A comparison study on a new five-parameter generalized Lindley distribution with its sub-models

Tharshan Ramajeyam () and Wijekoon Pushpakanthie ()
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Tharshan Ramajeyam: Postgraduate Institute of Science, University of Peradeniya, Peradeniya, Sri Lanka .
Wijekoon Pushpakanthie: Department of Statistics and Computer Science, University of Peradeniya, Peradeniya, Sri Lanka .

Statistics in Transition New Series, 2020, vol. 21, issue 2, 89-117

Abstract: In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and gamma distributions with different mixing proportions and compare its performance with its sub-models. The new distribution accommodates the classical Lindley, Quasi Lindley, Two-parameter Lindley, Shanker, Lindley distribution with location parameter, and Three-parameter Lindley distributions as special cases. Various structural properties of the new distribution are discussed and the size-biased and the length-biased are derived. A simulation study is conducted to examine the mean square error for the parameters by means of the method of maximum likelihood. Finally, simulation studies and some real-world data sets are used to illustrate its flexibility in terms of its location, scale and shape parameters.

Keywords: Lindley distribution; mixture distributions; size-biased distributions; maximum likelihood estimation. (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:21:y:2020:i:2:p:89-117:n:10

DOI: 10.21307/stattrans-2020-015

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