The Odd Lindley-G Family of Distributions

Austrian Journal of Statistics

article

Frank S. Gomes-Silva¹  Ana Percontini²  Edleide de Brito³  Manoel W. Ramos⁴  Ronaldo Venâncio⁵  Gauss Moutinho Cordeiro¹ 

[1] Federal Rural University of Pernambuco;State University of Feira de Santana;Federal University of Bahia;FFederal Institute of Para´ıba;Recife Military School

关键词: estimation;    Lindley distribution;    generating function;    odd Lindley-G distribution;    k upper record values;    moment;    Monte Carlo simulation.;   

DOI  :  10.17713/ajs.v46i1.222

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

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.

【 授权许可】

CC BY