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Author de la Cruz, R.; Salinas, H.S.; Meza, C.
Title Reliability Estimation for Stress-Strength Model Based on Unit-Half-Normal Distribution Type
Year 2022 Publication (up) Symmetry-Basel Abbreviated Journal Symmetry
Volume 14 Issue 4 Pages 837
Keywords bootstrap confidence intervals; bootstrap methods; entropy; exact and asymptotic confidence interval; mean residual life; simulation studies; strength-stress model; unit-half-normal distribution
Abstract 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.
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ISSN 2073-8994 ISBN Medium
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Notes WOS:000785126300001 Approved
Call Number UAI @ alexi.delcanto @ Serial 1570
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