A Modified Version of Logarithmic Series Distribution and Its Applications

Abstract

In this article, we consider a modified version of logarithmic series distribution and study some of its properties. The maximum likelihood estimation of the parameters of the modified distribution is discussed and the distribution has been fitted to certain real life data sets. Tests are also carried out for justifying the significance of the additional parameter of the modified distribution.

Keywords:

• Gegenbauer distribution
• Generalized Gegenbauer distribution
• Maximum likelihood estimation
• Probability generating function

Mathematics Subject Classification:

• 60E05
• 60E10

Acknowledgments

The authors are grateful to the Chief Editor, the Associate Editor, and both anonymous referees for their valuable comments on an earlier version which helped to greatly improve the quality of this article.