Fisher information in order statistics and their concomitants for Cambanis bivariate distribution-Reference-Cited by-同舟云学术

Fisher information in order statistics and their concomitants for Cambanis bivariate distribution

Published:2024-04-01 Issue:2 Volume:74 Page:501-520
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Husseiny Islam A.¹,Barakat Haroon M.¹,Taher Taher S.¹,Alawady Metwally A.¹

Affiliation:

1. Department of Mathematic Zagazig University Zagazig Egypt

Abstract

Abstract The Fisher information matrix (FIM) relevant to order statistics (OSs) and their concomitants of the shape-parameters vector of the Cambanis bivariate distribution is investigated. Singly or multiply censored bivariate samples drawn from the Cambanis bivariate distribution are used to obtain the Fisher information (FI). In addition, the FI contained in the scale and shape parameters of generalized exponential distributions in the concomitants of OSs is obtained. The cumulative residual FI in the concomitant of OSs based on the Cambanis family is theoretically and numerically studied. Finally, a bivariate real-world data set has been analyzed for illustrative purposes, and the performance of the proposed method is quite satisfactory.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/ms-2024-0038/pdf

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