Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed

Zofia Grudzień; Dominik Szynal

Displaying similar documents to “Characterizations of uniform and exponential distributions via moments of the kth record values randomly indexed”

Characterizations of power distributions via moments of order statistics and record values

Z. Grudzień, D. Szynal (1999)

Applicationes Mathematicae

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Power distributions can be characterized by equalities involving three moments of order statistics. Similar equalities involving three moments of k-record values can also be used for such a characterization. The case of samples with random sizes is also considered.

Distribution of a sum of independent positive generalized discrete random variables

Shanmugam, Ramalingam (1988)

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An occupancy problem with group drawings of different sizes

Saleh M. Mitwalli (2002)

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Simple random walk and rank order statistics

Igor Očka (1977)

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The distributions of rank order statistics are studied for the case of arbitrary sample sizes in the two sample problem. The method applied is a generalization of Dwass's method from his paper in Ann. Math. Statist. 38 (1967), based on the analogy of rank order statistics and functions on a simple random walk.

On simulation of multidimensional random sequences

Jiří Anděl (1994)

Acta Universitatis Carolinae. Mathematica et Physica

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Muliere and Scarsini's bivariate Pareto distribution: sums, products and ratios.

Saralees Nadarajah, Samuel Kotz (2005)

SORT

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We derive the exact distributions of R = X + Y, P = X Y and W = X / (X + Y) and the corresponding moment properties when X and Y follow Muliere and Scarsini's bivariate Pareto distribution. The expressions turn out to involve special functions. We also provide extensive tabulations of the percentage points associated with the distributions. These tables -obtained using intensive computer power- will be of use to the practitioners of the bivariate Pareto distribution.