The Odd Lindley-G Family of Distributions

We propose a new generator of continuous distributions with one extra positive parameter called the odd Lindley-G family. Some special cases are presented. The new density function can be expressed as a linear combination of exponentiated densities based on the same baseline distribution. Various st...

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Bibliographic Details
Published in:	Österreichische Zeitschrift für Statistik Vol. 46; no. 1; pp. 65 - 87
Main Authors:	Gomes-Silva, Frank S., Percontini, Ana, Brito, Edleide de, Ramos, Manoel W., Venâncio, Ronaldo, Cordeiro, Gauss Moutinho
Format:	Journal Article
Language:	English
Published:	Austrian Statistical Society 04-01-2017
Online Access:	Get full text
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Summary:	We propose a new generator of continuous distributions with one extra positive parameter called the odd Lindley-G family. Some special cases are presented. The new density function can be expressed as a linear combination of exponentiated densities based on the same baseline distribution. Various structural properties of the new family, which hold for any baseline model, are derived including explicit expressions for the quantile function, ordinary and incomplete moments, generating function, Renyi entropy, reliability, order statistics and their moments and k upper record values. We discuss estimation of the model parameters by maximum likelihood and provide an application to a real data set.
ISSN:	1026-597X
DOI:	10.17713/ajs.v46i1.222