Point estimation of the stress–strength reliability parameter for parallel system with independent and non-identical components

Pakdaman, Zohreh; Ahmadi, Jafar

doi:10.1080/03610918.2017.1309426

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…It is also obtained by Pakdaman and Ahmadi [12,13] (see Equations 2.8 and 9, respectively).…”

Section: Model Descriptionsupporting

confidence: 55%

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The mean remaining strength of parallel systems in a stress-strength model based on exponential distribution

Kızılaslan¹

2019

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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The mean remaining strength of any coherent system is one of the important characteristics in stress-strength reliability. It shows that the system on the average how long can be safe under the stress. In this paper, we consider the mean remaining strength of the parallel systems in the stressstrength model. We assume that the strength and stress components constitute parallel systems separately. The mean remaining strength and its estimations are obtained when the all components follow the exponential distribution. The likelihood ratio order between the remaining strength of the parallel systems is presented for two-component case. The simulation study is performed to compare the derived estimates and their results are presented.

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“…It is also obtained by Pakdaman and Ahmadi [12,13] (see Equations 2.8 and 9, respectively).…”

Section: Model Descriptionsupporting

confidence: 55%

“…Examples of such results and references can be found in Kotz et al [3], Kundu and Gupta [4], Basirat et al [5,6], Asgharzadeh et al [7]. However, some results in the multicomponent stress-strength models can be found in Bhattacharyya and Johnson [8,9], Eryilmaz [10,11], Pakdaman and Ahmadi [12,13], Hassan [14], K¬z¬laslan [15].…”

Section: Introductionmentioning

confidence: 99%

The mean remaining strength of parallel systems in a stress-strength model based on exponential distribution

Kızılaslan¹

2019

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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“…Xavier and Jose [4] presented the stress-strength reliability using a generalization of power transformed half-logistic distribution. Pakdaman and Ahmadi [5] provided the point estimation of R for parallel system with independent and non-identical components. Srinivasa et al [6] presented the estimation of reliability in multicomponent stress-strength based on two parameter exponentiated Weibull distribution.…”

Section: Introductionmentioning

confidence: 99%

Copula-based Reliability Analysis for Multicomponent System Stress-Strength Model under Progressively Censoring

Cai

Yang

et al. 2023

Preprint

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In reliability analysis, the stress-strength model is of importance and interest issue. Usually, the stress variable and the strength variable are assumed to be independent. However, such an assumption may be unrealistic in some applications. In this paper, we consider the statistical analysis of multicomponent system stress-strength model when the stress and strength are dependent variables, and the dependency is modeled by two different copula functions. We obtain the maximum likelihood estimates of the model parameters and the expression for the probability R=P(Y<X). Confidence intervals are constructed based on the asymptotic normality of maximum likelihood estimate. In addition, to test the dependence between the stress and strength variables, we discuss the likelihood ratio tests for hypotheses of interest. Finally, simulation studies and one real data example are provided to support the proposed model and methods, and to examine the performance of estimators and testing.

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Stress–strength reliability estimation of a consecutive k-out-of-n system based on proportional hazard rate family

Demiray

Kızılaslan

2021

Journal of Statistical Computation and Simulation

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Point estimation of the stress–strength reliability parameter for parallel system with independent and non-identical components

Cited by 5 publications

References 16 publications

The mean remaining strength of parallel systems in a stress-strength model based on exponential distribution

The mean remaining strength of parallel systems in a stress-strength model based on exponential distribution

Copula-based Reliability Analysis for Multicomponent System Stress-Strength Model under Progressively Censoring

Stress–strength reliability estimation of a consecutive k-out-of-n system based on proportional hazard rate family

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