On some aspects of a generalized alternative zero-inflated logarithmic series distribution

ABSTRACT

Here, we consider a generalized form of the alternative zero-inflated logarithmic series distribution of Kumar and Riyaz (J. Statist. Comp. Simul., 2015) and study some of its important aspects. The parameters of the distribution are estimated by the method of maximum likelihood and some test procedures are developed for testing the significance of the additional parameter of the model. All these estimation and testing procedures are illustrated with the help of certain real life datasets. A simulation study is also carried out for assessing the performance of the estimators.

KEYWORDS:

• Alternative zero-Inflated logarithmic series distribution
• Generalized likelihood ratio test
• Probability generating function
• Rao's score test
• Simulation

Mathmeamtics Subject Classification:

• Primary 60E05, 60E10
• Secondary 33C20

Acknowledgments

The authors are highly thankful to the Editor, the Associate Editor, and both the anonymous referees for several fruitful suggestions, which immensely helped to improve the quality of the article.