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The TTT transformation and a new bathtub distribution model. (English) Zbl 0900.62537

Summary: We use the total time on test transformation to establish a method for construction of parametric models of lifetime distributions having bathtub-shaped failure rate. We study a particular model which is simple compared to the other existing models. We derive expressions for moments and quantiles and treat estimation methods. Particularly, the maximum likelihood method is studied. Consistency proofs are given.

MSC:

62N05 Reliability and life testing
62A01 Foundations and philosophical topics in statistics
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