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Order k Version of the Alternative Hyper-Poisson Distribution
-
C. Satheesh Kumar
and
B. Unnikrishnan Nair
Published/Copyright:
January 10, 2014
Abstract
In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distribution by various methods of estimation is also considered and demonstrated with the help of a real data set.
Keywords: Confluent hypergeometric series; Displaced Poisson; distribution; Factorial moments; Poisson distribution of order k; Probability generating function
Received: 2013-4-20
Published Online: 2014-1-10
Published in Print: 2013-12-1
©2014 Walter de Gruyter Berlin/Boston
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Keywords for this article
Confluent hypergeometric series;
Displaced Poisson;
distribution;
Factorial moments;
Poisson distribution of order k;
Probability generating function
Articles in the same Issue
- Frontmatter
- Assessment of Traditional Demerits and a New Ordinal Alternative
- Acceptance Sampling Plans Under Truncated Life Tests Assuming a Half Exponential Power Life Distribution
- Comparison of Lower Bounds for the Variance of Unbiased Estimators for some Well-known Families of Distributions
- Order k Version of the Alternative Hyper-Poisson Distribution
- Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications
- X̅ Charts with Variable Control and Warning Limits
- Transmuted Generalized Inverted Exponential Distribution
- Selection of modified quick switching systems for given acceptable and limiting quality levels with minimum risks using weighted poisson distribution
- Multivariate Process Capability Index: A Review and Some Results
- Selection of Bayesian Single Sampling Plans by Attributes with Desired Discrimination
