Poisson-New Quadratic-Exponential Distribution

Page Numbers: 27-45
Published
2024-04-06
Digital Object Identifier: 10.58578/mjms.v2i2.2862
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  • Binod Kumar Sah R.R.M. Campus, Janakpur Dham, Tribhuvan University, Nepal
  • Suresh Kumar Sahani MIT Campus, Janakpur Dham, Nepal

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).

Keywords: Probability distribution; Poisson-Lindley distribution; Modified Mishra distribution; New Quadratic-Exponential distribution; Moments; Estimation; Mixing

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How to Cite
Sah, B. K., & Sahani, S. (2024). Poisson-New Quadratic-Exponential Distribution. Mikailalsys Journal of Mathematics and Statistics, 2(2), 27-45. https://doi.org/10.58578/mjms.v2i2.2862
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Vol 2 No 2 (2024): Mikailalsys Journal of Mathematics and Statistics
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Articles

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