EXPECTATION IDENTITIES BASED ON RECURRENCE RELATIONS OF FUNCTIONS OF GENERALIZED ORDER STATISTICS

Authors

  • Zaki Anwar
  • Haseeb Athar
  • R.U. Khan

Keywords:

Order statistics, record values, sequential order statistics, Burr, power function, Pareto and Weibull distributions.

Abstract

Some recurrence relations between expectation of function on single and joint
generalized order statistics for a general class of distribution
1 − F(x) = exp h −
1
c
{h(x) − h()}i, < x <
are obtained. Further, various deductions and particular cases are also discussed.

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Issue

Vol. 41 No. 2 (2007)

Section

Articles