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Paper Title
EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL
Authors
Monica S , Kavitha s
Keywords
New Generalization of Rayleigh Distribution, Exponentiated G Poisson Model, Probability Weighted Moments (PWM), Order Statistics, Maximum Likely-hood Estimation
Abstract
The Exponentiated non-negative Rayleigh Poisson distribution is introduced in this research
work by combining A new generalization of Rayleigh distribution; characteristics and
applications with The Exponentiated G Poisson model. This study's primary goal is to use the
power transformation technique to increase the Exponentiated G. Poisson distribution's
flexibility. The new proposed model's probability density function, survival function, and hazard
function are shown graphically. We examine this new distribution's characteristics, paying
particular attention to its moments, skewness, kurtosis, mode, and quantile function. The
probability-weighted moments, order statistics, R'enyi, entropies, and the residual life function
have all been covered. We computed the log-likelihood, Bayesian, Akaike, and corrected Akaike
information criteria and Hennan-Quinn information criteria of the following distributions: the
newly proposed Exponentiated Rayleigh Poisson distribution, the Compound Rayleigh
distribution, the Exponentiated Chen distribution, the Exponentiated Exponential distribution, the
Exponentiated Inverted Weibull distribution, and the Generalized Rayleigh distribution. We
discovered that the newly proposed model has smaller values than the others. For model
validation, we have examined the TTT plot, Q-Q plot, Kolmogorov Smirnov test, and P-P plot of
the suggested distribution. We contrasted the proposed model's estimated distributed function
CDF and empirical distribution CDF with those of five other models. For illustrative purposes,
an actual dataset is examined. By using various methods and resources, the new family's
significance and adaptability are demonstrated. The paper is concluded with a final conclusion.
Full Paper, Downloads & Preview
How To Cite
Choose the style your journal or department asks for, then copy it. Every version below is generated from this paper's own record.
IJCRT — journal style
"EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL", IJCRT - International Journal of Creative Research Thoughts (www.ijcrt.org), ISSN:2320-2882, Vol.13, Issue 12, page no.e270-e280, December 2025, Available :https://ijcrt.org/papers/IJCRT2512489.pdf
APA — 7th edition
S, M., & s, K. (2025). EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL. International Journal of Creative Research Thoughts, 13(12), e270-e280. https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489
MLA — 9th edition
S, Monica, and Kavitha s. "EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL." International Journal of Creative Research Thoughts, vol. 13, no. 12, 2025, pp. e270-e280, https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489.
Chicago — 17th, bibliography
S, Monica, and Kavitha s. "EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL." International Journal of Creative Research Thoughts 13, no. 12 (2025): e270-e280. https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489.
Harvard — author–date
S, M. and s, K. (2025) 'EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL', International Journal of Creative Research Thoughts, 13(12), pp. e270-e280. Available at: https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489
IEEE — numbered reference
M. S and K. s, "EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL," IJCRT, vol. 13, no. 12, pp. e270-e280, Dec. 2025.
Vancouver — biomedical
S M, s K. EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL. IJCRT. 2025 Dec;13(12):e270-e280.
AMA — 11th edition
S M, s K. EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL. IJCRT. 2025;13(12):e270-e280. Accessed at https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489
BibTeX — Zotero, Mendeley, LaTeX
@article{IJCRT2512489,
author = {Monica S and Kavitha s},
title = {EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL},
journal = {International Journal of Creative Research Thoughts},
volume = {13},
number = {12},
pages = {e270-e280},
year = {2025},
month = {December},
issn = {2320-2882},
url = {https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489}
}
RIS — EndNote, RefWorks
TY - JOUR
AU - S, Monica
AU - s, Kavitha
TI - EXPONENTIATED NON-NEGATIVE POISSON DISTRIBUTION: APPLICATION & MODEL
T2 - International Journal of Creative Research Thoughts
JA - IJCRT
VL - 13
IS - 12
PY - 2025
SN - 2320-2882
UR - https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489
SP - e270-e280
ER -
Issue
Volume 13 Issue 12,
December-2025
Pages : e270-e280
Article Information
- Published In
- International Journal of Creative Research Thoughts — Volume 13, Issue 12, December 2025
- Pages
- e270-e280
- Published
- December 2025
- Registration ID
- IJCRT_298844
- Published Paper ID
- IJCRT2512489
- Research Area
- Science All
- Author Type
- Indian Author
- Location
- Salem, Tamil Nadu, India
- Peer Review
- Request Peer Review Report
- Licence
- CC BY 4.0 · Open Access
- ISSN & Impact Factor
- 2320-2882 · IF 9.17
- Downloads
- 184
- Permanent Link
- https://ijcrt.org/viewpaperforall.php?paper=IJCRT2512489
- Published Paper PDF
- https://ijcrt.org/papers/IJCRT2512489.pdf
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Acknowledgements
The authors would like to thank the reviewers and the editorial board of International Journal of Creative Research Thoughts for their careful reading and constructive comments, and all colleagues who supported the preparation of this manuscript.
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