The Odd Lindley-G Family of Distributions

By F. Gomes-Silva, Ana Percontini, E. Brito, Manoel Wallace A. Ramos, R. Venàncio, Gauss Moutinho Cordeiro. 2017

131 citations recorded by the source corpus.

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.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/be07f06c05420d69ae2124a8f7cebdccf8ec81a7

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In Global and Planetary Change

In Statistics and Probability

Citations in the corpus

The Exponentiated Generalized-G Poisson Family of Distributions (2017, background): “…by Afify et al. (2016b), beta transmuted-H by Afify et al. (2016c), Burr X-G by Yousof et al. (2016), the odd Lindley-G family of distributions by Silva et al. (2016), exponentiated transmuted-G family by Merovci et al. (2016), the odd-Burr generalized family by Alizadeh et al. (2016a), the…”
The Odd Power Lindley Generator of Probability Distributions: Properties, Characterizations and Regression Modeling (2019, methodology): “For α = 1, the OL-Weibull (OLW) distribution (Silva et al., 2017) is obtained.”