Parametric and nonparametric estimation stress strength model based on copula function under first-failure progressively unified hybrid censoring schemes

Junmei Jia (), Hongyan Fan and Cen Zhang
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Junmei Jia: Inner Mongolia University of Technology
Hongyan Fan: Inner Mongolia University of Technology
Cen Zhang: Inner Mongolia University of Technology

International Journal of System Assurance Engineering and Management, 2024, vol. 15, issue 12, No 17, 5700-5712

Abstract: Abstract In the traditional interference of stress strength model, it is generally supposed that the strength variable and the stress variable are independent. However, in many engineering applications strength variable and the stress variable are dependent. To solve the situation where the strength variable and the stress variable are dependent, in this paper the dependent between strength and stress is considered, the correlation between strength and stress is described by Farlie–Gumbel–Morgenstern copula function. Three estimate methods (maximum likelihood estimation, Bayes estimator, kernel density estimation) are used to estimate the reliability for $$\delta =P(X

Keywords: Stress strength model; Copula function; Parameter estimation; Kernel density estimation; FFPUHCS (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13198-024-02571-w

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