On the powers of the Kummer distribution
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Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
University of Kuwait
Abstract
The Kummer distribution is a probability distribution, whose density is given by f(x) = Cxαδx)-γe-βx, x > 0 where α, β, δ > 0, γ ∈ ℝ, and C is a normalizing constant. In this paper, the distributions of random variable Xp, 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.
Description
Keywords
Failure rate, Kummer distribution, Moment-(in) determinacy, Stieltjes class
Turkish CoHE Thesis Center URL
Citation
3
WoS Q
Q3
Scopus Q
Q2
Source
Kuwait Journal of Science
Volume
44
Issue
2
Start Page
1
End Page
8