Abstract
In this paper, we derive the explicit expressions for single and product moments of generalized order statistics from Pareto-Rayleigh distribution using hypergeometric functions. Also, some interesting remarks are presented.
Highlights
Pareto-Rayleigh distribution can be seen as a member of Transformed-Transformer family of distributions proposed by Alzaatreh et al, [4]
We have derived explicit expression for single and product moments of Pareto-Rayleigh distribution based on gos
Setting m1 = m2 = · · · = mn−1 = 0 and k = 1 in (22), we get the result as the product moment of order statistics as (j, l) μr,s,n,0,1
Summary
The model of gos contains special cases such as ordinary order statistics In this paper we are interested in a situation when a random variable X follows the Pareto-Rayleigh(P-R) distribution with pd f α x2 −(α+1). Pareto-Rayleigh distribution can be seen as a member of Transformed-Transformer family (or T-X family) of distributions proposed by Alzaatreh et al, [4]. This distribution is recognized as a good model for fitting various lifetime data, see Jebeli and Deiri [5]. We have derived explicit expression for single and product moments of Pareto-Rayleigh distribution based on gos
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