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Research Article Volume 14 Issue 1
The Poisson compound of Komal distribution with statistical properties and applications
Rama Shanker, Riki Tabassum, Ipshita Sarma, Priyakshi Saikia
Department of Statistics, Assam University, Silchar, Assam, India
Received: April 17, 2025 | Published: May 2, 2025
Citation: Shanker R, Tabassum R, Sarma I, et al. The Poisson compound of Komal distribution with statistical properties and applications. Biom Biostat Int J. 2025;14(1):35-43. DOI: 10.15406/bbij.2025.14.00432
Abstract
The Poisson-Komal distribution is derived by compounding the Poisson distribution with the Komal distribution. The distribution has a tendency to accommodate the right tail and tends to zero at faster rate. A general expression for the r th factorial moment about origin of Poisson-Komal distribution has been obtained and hence its first four moments about origin and central moments have been derived. The proposed distribution is unimodal, has increasing hazard rate and over-dispersed. Various descriptive measures based on moments have been studied. Some interesting and useful statistical properties including unimodality and increasing hazard rate have been discussed. A simulation study has been done to test the performance of maximum likelihood estimates. Finally, the goodness of fit of the proposed distribution and its comparison with other one parameter over-dispersed discrete distributions including Poisson-Lindley distribution and Poisson-Garima distribution on two datasets from biological sciences are discussed and presented. The result shows that the proposed distribution provides greater flexibility in modeling real over-dispersed count data.
Keywords: komal distribution, compounding, moments, statistical properties, maximum likelihood estimation, simulation, goodness of fit
©2025 Shanker, et al. This is an open access article distributed under the terms of the, which permits unrestricted use, distribution, and build upon your work non-commercially.
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