Reliability Estimation for Stress-Strength Model Based on Unit-Half-Normal Distribution

Autor: Rolando de la Cruz, Hugo S. Salinas, Cristian Meza
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Symmetry, Vol 14, Iss 4, p 837 (2022)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym14040837
Popis: Many lifetime distribution models have successfully served as population models for risk analysis and reliability mechanisms. We propose a novel estimation procedure of stress–strength reliability in the case of two independent unit-half-normal distributions can fit asymmetrical data with either positive or negative skew, with different shape parameters. We obtain the maximum likelihood estimator of the reliability, its asymptotic distribution, and exact and asymptotic confidence intervals. In addition, confidence intervals of model parameters are constructed by using bootstrap techniques. We study the performance of the estimators based on Monte Carlo simulations, the mean squared error, average bias and length, and coverage probabilities. Finally, we apply the proposed reliability model in data analysis of burr measurements on the iron sheets.
Databáze: Directory of Open Access Journals
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