The Beta-Lindley Distribution: Properties and Applications | Zendy

Faton Merovci | Zendy; Vikas Kumar Sharma | Zendy

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The Beta-Lindley Distribution: Properties and Applications

Author(s) -

Faton Merovci,

Vikas Kumar Sharma

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/198951

Subject(s) - beta distribution , moment (physics) , distribution (mathematics) , moment generating function , mathematics , beta binomial distribution , function (biology) , bayesian probability , distribution function , beta (programming language) , computer science , statistical physics , probability density function , statistics , mathematical analysis , physics , negative binomial distribution , classical mechanics , quantum mechanics , evolutionary biology , poisson distribution , biology , programming language

We introduce the new continuous distribution, the so-called beta-Lindley distribution that extends the Lindley distribution. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment thus, generalizing some results in the literature. Expressions for the density, moment generating function, and rth moment of the order statistics also are obtained. Further, we also discuss estimation of the unknown model parameters in both classical and Bayesian setup. The usefulness of the new model is illustrated by means of two real data sets. We hope that the new distribution proposed here will serve as an alternative model to other models available in the literature for modelling positive real data in many areas

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