Abstract If the distribution of the linear combination of two independent and identically distributed random variables from a distribution belongs to the same distribution, then we call that distribution a stable distribution. The Levy distribution is a member of the family of stable...

In this paper, we investigate a random contraction scheme proposed by Wesolowski and Ahsanullah (2004. Austral. NZ J. Statist. 46, 297-303). Random contraction is used in the record and order statistics settings. Some distributional recurrence relations were found for the probability density...