Extropy Based on Concomitants of Order Statistics in Farlie-Gumbel-Morgenstern Family for Random Variables Representing Past Life-Reference-Cited by-同舟云学术

Extropy Based on Concomitants of Order Statistics in Farlie-Gumbel-Morgenstern Family for Random Variables Representing Past Life

Published:2023-08-16 Issue:8 Volume:12 Page:792
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Irshad Muhammed Rasheed¹^ORCID,Archana Krishnakumar¹,Al-Omari Amer Ibrahim²^ORCID,Maya Radhakumari³^ORCID,Alomani Ghadah⁴^ORCID

Affiliation:

1. Department of Statistics, Cochin University of Science and Technology, Cochin 682 022, Kerala, India

2. Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq 251113, Jordan

3. Department of Statistics, University College, Trivandrum 695 034, Kerala, India

4. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

In this paper, we refined the concept of past extropy measure for concomitants of order statistics from Farlie-Gumbel-Morgenstern family. In addition, cumulative past extropy measure and dynamic cumulative past extropy measure for concomitant of rth order statistic are also conferred and their properties are studied. The problem of estimating the cumulative past extropy is investigated using empirical technique. The validity of the proposed estimator has been emphasized using simulation study.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/8/792/pdf

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