Generalized X-Exponential Bathtub Shaped Failure Rate Distribution
Tóm tắt
Generalized Lindley, Generalized Gamma, Exponentiated Weibull and X-Exponential distributions are proposed for modelling lifetime data having bathtub shaped failure rate model. These distributions have several desirable properties. In this paper, we introduce a new distribution which generalizes the X-Exponential distribution. Several properties of the distribution are derived including the hazard rate function, moments, moment generating function etc. Moreover, we discussed the maximum likelihood estimation of this distribution. The usefulness of the new distribution is illustrated by means of two real data set. We hope that the new distribution will serve as an alternative model to bathtub models available in the literature.
Tài liệu tham khảo
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