The Odd Log-Logistic Power Series Family of Distributions: Properties and Applications

Abstract

A new family of continuous distributions obtained by compounding the odd log-logistic and power series distributions is introduced. The mathematical properties of the proposed family are discussed. The estimation of the parameters is considered by the maximum likelihood method. In order to assess the finite sample performance of maximum likelihood estimators, simulation studies are performed. Finally, the potentiality of the family is illustrated by means of applications to two real data sets.

Keywords

• estimation
• odd log-logistic family of distributions
• power series distribution
• sensitivity analysis