Gamma and Related Distributions

Nonfiction, Science & Nature, Mathematics
Cover of the book Gamma and Related Distributions by K. Carolynne Ayienda, Books on Demand
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Author: K. Carolynne Ayienda ISBN: 9783735716484
Publisher: Books on Demand Publication: March 20, 2014
Imprint: Language: English
Author: K. Carolynne Ayienda
ISBN: 9783735716484
Publisher: Books on Demand
Publication: March 20, 2014
Imprint:
Language: English
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.
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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.

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