Abstract
We introduce a new two-parameter lifetime distribution obtained by compounding the generalized exponential and exponential distributions. We assume that the shape parameter of the generalized exponential distribution is a random variable having the exponential distribution. The shapes of the density and hazard rate functions are derived. The model parameters are estimated by maximum likelihood, and an application of the proposed distribution is presented.
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Popović, B.V., Ristić, M.M. & Cordeiro, G.M. A Two-Parameter Distribution Obtained by Compounding the Generalized Exponential and Exponential Distributions. Mediterr. J. Math. 13, 2935–2949 (2016). https://doi.org/10.1007/s00009-015-0665-5
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DOI: https://doi.org/10.1007/s00009-015-0665-5