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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Univariate and Bivariate Gamma-Type Distributions

Univariate and Bivariate Gamma-Type Distributions

Saboor, Abdus
B. Provost, Serge
Ahmad, Munir

Paperback

Probability & Statistics

Currently unavailable to order

ISBN10: 3838345533
ISBN13: 9783838345536
Publisher: Lap Lambert Academic Pub
Published: Jun 26 2010
Pages: 80
Weight: 0.28
Height: 0.19 Width: 6.00 Depth: 9.00
Language: English
In this book we define univariate and bivariate gamma-type distributions and discuss some of their statistical functions, including the moment generating function. Numerous distributions such as the Rayleigh, half-normal and Maxwell distributions can be obtained as special cases. The moment generating function of both univariate and bivariate random variables are derived by making use of the inverse Mellin transform technique and expressed in terms of generalized hypergeometric functions. These representations provide computable expressions for the moment generating functions of several of the distributions that were identified as particular cases. Some other statistical functions are also given in closed form. The univariate distribution is utilized to model two data sets. This model provides a better fit than the two-parameter Weibull model or its shifted counterpart, as measured by the Anderson-Darling and Cramer-von Mises statistics.

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