Order Statistics From the Power Inverted Topp–Leone Distribution: Characterizations and Statistical Properties

This work establishes recurrence relations for the single and product moments of generalized order statistics. These connections are used to analyse the data. The Power Inverted Topp–Leone (PITL) distribution is the source from which these statistics were acquired. Furthermore, it provides specific results for order statistics and record values in addition to this. Additionally, the recurrence relations that were derived are applied to describe the PITL distribution. This is done in addition to the previous point.

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Journal
Statistics Optimization & Information Computing
Published
2025-07-25
DOI
https://doi.org/10.19139/soic-2310-5070-2717
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

Order Statistics From the Power Inverted Topp–Leone Distribution: Characterizations and Statistical Properties

Ahmed Mahdi Salih, Wafaa Husien, Murtadha Abdulah
Statistics Optimization & Information Computing
Statistical Distribution Estimation and Applications
article

Order Statistics From the Power Inverted Topp–Leone Distribution: Characterizations and Statistical Properties

Ahmed Mahdi Salih, Wafaa Husien, Murtadha Abdulah
article en

Abstract

This work establishes recurrence relations for the single and product moments of generalized order statistics. These connections are used to analyse the data. The Power Inverted Topp–Leone (PITL) distribution is the source from which these statistics were acquired. Furthermore, it provides specific results for order statistics and record values in addition to this. Additionally, the recurrence relations that were derived are applied to describe the PITL distribution. This is done in addition to the previous point.

Statistics Optimization & Information ComputingVol. 14(2)
University of Wasit (IQ)
Openalex Percentile: Top 81%
Statistical Distribution Estimation and Applications
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