Goodness-of-Fit Tests for Inverse Ishita Distribution and Its Application on Renewable Energy Data in the Kingdom of Saudi Arabia
DOI:
https://doi.org/10.48165/gjs.2025.2103Keywords:
Inverse Ishita distribution, Goodness-of-fit tests, Max likelihood estimator, SimulationAbstract
In this article, we presented the goodness-of-fit tests for the inverse Ishita distribution with one parameter based on complete sample. Moreover, the maximum likelihood estimation method was used to estimate the unknown parameter of the distribution. In addition, a Monte Carlo simulation was also performed to verify the behavior of the maximum likelihood estimator. Ultimately, we applied the proposed distribution on renewable energy data in Saudi Arabia and compared it with Weibull and Shanker distributions.References
[1] Abu-Zinadah, H. H., Alsumairi, T. (2023). Goodness-of-fit tests for the suja distribution and its application on covid-19 data in saudi arabia. IOSR Journal of Mathematics, 19 (5), 34- 38.
[2] Shanker, R. & Shukla, K.K. (2017). Ishita distribution and its applications. Biometrics & Biostatistics International Journal, 5(2), 1-9.
[3] Gharaibeh, M.M. & Al-Omari, A.I. (2019). Transmuted Ishita distribution and its applications. Journal of Statistics Applications & Probability, 8(2), 67-81.
[4] Thiamsorn, I. & Aryuyuen, S. (2020). The truncated Ishita distribution: properties and application. International Journal of Applied Mathematics, 33(1), 100-108.
[5] Shukla, K. K. (2021). Inverse Ishita distribution: properties and applications. Reliability: Theory & Applications, 16(1), 98-108.
[6] Abu-Zinadah, H.H. (2014). Six method of estimation for the shape parameter of exponentiated Gompertz distribution. Applied Mathematical Sciences,8 (88), 4349-4359. [7] Abu-Zinadah, H. H., Alsumairi, T. (2024). The estimations for parameter of Suja distribution with application. Alexandria Engineering Journal,86, 327-334.
[8] Shanker, R. (2015). Shanker distribution and its applications. International Journal of statistics and applications, 5, 338-348.
[9] Whittaker, T.A. & Furlow, C.F. (2009). The Comparison of Model Selection Criteria When Selecting Among Competing Hierarchical. Journal of Modern Applied Statistical Methods,8(1) , 173-193.