A new lifetime exponential-\(X\) family of distributions with applications to reliability data
type: Item
instance of: scholarly article
title: A new lifetime exponential-\(X\) family of distributions with applications to reliability data
zbMATH Open document ID: 1459.60033
DOI: 10.1155/2020/1316345
author: Xiaoyan Huo
author: Saima K. Khosa
author: Zubair Ahmad
author: Zahra Almaspoor
author: Muhammad Ilyas
author: Muhammad Aamir
published in: Mathematical Problems in Engineering
publication date: 2020-10-12T00:00:00Z
review text: Summary: Modeling reliability data with nonmonotone hazards is a prominent research topic that is quite rich and still growing rapidly. Many studies have suggested introducing new families of distributions to modify the Weibull distribution to model the nonmonotone hazards. In the present study, we propose a new family of distributions called a new lifetime exponential-\(X\) family. A special submodel of the proposed family called a new lifetime exponential-Weibull distribution suitable for modeling reliability data with bathtub-shaped hazard rates is discussed. The maximum-likelihood estimators of the model parameters are obtained. A brief Monte Carlo simulation study is conducted to evaluate the performance of these estimators. For illustrative purposes, two real applications from reliability engineering with bathtub-shaped hazard functions are analyzed. The practical applications show that the proposed model provides better fits than the other nonnested models.
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 62N02
zbMATH DE Number: 7259564
Wikidata QID: Q115521705
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1316345
OpenAlex ID: W3076490906
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description: scientific article; zbMATH DE number 7259564