An order version of the alternative zero-inflated logarithmic series distribution and its applications

C. Satheesh Kumar and A. Riyaz

Journal of Applied Statistics, 2016, vol. 43, issue 14, 2681-2695

Abstract: Here we introduce an order $ k $ k version of the alternative zero-inflated logarithmic series distribution of Kumar and Riyaz [14] and investigate some of its important properties by deriving an expression for its probability mass function, recurrence relations for its probabilities, raw moments and factorial moments. We discuss the estimation of the parameters of the distribution by the method of maximum likelihood. Certain test procedures are developed for testing the significance of the additional parameters of the model. All these procedures discussed in the paper are illustrated with the help of real life data sets. A simulation study is also considered for assessing the performance of the estimators.

Date: 2016
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DOI: 10.1080/02664763.2016.1142949

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