Hudaverdi, Burcu; Susam, Selim Orhun; Chesneau, Christophe

In this paper, we construct conditional reliability in the context of stress-strength models, taking into account the relationship between applied stress and strength. The Bernstein copula approximation is used to calculate the conditional reliability values. Real data from a rocket motor experiment are considered to evaluate the conditional reliability strength of a motor case and the required stress endurance for the motor.

AtıfScopus4·WoS5·OpenAlex5

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Hudaverdi, Burcu; Susam, Selim Orhun

In this paper, we consider the stress-strength reliability (Formula presented.) where the strength Y of a component lies between the dependent stress variables (Formula presented.) and (Formula presented.). We propose a copula-based approach for stress-strength reliability having bivariate stress. We obtain R for Farlie-Gumbel-Morgenstern copula with Burr III marginals. Also, we propose a Bernstein copula approximation for evaluating R under the stress-strength setup. We present empirical and maximum likelihood-based estimation procedures and compare their performances by Monte Carlo simulation. We apply the proposed approach to chemical and overt diabetes data for illustration purpose.

AtıfScopus12·WoS12·OpenAlex11

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