Abstract
This paper proposes a two-parameter Poisson- Akash distribution which includes Poisson-Akash distribution as a special case. Its moments and moments based measures have been derived and studied. Statistical properties including hazard rate function, unimodality and generating functions have been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameters of the distribution. Finally, applications of the proposed distribution have been explained through two count datasets from biological sciences and compared with other discrete distributions.
Original language | English |
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Pages (from-to) | 114-123 |
Number of pages | 10 |
Journal | International Journal of Probability and Statistics |
Volume | 7 |
Issue number | 4 |
DOIs | |
Publication status | Published - 29 Jun 2018 |
Keywords
- Poisson- Akash distribution
- Compounding
- Moments
- Skewness
- Kurtosis
- Maximum likelihood estimation
- Applications
- Two-parameter Akash distribution