Poisson-New Quadratic-Exponential Distribution

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Page Numbers: 27-45
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Published: Apr 6, 2024
Digital Object Identifier: 10.58578/mjms.v2i2.2862
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Authors:
Binod Kumar Sah1, Suresh Kumar Sahani2*
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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).

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  1. Abdullah M. Alomair, Muhammad Ahsan-ul-Haq (2025)
    A new mixed Poisson Komal distribution with application on radiation, agricultural and medical sciences data
    Journal of Radiation Research and Applied Sciences, 18(2), 101500
  2. Binod Kumar Sah, Suresh Kumar Sahani (2024)
    Generalised Poisson-new linear-exponential distribution
    Mathematical Models in Engineering, 10(4), 241
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Article Details

How to Cite
Sah, B. K., & Sahani, S. K. (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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Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

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Sah, B.K. (2013). Generalisations of Some Countable and Continuous Mixtures of Poisson Distribution and Their Applications. Doctoral thesis, Patna University, Patna, India.

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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

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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


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