Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and His Applications

Document Type : Original Article

Authors

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