Poisson-New Quadratic-Exponential Distribution
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Abstract
This proposed distribution is a discrete compound probability distribution with only one parameter. To get this distribution, Poisson distribution has been mixed with the New Quadratic-Exponential distribution of Sah (2022). Hence, it is named as “Poisson-New Quadratic-Exponential Exponential Distribution (PNLED)”. The important statistical characteristics needed to check the validity of this distribution have been derived and clearly explained. To check the validity of the theoretical works of this distribution, while using goodness of fit on some over-dispersed count data, what we have been found that this distribution seems a better alternative of Poisson-Lindley distribution (PLD) of Sankaran (1970), Poisson Mishra distribution (PMD) of Sah (2017) and Poisson-Modified Mishra distribution (PMMD) of Sah and Sahani (2023).
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References
Beall, G. (1940). The fit and significance of contagious distribution when applied to observations on larval insects. Ecology, 21, 460-474.
Catcheside DG, Lea DE, Thoday JM (1946 b). The Production of chromosome structural changes in Tradescantia microspores in relation to dosage, intensity and temperature. J Genet, 47: 137-149.
Garman, P (1923). The European red mites in Connecticut apple orchards. Connecticut Agri. Exper. Station Bull, 252, 103-125.
https://doi.org/10.5962/bhl.title.51017
Ghitany, M.E. and Al-Mutairi, D.K. (2009): Estimation Methods for Discrete Poisson-Lindley distribution. J. Stat.Compt. Simul, 79 (1), 1-9
Kemp, C.D. and Kemp, A.W. (1965). Some properties of the Hermite distribution. Biometrika, 52, 381-394.
Lindley, D.V. (1958). Fiducial distributions and Bayes theorem, Journal of Royal Statistical Society. B, 20 ,102-107.
Sankaran, M. (1970). The discrete Poisson-Lindley distribution. Biometrics, 26,145-
Sah, B.K. (2013). Generalisations of Some Countable and Continuous Mixtures of Poisson Distribution and Their Applications. Doctoral thesis, Patna University, Patna, India.
Sah, B.K. (2015). Mishra Distribution. International Journal of Mathematics and Statistics Invention (IJMSI), Volume 3(8), PP- 14-17.
Sah, B.K. (2017). Poisson-Mishra Distribution. International Journal of Mathematics and Statistics Invention (IJMSI), Volume 5(3), PP- 25-30.
Sah, B.K. (2018). A Generalised Poisson-Mishra Distribution. Nepalese Journal of Statistics, Volume 2, PP- 27-36. DOI: https://doi.org/10.3126/njs.v2i0.21153
Sah, B.K. (2022). Modified Mishra Distribution. The mathematics Education, Volume-56(2), PP- 1-17. DOI: https://doi.org/10.5281/zenodo.7024719
Sah, B.K. and Sahani, S. K. (2022). Poisson-Modified Mishra Distribution. Jilin Daxue Xuebao (Gongxueban) Journal of Jilin University (Engineering and Technology Edition), Volume-42(1), DOI: 10.17605/OSF.IO/K5A7M
Sah, B.K. (2022). Quadratic-Exponential Distribution. The mathematics Education, Volume-56(1), PP-1-17. DOI: https://doi.org/10.5281/zenodo.6381529
Sah, B.K. and Sahani, S. K. (2022). New Quadratic-Exponential Distribution. Journal of Pharmaceutical Negative Results, Volume-13(4), PP-2338-2351. DOI: https://doi.org/10.47750/pnr.2022.13.S04.289