Some Completely Monotonic Properties for the (p, g)-Gamma Function
Krasniqi, Valmir, Merovci, Faton (2012)
Mathematica Balkanica New Series
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MSC 2010: 33B15, 26A51, 26A48
Krasniqi, Valmir, Merovci, Faton (2012)
Mathematica Balkanica New Series
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MSC 2010: 33B15, 26A51, 26A48
Pienaru, Ioan (1996)
General Mathematics
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Abdur Rehman, Shahid Mubeen, Rabia Safdar, Naeem Sadiq (2015)
Open Mathematics
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In this paper, we discuss some properties of beta function of several variables which are the extension of beta function of two variables. We define k-beta function of several variables and derive some properties of this function which are the extension of k-beta function of two variables, recently defined by Diaz and Pariguan [4]. Also, we extend the formula Γk(2z) proved by Kokologiannaki [5] via properties of k-beta function.
Saralees Nadarajah (2007)
Applicationes Mathematicae
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The gamma and Rayleigh distributions are two of the most applied distributions in engineering. Motivated by engineering issues, the exact distribution of the quotient X/Y is derived when X and Y are independent gamma and Rayleigh random variables. Tabulations of the associated percentage points and a computer program for generating them are also given.
Célia Maria Pinto Nunes, Sandra Maria Bargão Saraiva Ferreira, Dário Jorge da Conceição Ferreira (2009)
Discussiones Mathematicae Probability and Statistics
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Generalized F tests were introduced for linear models by Michalski and Zmyślony (1996, 1999). When the observations are taken in not perfectly standardized conditions the F tests have generalized F distributions with random non-centrality parameters, see Nunes and Mexia (2006). We now study the case of nearly normal perturbations leading to Gamma distributed non-centrality parameters.
T.P. Hutchinson (1981)
Metrika
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Atia, Mohamed Jalel (2000)
International Journal of Mathematics and Mathematical Sciences
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Kanchan Jain, Neetu Singla, Rameshwar D. Gupta (2014)
Discussiones Mathematicae Probability and Statistics
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Weighted Gamma (WG), a weighted version of Gamma distribution, is introduced. The hazard function is increasing or upside-down bathtub depending upon the values of the parameters. This distribution can be obtained as a hidden upper truncation model. The expressions for the moment generating function and the moments are given. The non-linear equations for finding maximum likelihood estimators (MLEs) of parameters are provided and MLEs have been computed through simulations and also for...
Zhang, Xiaoming, Chu, Yuming (2009)
Journal of Inequalities and Applications [electronic only]
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Shabani, Armend Sh. (2008)
Annales Mathematicae et Informaticae
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Tadeusz Gerstenkorn (2004)
Open Mathematics
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This paper presents a compound of the generalized negative binomial distribution with the generalized beta distribution. In the introductory part of the paper, we provide a chronological overview of recent developments in the compounding of distributions, including the Polish results. Then, in addition to presenting the probability function of the compound generalized negative binomial-generalized beta distribution, we present special cases as well as factorial and crude moments of some...
Daniel S. Moak (1980)
Aequationes mathematicae
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Zhao, Tie-Hong, Chu, Yu-Ming (2010)
Journal of Inequalities and Applications [electronic only]
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