Data Analysis by Adaptive Progressive Hybrid Censored Under Bivariate Model

El-Sayed A. El-Sherpieny (), Hiba Z. Muhammed () and Ehab M. Almetwally ()
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El-Sayed A. El-Sherpieny: Cairo University
Hiba Z. Muhammed: Cairo University
Ehab M. Almetwally: Cairo University

Annals of Data Science, 2024, vol. 11, issue 2, No 5, 507-548

Abstract: Abstract The purpose of this paper is to introduce the adaptive progressive hybrid censored scheme of the bivariate model which expands the limited applicability of failure censored schemes for the bivariate models in several fields of products. Also, the paper discusses a new bivariate model based on an adaptive progressive hybrid censored with more efficacy than the traditional models. Based on the FGM copula function and Odd-Weibull family, we will introduce the bivariate FGM Weibull-Weibull distribution. To estimate the model parameters, maximum likelihood and Bayesian estimation are used. In addition, for the parameter model, asymptotic confidence intervals and credible intervals of the highest posterior density for the Bayesian are calculated. A Monte-Carlo simulation analysis is carried out of the maximum likelihood and Bayesian estimators. Finally, we demonstrate the utility of the suggested bivariate distribution using real data from the medical area, such as diabetic nephropathy data.

Keywords: Hybrid censored; FGM copula; Bayesian; Confidence intervals; Adaptive sample (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s40745-022-00455-z

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