Weighted Linear Failure Rate Distribution: Properties, Regression Model, and Applications

Abstract In this paper, an extension of the linear failure rate distribution is proposed, called the weighted linear failure rate distribution. This class is a generalization of the two-parameter linear failure rate distribution as well as some other lifetime distributions. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. Different properties of this new distribution and the inference of the old parameters are discussed, the skewness parameter is examined, and some well-known lifetime distributions are introduced as special sub models. Finally, an application using various types of data is presented to demonstrate the flexibility of this distribution and for illustrative purposes.