On the Powers of the Kummer Distribution
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Date
2017
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Academic Publication Council
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Abstract
The Kummer distribution is a probability distribution, whose density is given by f (x) = cx (alpha-1)(1 + delta x)(-gamma) e(-beta x), X > 0, where alpha, beta, delta > 0, gamma is an element of R and C is a normalizing constant. In this paper, the distributions of random variable X-P, p > 0, where X has the Kummer distribution, are considered with the conditions being IFR/DFR, some properties of moments depending on the parameters and the moment-(in) determinacy. In the case of moment-indeterminacy, exemplary Stieltjes classes are constructed.
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Turan, Mehmet/0000-0002-1718-3902
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Keywords
Failure rate, Kummer distribution, moment-(in) determinacy, Stieltjes class
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Citation
WoS Q
Q3
Scopus Q
Q2
Source
Kuwait Journal of Science
Volume
44
Issue
2
Start Page
1
End Page
8