A New Odd Log-Logistic Lindley Distribution with Properties and Applications

Morad Alizadeh (), Emrah Altun (), Gamze Ozel (), Mahmoud Afshari () and Abbas Eftekharian ()
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Morad Alizadeh: Persian Gulf University
Emrah Altun: Bartin University
Gamze Ozel: Hacettepe University
Mahmoud Afshari: Persian Gulf University
Abbas Eftekharian: University of Hormozgan

Sankhya A: The Indian Journal of Statistics, 2019, vol. 81, issue 2, No 3, 323-346

Abstract: Abstract In this paper, a new three-parameter lifetime model, called the new odd log-logistic Lindley (NOLL-L) distribution, is introduced. Some structural properties of the new distribution including ordinary and incomplete moments, quantile and generating functions and order statistics are obtained. The new density function can be expressed as a linear mixture of exponentiated Lindley densities. The different methods are discussed to estimate the model parameters and a simulation study is done to show the performance of the new distribution. The importance and flexibility of the new model are also illustrated empirically by means of two real data sets.

Keywords: Lindley distribution; Odd log-logistic generalized family; Moments; Monte-Carlo simulation study; Primary: 62E15; Secondary: 60E05 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13171-018-0142-x

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