Open AccessEstimate the Parallel System Reliability in Stress-Strength Model Based on Exponentiated Inverted Weibull Distribution
Author(s) -
Eman Ahmed Abdulateef,
Abbas Najim Salman,
Adil Abdulkadhim Hussein
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/2/022105
Subject(s) - weibull distribution , estimator , mathematics , statistics , reliability (semiconductor) , independent and identically distributed random variables , random variable , exponentiated weibull distribution , mean squared error , maximum likelihood , weibull modulus , stress (linguistics) , physics , thermodynamics , power (physics) , linguistics , philosophy
In this paper, we employ the maximum likelihood estimator in addition to the shrinkage estimation procedure to estimate the system reliability ( R k ) contain K th parallel components in the stress-strength model, when the stress and strength are independent and non-identically random variables and they follow two parameters Exponentiated Inverted Weibull Distribution (EIWD). Comparisons among the proposed estimators were presented depend on simulation established on mean squared error (MSE) criteria.