The Odd Lindley-G Family of Distributions

  • Frank S. Gomes-Silva Federal Rural University of Pernambuco
  • Ana Percontini State University of Feira de Santana
  • Edleide de Brito Federal University of Bahia
  • Manoel W. Ramos Federal Institute of Para\'iba
  • Ronaldo Venâncio Recife Military School
  • Gauss Moutinho Cordeiro Federal University of Pernambuco

Abstract

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.

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Author Biographies

Frank S. Gomes-Silva, Federal Rural University of Pernambuco

Department of Statistics and Informatics

Ana Percontini, State University of Feira de Santana
Department of Mathematics
Edleide de Brito, Federal University of Bahia
Department of Statistics
Manoel W. Ramos, Federal Institute of Para\'iba
Department of Mathematics
Ronaldo Venâncio, Recife Military School
Department of Mathematics
Gauss Moutinho Cordeiro, Federal University of Pernambuco
Department of Statistics
Published
2017-01-04
How to Cite
Gomes-Silva, F. S., Percontini, A., Brito, E. de, Ramos, M. W., Venâncio, R., & Cordeiro, G. M. (2017). The Odd Lindley-G Family of Distributions. Austrian Journal of Statistics, 46(1), 65-87. https://doi.org/10.17713/ajs.v46i1.222
Section
Articles