A bivariate inverse Weibull distribution: properties, concomitant of order statistics, extropy’s measure

Taher, T. S.; Barakat, H. M.; Alawady, M. A.; Husseiny, I. A.

doi:10.21608/bfszu.2024.273512.1370

	A bivariate inverse Weibull distribution: properties, concomitant of order statistics, extropy’s measure
Bulletin of Faculty of Science, Zagazig University
Article 7, Volume 2024, Issue 4, January 2025, Page 64-78 PDF (1.9 MB)
Document Type: Original Article
DOI: 10.21608/bfszu.2024.273512.1370
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Authors
T. S. Taher ¹; H. M. Barakat²; M. A. Alawady³; I. A. Husseiny⁴
¹Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt.
²Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt
³Mathematics Department, Faculty of Science, Zagazig Univesity
⁴Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Abstract
This paper embarks on a comprehensive investigation of the Cambanis bivariate inverse Weibull (CAMBIW) distribution, meticulously delving into its inherent statistical properties and adaptability across diverse scenarios. Section 2 delves into the marginal and conditional distributions, regression curves, covariances, and correlations of the CAMBIW distribution, providing a thorough understanding of its behavior. It further extends the analysis to the study of concomitants of order statistics (OSs) derived from CAMBIW data, examining their moments to gain deeper insights into their characteristics. Building upon this foundation, Section 3 delves into the concept of extropy, deriving and discussing its application for both the inverse Weibull (IW) and CAMBIW distributions, offering valuable tools for measuring information content. Section 4 follows suit, exploring the concept of weighted extropy and its derivation for both IW and CAMBIW distributions, providing an additional layer of analysis. To solidify the understanding of the model's practical value and real-world relevance, Section 5 presents a meticulously chosen bivariate dataset and demonstrates the CAMBIW distribution's effectiveness through its respectable performance, highlighting its potential as a valuable tool for statistical analysis across various fields.
Keywords
Inverse Weibull distribution; Cambanis bivariate; Product moments; Extropy; Weighted extropy


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