THE EXACT DISTRIBUTION OF SUMS WEIGHTS OF GAMMA VARIABLES

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ALMASI I.; JALILIAN R.; SAYEHMIRI K.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS) Year:2012 | Volume:11 | Issue:1 Page(s): 23-37

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Title

THE EXACT DISTRIBUTION OF SUMS WEIGHTS OF GAMMA VARIABLES

Author(s)

ALMASI I. | JALILIAN R. | SAYEHMIRI K. | Issue Writer Certificate

Keywords

CONFLUENT HYPERGEOMETRICQ4

LAURICELLA FUNCTIONQ4

WEIGHTED GAMMA CONVOLUTIONQ4

Abstract

We consider a representation of the probability density function of a weighted convolution of the gamma distribution, where a CONFLUENT HYPERGEOMETRIC function describes how the differences between the parameters of the components of scale lead to departures from a density range. It is shown that the distributions can be characterized as the product between a gamma density and a CONFLUENT HYPERGEOMETRIC function. We give closed-form expressions for the cumulative, survival and hazard rate function. The corresponding moment generating function (m.g.f) and cumulant generating function(c.g.f) have been calculated and their properties have bean discussed.

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APA: Copy

ALMASI, I., JALILIAN, R., & SAYEHMIRI, K.. (2012). THE EXACT DISTRIBUTION OF SUMS WEIGHTS OF GAMMA VARIABLES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), 11(1), 23-37. SID. https://sid.ir/paper/117855/en

Vancouver: Copy

ALMASI I., JALILIAN R., SAYEHMIRI K.. THE EXACT DISTRIBUTION OF SUMS WEIGHTS OF GAMMA VARIABLES. JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS)[Internet]. 2012;11(1):23-37. Available from: https://sid.ir/paper/117855/en

IEEE: Copy

I. ALMASI, R. JALILIAN, and K. SAYEHMIRI, “THE EXACT DISTRIBUTION OF SUMS WEIGHTS OF GAMMA VARIABLES,” JOURNAL OF THE IRANIAN STATISTICAL SOCIETY (JIRSS), vol. 11, no. 1, pp. 23–37, 2012, [Online]. Available: https://sid.ir/paper/117855/en

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