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Binomial Poisson Distribution Revisited
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C. Satheesh Kumar
Published/Copyright:
July 20, 2010
Abstract
In this paper we establish certain recurrence relations for probabilities, raw moments and factorial moments of the three parameter binomial-Poisson distribution (BPD). The well-known extended Poisson distribution of order k is obtained as limiting case of BPD.
Keywords.: Extended Poisson distribution of order k; factorial moments; probability generating function
Received: 2010-04-17
Published Online: 2010-07-20
Published in Print: 2010-December
© de Gruyter 2010
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Keywords for this article
Extended Poisson distribution of order k;
factorial moments;
probability generating function
Articles in the same Issue
- Editorial
- Acceptance Sampling Plans from Truncated Life Tests Based on the Log-Logistic Distributions for Percentiles
- Book Review: Generalized Gaussian Error Calculus by Dr. rer. nat. Michael Grabe
- On the Robustness of Reliability Characteristic of Alpha-Distributed Lifetimes
- Binomial Poisson Distribution Revisited
- Empirical Evaluation of Stochastikon Magister
- Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers
- Analysis of a Complex System Modelled by a Marked Point Process and Assuming Vacations for a Repairman
- Optimal Replacement Policy Based on the Number of Down Times with Priority in Use
- Median Inactivity Time Function and its Reliability Properties
- Statistical Inference on Software Reliability Assuming Exponential Fault Correction Time
- On Testing Exponentiality Against DMRL Alternatives
- Designing Single Sampling Plans by Variables Using Predictive Distribution
