ARCSINE RAYLIEGH PARETO DISTRIBUTION: PROPERTIES AND APPLICATION TO CARBON FIBERS DATA SETS

Authors

  • Usman Abubakar
  • Abdulhameed Ado Osi
  • Iliyasu Abubakar Salisu
  • Hassan Muhammad
  • Yusuf Ibrahim Muhammad
  • Abbas Abubakar

Keywords:

Arcsine Rayliegh Pareto distribution, Properties, Maximum likelihood estimation, Application

Abstract

In this paper, we introduce a new modified distribution called arcsine Rayliegh Pareto (ASRP) Distribution. We derived its mathematical and statistical properties, including survival function, hazard function, entropy, moment, moment generating function, and order statistics. We also used maximum likelihood estimation for estimating the parameters of the distribution. The plots of the cdf, pdf, hazard rate function, and survival function were illustrated with right skewed probability density function, cumulative distribution function with monotone increasing function, which converge at one. The value of some goodness of fit measure (i.e. AIC, AICc, and BIC) were computed, as well as the KS, A, and W statistic. Finally, we suggested that the new modified model outperform better than the other standard distribution using Carbon fibers data sets.

Dimensions

Abubakar, U., Osi, A. A., Shuaibu, A., Abubakar, A., Salisu, I. A., and Muhammad, Y. I. (2024). Truncated exponential log-topp-leone generalized family of distributions: properties and application to real data sets. International Journal of Research and technopreneural innovation, 1(1):147–162.

Ahmad, Z., Mahmoudi, E., Roozegarz, R., Hamedani, G., and Butt, N. S. (2022). Contributions towards new families of distributions: An investigation, further developments, characterizations and comparative study. Pakistan Journal of Statistics and Operation Research, pages 99–120.

Al-Babtain, A. A., Elbatal, I., Chesneau, C., and Elgarhy, M. (2020). Sine topp-leone-g family of distributions: Theory and applications. Open Physics, 18(1):574–593.

Al-Kadim, K. A. and Mohammed, B. D. (2018). Rayleigh pareto distribution. Journal of University of Babylon for Pure and Applied Sciences, 26(1):84–95.

Aryal, G. R., Ortega, E. M., Hamedani, G., and Yousof, H. M. (2017). The topp-leone generated weibull distribution: regression model, characterizations and applications. International Journal of Statistics and Probability, 6(1):126–141.

Benatmane, C., Zeghdoudi, H., Shanker, R., and Lazri, N. (2021). Composite rayleigh-pareto distribution: Application to real fire insurance losses data set. Journal of Statistics and Management Systems, 24(3):545–557.

Emam, W. and Tashkandy, Y. (2022). The arcsine kumaraswamy-generalized family: Bayesian and classical estimates and application. Symmetry, 14(11):2311.

Nadarajah, S. (2005). Exponentiated pareto distributions. Statistics, 39(3):255–260.

Nanga, S., Nasiru, S., and Dioggban, J. (2022). Tangent topp-leone family of distributions. Scientific African, 17:e01363.

Nanga, S., Nasiru, S., and Dioggban, J. (2023). Cosine topp–leone family of distributions: properties and regression. Research in Mathematics, 10(1):2208935.

Selim, M. A. and Badr, A. M. (2016). The kumaraswamy generalized power weibull distribution. Math. Theo. Model, 6:110–124.

Shawky, A. and Abu-Zinadah, H. H. (2009). Exponentiated pareto distribution: different method of estimations. International Journal of Contemporary Mathematical Sciences, 4(14):677–693.

Published

30-04-2024

How to Cite

ARCSINE RAYLIEGH PARETO DISTRIBUTION: PROPERTIES AND APPLICATION TO CARBON FIBERS DATA SETS. (2024). FUDMA JOURNAL OF SCIENCES, 8(2), 301-305. https://doi.org/10.33003/fjs-2024-0802-2364

Issue

Vol. 8 No. 2 (2024): FUDMA Journal of Sciences - Vol. 8 No. 2

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

ARCSINE RAYLIEGH PARETO DISTRIBUTION: PROPERTIES AND APPLICATION TO CARBON FIBERS DATA SETS. (2024). FUDMA JOURNAL OF SCIENCES, 8(2), 301-305. https://doi.org/10.33003/fjs-2024-0802-2364

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