Keywords:-

Keywords: Weighted distribution, Fuyi distribution, Goodness of fit, Maximum likelihood estimation, Reliability analysis, Order Statistics, Moment generating function, Renyi entropy.

Article Content:-

Abstract

In this study, a one-parameter fuyi distribution was found to extend this further and continue my new study; a weighted model is given for this one-parameter fuyi distribution. This is called a new weighted fuyi distribution. Statistical properties of the weighted fuyi distribution (WD), including probability density function (PDF) and cumulative distribution function (CDF), Reliability analysis, Order statistics, Moment generating function and Entropies. The goodness-of-fit of the distribution on the new version shows its better fit to the data.

References:-

References

Aderoju, S. (2021). Samade probability distribution its Properties and Application to real lifetime data. Asian Journal of Probability and Statistics, 14(1), 1-11. https://doi.org/10.9734/ajpas/2021/v14i130317.

Aijaz, A., Jallal, M., Ain, S. Q. U., & Tripathi, R. (2020). The Hamza distribution with statistical properties and applications. Asian Journal of Probability and Statistics, 8(1), 28-42.

https://doi.org/10.9734/ajpas/2020/v8i130198.

Arcagni, A., & Porro, F. (2014). The graphical representation of inequality. Revista ColombianadeEstadistica,37(2),419-436. https://doi.org/10.15446/rce.v37n2spe.47947.

Elechi, O., Okereke, E. W., Chukwudi, I. H., Chizoba, K. L., & Wale, O. T. (2022). Iwueze’s distribution and its application. Journal of Applied Mathematics and Physics, 10(12), Article 12.

https://doi.org/10.4236/jamp.2022.1012251.

Shukla, K. K. (2018a). Prakaamy distribution with properties and applications. Journal of Applied Quantitative Methods, 13(3), 30-38.

Shukla, K. K. (2018b). Ram Awadh distribution with properties and applications. Biometrics & Biostatistics International Journal, 7(6), 515-523.

https://doi.org/10.15406/bbij.2018.07.00254.

Umeh, E., & Ibenegbu, A. (2019). A two-parameter Pranav distribution with properties and its application. Journal of Biostatistics and Epidemiology, 5(1), 74-90. https://doi.org/10.18502/jbe.v5i1.1909.

Odom cc, Ijomah MA. Odoma distribution and its application. Asian Journal of

Probabilityandstatistics.2019;4(1):1-11. https://doi.org/10.9734/AJPAS/2019/V41130103.

Uwaeme, O. R., Akpan, N.P., & Orumie, U. C (2023). The Copoun distribution and its mathematical properties. Asian Journal of Probability and Statistics, 24(1), 37-44.

https://doi.org/10.9734/ajpas/2023/v24i1516.

Uwaeme, O. R., & Akpan, N.P. (2024). The Remkan distribution and its applications. Asian J. Prob. Stat., 26(1), 13-24.

https://doi.org/10.9734/ajpas/2024/v26i1577.

Ahmad, A., Ahmad, S. P., and Ahmed, A. (2016). Length-Biased weighted Lomax distribution: Statistical properties and applications, Pak.j.Stat.Oper.res, vol.xii no. 2, pp 245-255.

Gaddum, J. Lognormal Distributions. Nature 156, 463-466 (1945). https://doi.org/10.1038/156463a0

Onyekwere, C.K., Okoro, C.N., Obulezi, O.J., Udofia, E.M., & Anabike, I.C. (2022). Modification of Shanker Distribution using quadratic rank transmutation map. Journal of Xidian University, 16(8), 179-198.

Okpala, I.F., Obiora-Ilouno, H.O., Omoruyi, F.A. (2023) Inverse Hamza Distribution and Its Application to Lifetime Data. Asian Journal of Probability And Statistics.

Shanker, R. and Shukla, K.K. (2016): Weighted Akash distribution and Its Application to model lifetime data, International Journal of Statistics, 39 (2), 1138 – 1147.

Para, B. A., & Jan T. R., (2018), On Three Parameter Weighted Pareto Type II Distribution: Properties and Applications in Medical Sciences. Applied Mathematics & Information Sciences Letters, 6(1),13-26.

Shanker, R & Shukla, K. K., (2018), A Quasi Aradhana distribution with Properties and Applications, International Journal of Statistics and systems, vol-13, issue-1, pp 61-80.

Rather, A. A. and Subramanian, C. (2019), On Weighted Sushila Distribution with Properties and its Applications, International Journal of Scientific Research in Mathematical and Statistical Sciences, vol-6, Issue.1,pp.105-117.

Downloads

Citation Tools

How to Cite
Anu, O., & Pandiyan, P. (2025). A New Weighted Fuyi Distribution And its Application to the Cancer data. International Journal Of Mathematics And Computer Research, 13(7), 5443-5449. https://doi.org/10.47191/ijmcr/v13i7.13