Author:
Block Henry W.,Savits Thomas H.,Langberg Naftali A.
Abstract
In this paper, we continue our investigation of the shape of the failure rate of a mixture of two densities. In our recent paper, Block, Langberg and Savits [2], we introduced a variation of Glaser's method in which we emphasized the role of the mixing parameter q. There we determined all possible shapes of the failure rate function for a mixture of one exponential and one gamma density. Here we classify all possible shapes for a mixture of two gamma densities having shape parameters b, c>0 and scale parameters λ, μ>0.
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Cited by
2 articles.
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1. Some properties of the failure rate function for mixtures of Erlang distributions;Communications in Statistics - Theory and Methods;2020-12-12
2. Gompertz-Lindley distribution and associated inference;Communications in Statistics - Simulation and Computation;2019-12-09