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Estimation of stress-strength reliability from truncated type-I generalised logistic distribution

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  • G. Srinivasa Rao

Abstract

In this paper, we are mainly interested in estimating the stress-strength reliability R = P(Y < X) when X and Y are two independent truncated type-I generalised logistic distributions with different shape parameters but having the same scale parameters. The model arises from type-I generalised logistic distribution truncated at zero, because lifetime data is always non-negative. Assuming that the common scale parameter is known, the maximum likelihood estimators of the parameters are developed and an asymptotic confidence interval for R is obtained. Extensive simulation studies are carried out to investigate the performance of these intervals. Using real data we illustrate the procedure.

Suggested Citation

  • G. Srinivasa Rao, 2015. "Estimation of stress-strength reliability from truncated type-I generalised logistic distribution," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 7(4), pages 372-382.
    • Handle: RePEc:ids:ijmore:v:7:y:2015:i:4:p:372-382
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