine. The book discusses the centrality of beta distributions in Bayesian inference, the beta-binomial model and applications of the beta-binomial distribution, and applications of Dirichlet integrals.



The Gamma Family And Derived Distributions Applied In Hydrology


The Gamma Family And Derived Distributions Applied In Hydrology
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Author : Bernard Bobée
language : en
Publisher: Water Resources Publications, LLC
Release Date : 1991

The Gamma Family And Derived Distributions Applied In Hydrology written by Bernard Bobée and has been published by Water Resources Publications, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.




A Note On A Gamma Distribution Computer Program


A Note On A Gamma Distribution Computer Program
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Author : Harold L. Crutcher
language : en
Publisher:
Release Date : 1980

A Note On A Gamma Distribution Computer Program written by Harold L. Crutcher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computer graphics categories.