Authors

• C. Satheesh Kumar
• A. Riyaz

Abstract

Through this paper we suggest an alternative form of the modified zero-inflated logarithmic series distribution of Kumar and Riyaz (Statistica, 2013) and study some of its important aspects. The method of maximum likelihood is employed for estimating the parameters of the distribution and certain test procedures are considered for testing the significance of the additional parameter of the model. Further, all the procedures are illustrated with the help of two real life data sets.

Keywords

• Generalized likelihood ratio test
• logarithmic series distribution
• Maximum likelihood estimation
• probability generating function
• Rao’s score test