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Recurrence relations for expectations of functions of order statistics for doubly truncated distributions and their applications
Journal article   Peer reviewed

Recurrence relations for expectations of functions of order statistics for doubly truncated distributions and their applications

M.M. Mohit El Din and K.S. Sultan
Communications in statistics. Theory and methods, Vol.24(4), pp.997-1010
01/01/1995
DOI: https://doi.org/10.1080/03610929508831535

Abstract

erponentral extreme value and Laplace distributions factoiral momend generating function logistic moment generating function moments order statistics racurrence relations relibility and failure rate function
General results for obtaining recurrence relations for doubly truncated continuous distributions, are established for the single and joint order statistics. We also present two applications. The first application is:recurrence relations between factorial moment generating functions, the examples considered are exponential, logistic, extreme-value, and Laplace distributions. The second application is: some recurrence relations between reliability and failure rate functions.

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