Ostrovska, SofiyaTuran, MehmetMathematicsMathematics2024-10-062024-10-0620172307-41082307-41162-s2.0-85019854897https://hdl.handle.net/20.500.14411/9075Turan, Mehmet/0000-0002-1718-3902The 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.eninfo:eu-repo/semantics/closedAccessFailure rateKummer distributionmoment-(in) determinacyStieltjes classOn the Powers of the Kummer DistributionArticleQ3Q244218WOS:0004104245000013