Erlang–Lindley distribution

M. M. E. Abd El-Monsef, W. A. Hassanein and N. M. Kilany

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 19, 9494-9506

Abstract: In this paper, Erlang–Lindley distribution (ErLD) is proposed which offers a more flexible model for waiting time data. It has the property that it can accommodate increasing, bathtub, and inverted bathtub shapes. Several statistical and reliability properties are derived and studied. The moments, its associated measures, and the limiting distributions of order statistics are derived. The model parameters are estimated by maximum likelihood and method of moments. An application of the proposed distribution to some waiting time data shows that it can give a better fit than other important lifetime models.

Date: 2017
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DOI: 10.1080/03610926.2016.1212069

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