Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications | ||
The Egyptian Statistical Journal | ||
Article 11, Volume 37, Issue 2, December 1993, Pages 336-345 PDF (3.57 M) | ||
Document Type: Original Article | ||
DOI: 10.21608/esju.1993.314845 | ||
Authors | ||
M.M. Mohie El-Din* ; K.S. Sultan | ||
Faculty of Science, Al-Azhar University, Cairo, Egypt | ||
Abstract | ||
General results for obtaining recurrence relations for doubly truncated continuous distributions, are established, in the single and joint order statistics. We also present two applications. The first application is: recurrence relations between factorial 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. | ||
Keywords | ||
Continuous Function; Doubly Truncated Continuous Distributions; Order Statistics; Recurrence Relations | ||
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