Information measures for order statistics and their concomitants from Cambanis bivariate family

One of the most efficient and robust methods in estimation is to find the Fisher information matrix (FIM). In this paper, the FIM concerning order statistics (OSs) and their concomitants about the shape-parameter vector of Cambanis bivariate distribution is derived. This method contains information...

Full description

Saved in:
Bibliographic Details
Published in:Communications in statistics. Theory and methods 2024-02, Vol.53 (3), p.865-881
Main Authors: Husseiny, I. A., Alawady, M. A., Barakat, H. M., Abd Elgawad, M. A.
Format: Article
Language:English
Subjects:
Bivariate analysis
Cambanis bivariate family
concomitants
Entropy (Information theory)
Fisher information
order statistics
Parameters
Robustness (mathematics)
Shannon entropy
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:One of the most efficient and robust methods in estimation is to find the Fisher information matrix (FIM). In this paper, the FIM concerning order statistics (OSs) and their concomitants about the shape-parameter vector of Cambanis bivariate distribution is derived. This method contains information conveyed by singly or multiply censored bivariate samples drawn from the Cambanis bivariate distribution. In addition, we obtain and study the Fisher information (FI) about the mean and shape parameters in the concomitants of OSs for this bivariate distribution based on exponential and power function distributions. Finally, the information entropy of Shannon in the OSs and their concomitants based on the Cambanis distribution is studied. Some numerical computations were performed on the FI which lend support to the theoretical results.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2022.2093909