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

G. Srinivasa Rao

International Journal of Mathematics in Operational Research, 2015, vol. 7, issue 4, 372-382

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.

Keywords: truncated type-I generalised logistic distribution; TTGLD; asymptotic confidence intervals; strength-stress models; simulation; stress-strength reliability. (search for similar items in EconPapers)
Date: 2015
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