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This paper deals with the study of the reliability of multicomponent stress–strength model assuming that the strength components are independently and identically distributed as power transformed half-logistic (PHL) distribution. The strength components which are subject to a common stress are assumed to be independent with either Weibull distribution or PHL distribution. The maximum likelihood estimates of the multicomponent stress–strength reliability and its asymptotic confidence interval under the above said conditions are obtained. The Bayes estimates of the multicomponent stress–strength reliability are also obtained under squared error loss function and using gamma priors for the parameters. To evaluate the performance of the procedure, a simulation study is considered. For illustration purpose of the proposed model, two real life examples are given.

An additive power‐transformed half‐logistic distribution is proposed to model lifetime data having bathtub‐shaped hazard rate function. The model is derived as the sum of hazard rates of two independently distributed power transformed half‐logistic distributions. Some properties of the model like shapes of hazard function, quantile function, mean time between failure (MTBF), probability of failure due to early birth defect and due to ageing are discussed. The graphical estimation technique based on probability plotting procedure is demonstrated to be useful in estimating the parameters of this model. The method of maximum likelihood estimation is discussed for estimating the model parameters and simulation study is considered to show the performance of the estimates. Finally the usefulness of the developed distribution is illustrated by applying it to two real life datasets from engineering reliability.