Journal of Statistics Applications & Probability

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The term “stress- strength reliability” when it appears in statistical literature typically refers to the quantity𝑃(𝑋>𝑌), where a system with random strength X is subjected to a random strength Y such that a system fails, if the stress exceeds the strength. Stress –Strength reliability is considered in this paper where the strength follows finite mixture of two parameter Lindley distribution and stress follows exponential, Lindley distribution and mixture of two parameter Lindley distribution. The general expressions for the reliabilities of a system are obtained. Estimates of parameters are obtained by maximum likelihood estimation method. For different values of stress and strength parameters, reliability has been obtained. Special cases are also discussed.

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