A zero-inflated logarithmic series distribution of order k and its applications

Here we develop an order k version of the zero-inflated logarithmic series distribution of Kumar and Riyaz [Staistica (accepted for publication), 2013b ] through its probability generating function, and derive an expression for its probability mass function. Certain recurrence relation for its proba...

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Bibliographic Details
Published in:Advances in statistical analysis : AStA : a journal of the German Statistical Society 2015-01, Vol.99 (1), p.31-43
Main Authors: Satheesh Kumar, C., Riyaz, A.
Format: Article
Language:English
Subjects:
Econometrics
Economics
Finance
Insurance
Management
Mathematics and Statistics
Original Paper
Probability Theory and Stochastic Processes
Statistics
Statistics for Business
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Summary:Here we develop an order k version of the zero-inflated logarithmic series distribution of Kumar and Riyaz [Staistica (accepted for publication), 2013b ] through its probability generating function, and derive an expression for its probability mass function. Certain recurrence relation for its probabilities, raw moments and factorial moments are also obtained, and the maximum likelihood estimation of its parameters is discussed. We have tested the significance of the additional parameters of the distribution by generalized likelihood ratio test and illustrated all these procedures using certain real-life data sets.
ISSN:1863-8171
1863-818X
DOI:10.1007/s10182-014-0229-1