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

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 considere...

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Published in:The Egyptian Statistical Journal
Main Authors: M.M. Mohie El-Din, K.S. Sultan
Format: Article
Language:English
Published: Cairo University, Faculty of Graduate Studies for Statistical Research (FGSSR) 1993-12-01
Subjects:
Online Access:https://esju.journals.ekb.eg/article_314845_a8f9d10769f82d8e98c2cfd35327f6f1.pdf
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author M.M. Mohie El-Din
K.S. Sultan
author_facet M.M. Mohie El-Din
K.S. Sultan
author_sort M.M. Mohie El-Din
collection DOAJ
container_title The Egyptian Statistical Journal
description 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.
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language English
publishDate 1993-12-01
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spelling doaj-art-119c7882a8564f1dbbed9e8e048daedb2026-05-26T16:37:29ZengCairo University, Faculty of Graduate Studies for Statistical Research (FGSSR)The Egyptian Statistical Journal0542-17482786-00861993-12-0137233634510.21608/esju.1993.314845Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its ApplicationsM.M. Mohie El-Din0K.S. Sultan1Faculty of Science, Al-Azhar University, Cairo, EgyptFaculty of Science, Al-Azhar University, Cairo, EgyptGeneral 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.https://esju.journals.ekb.eg/article_314845_a8f9d10769f82d8e98c2cfd35327f6f1.pdfContinuous FunctionDoubly Truncated Continuous DistributionsOrder StatisticsRecurrence Relations
spellingShingle M.M. Mohie El-Din
K.S. Sultan
Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications
Continuous Function
Doubly Truncated Continuous Distributions
Order Statistics
Recurrence Relations
title Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications
title_full Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications
title_fullStr Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications
title_full_unstemmed Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications
title_short Recurrence Relations Between any Continuous Function of Order Statistics for Doubly Truncated Continuous Distributions and its Applications
title_sort recurrence relations between any continuous function of order statistics for doubly truncated continuous distributions and its applications
topic Continuous Function
Doubly Truncated Continuous Distributions
Order Statistics
Recurrence Relations
url https://esju.journals.ekb.eg/article_314845_a8f9d10769f82d8e98c2cfd35327f6f1.pdf
work_keys_str_mv AT mmmohieeldin recurrencerelationsbetweenanycontinuousfunctionoforderstatisticsfordoublytruncatedcontinuousdistributionsanditsapplications
AT kssultan recurrencerelationsbetweenanycontinuousfunctionoforderstatisticsfordoublytruncatedcontinuousdistributionsanditsapplications