Expectation identities based on recurrence relations of functions of generalized order statistics

Zaki Anwar, Haseeb Athar, and R.U. Khan

Some recurrence relations between expectation of function on single and joint
generalized order statistics for a general class of distribution

    \begin{align*} 1 − F(x) = \exp \Big[ -\frac{1}{c} \{ h(x)-h(\alpha)\} \Big], \alpha<x<\beta \end{align*}

are obtained. Further, various deductions and particular cases are also discussed.
Keywords and phrases: Order statistics, record values, sequential order statistics,
Burr, power function; Pareto and Weibull distributions.

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