Multicomponent Inverse Lomax Stress-Strength Reliability

Abstract

In this article we derive two reliability mathematical expressions of two kinds of s-out of -k stress-strength model systems; and . Both stress and strength are assumed to have an Inverse Lomax distribution with unknown shape parameters and a common known scale parameter. The increase and decrease in the real values of the two reliabilities are studied according to the increase and decrease in the distribution parameters. Two estimation methods are used to estimate the distribution parameters and the reliabilities, which are Maximum Likelihood and Regression. A comparison is made between the estimators based on a simulation study by the mean squared error criteria, which revealed that the maximum likelihood estimator works the best.

Employ Stress-Strength Reliability Technique in Case the Inverse Chen Distribution

“…2.2 Percentile Estimator Method: [5] Let 𝑋 ~ ICD (𝜆 1 , 𝛽) and 𝑌 ~ ICD (𝜆 2 , 𝛽), then the Percentile estimator is obtained by minimizing the sum of squared between the value and expected value of CDF as follows:…”

Estimation of Stress - Strength Reliability for Parallel Redundant System Via Burr of type X Distribution

“…In (2020), N. S. Karam et.al. [5] studied the reliability of a multicomponent system based on the Lomax stressstrength model. In (2021), F. GülceCüran [6], the reliability of a redundant system with exponentially distributed stress and strength variables.In (2021), N. S. Karam [7] estimated the reliability of a stress-strength model based on the Generalized Inverted Kumaraswamy distribution.…”

Stress - Strength Reliability Estimation for Parallel Redundant System Based on Weibull-Ryleigh Distribution

“…The mean of the data sets for each case was calculated and is given for each case in the tables (1)(2)(3)(4)(5)(6)(7)(8).…”

“…In (2020) N. S. Karam et.al. [1] studied the reliability of a multicomponent system based on the Lomax stress-strength model. In (2021) F. GülceCüran [2], the reliability of a redundant system with exponentially distributed stress and strength variables.In (2021) N. S. Karam [3], estimated the reliability a stress-strength model based on the Generalized Inverted Kumaraswamy distribution.…”