On Characterizations of the Continuous Distributions via Identically Distributed Functions of Upper Record Values

  • Hyun-Woo Jin
  • Min-Young Lee
Keywords: Identical distribution, hazard rate, functional equation

Abstract

In this paper, we obtain two characterizations of a family of continuous probability distribution via identically distributed functions of upper record values. Examples of special cases of general lasses as Pareto, power, beta, Lomax, Singh-Maddala, Gompertz, Rayleigh, Weibull, Kumaraswamy, rectangular, extream value, Burr type and Lindley distributions are discussed.

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Published
2020-06-30
Section
Articles