Order Statistics of Inverse Pareto Distribution

In this paper we study the distribution of order statistics of the inverse Pareto distribution. We consider the single and product moment of order statistics from inverse Pareto distribution. Also, we establish some recurrence relation for single moments of order statistics. The exact analytical exp...

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Main Authors: Ghulam Mustafa, Muhammad Ijaz, Farrukh Jamal
Format: Article
Language:English
Published: The Scientific Association for Studies and Applied Research 2022-11-01
Series:Computational Journal of Mathematical and Statistical Sciences
Subjects:
Online Access:https://cjmss.journals.ekb.eg/article_272724.html
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author Ghulam Mustafa
Muhammad Ijaz
Farrukh Jamal
author_facet Ghulam Mustafa
Muhammad Ijaz
Farrukh Jamal
author_sort Ghulam Mustafa
collection DOAJ
description In this paper we study the distribution of order statistics of the inverse Pareto distribution. We consider the single and product moment of order statistics from inverse Pareto distribution. Also, we establish some recurrence relation for single moments of order statistics. The exact analytical expressions of entropy, residual entropy and past residual entropy for order statistics of inverse Pareto distribution is derived.
format Article
id doaj-art-3a96e7b5332b4ce59b53a2f9e7c07c20
institution DOAJ
issn 2974-3435
2974-3443
language English
publishDate 2022-11-01
publisher The Scientific Association for Studies and Applied Research
record_format Article
series Computational Journal of Mathematical and Statistical Sciences
spelling doaj-art-3a96e7b5332b4ce59b53a2f9e7c07c202025-08-20T02:49:02ZengThe Scientific Association for Studies and Applied ResearchComputational Journal of Mathematical and Statistical Sciences2974-34352974-34432022-11-0111516210.21608/CJMSS.2022.272724Order Statistics of Inverse Pareto DistributionGhulam Mustafa0Muhammad Ijaz1 Farrukh Jamal 2 M.Phil Scholar, Islamia College Peshawar, Khyber Pukhtunkhwa, PakistanFaculty of Mathematics & Statistics, University of Haripur, Khyber Pukhtunkhwa, PakistanDepartment of Statistics, The Islamia University of Bahawalpur, PakistanIn this paper we study the distribution of order statistics of the inverse Pareto distribution. We consider the single and product moment of order statistics from inverse Pareto distribution. Also, we establish some recurrence relation for single moments of order statistics. The exact analytical expressions of entropy, residual entropy and past residual entropy for order statistics of inverse Pareto distribution is derived. https://cjmss.journals.ekb.eg/article_272724.htmlinverse pareto distributionorder statisticsmomentsentropypast residual entropy
spellingShingle Ghulam Mustafa
Muhammad Ijaz
Farrukh Jamal
Order Statistics of Inverse Pareto Distribution
Computational Journal of Mathematical and Statistical Sciences
inverse pareto distribution
order statistics
moments
entropy
past residual entropy
title Order Statistics of Inverse Pareto Distribution
title_full Order Statistics of Inverse Pareto Distribution
title_fullStr Order Statistics of Inverse Pareto Distribution
title_full_unstemmed Order Statistics of Inverse Pareto Distribution
title_short Order Statistics of Inverse Pareto Distribution
title_sort order statistics of inverse pareto distribution
topic inverse pareto distribution
order statistics
moments
entropy
past residual entropy
url https://cjmss.journals.ekb.eg/article_272724.html
work_keys_str_mv AT ghulammustafa orderstatisticsofinverseparetodistribution
AT muhammadijaz orderstatisticsofinverseparetodistribution
AT farrukhjamal orderstatisticsofinverseparetodistribution