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

Authors

  • Hyun-Woo Jin Department of Mathematics, Dankook University, Cheonan, Republic of Korea
  • Min-Young Lee Department of Mathematics, Dankook University, Cheonan, Republic of Korea

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

How to Cite

Jin, H.-W., & Lee, M.-Y. (2020). On Characterizations of the Continuous Distributions via Identically Distributed Functions of Upper Record Values. Thailand Statistician, 18(3), 243–250. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/241272

Issue

Vol. 18 No. 3 (2020): July

Section

Articles