[PDF][PDF] Expectation identities based on recurrence relations of functions of generalized order statistics

Z Anwar, H Athar, RU Khan - Journal of Statistical Research, 2007 - academia.edu
Journal of Statistical Research, 2007academia.edu
… Some recurrence relations between expectation of function on single and joint generalized
order statistics for a general class of distribution … which is the recurrence relation for moments
of generalized order statistics from standard exponen- … Recurrence relations for product
moments of generalized order statistics for some selected distributions are provided below: …
The concept of generalized order statistics (gos) was given by Kamps (1995), which is given as below: Let F (·) be an absolutely continuous distribution function (df) with probability density function (pdf) f (·). Let n∈ N, n≥ 2, k> 0, m=(m1, m2,..., mn− 1)∈ Rn− 1, Mr= n− 1
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