An additive power-transformed half-logistic model and its applications in reliability

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Research Article

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Quality and Reliability Engineering International


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.

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