Document Type
Article
Publication Date
5-21-2026
Abstract
In this article, we develop a goodness-of-fit test for the Kumaraswamy distribution based on energy statistics. Due to the availability of its quantile (inverse) function, the Kumaraswamy distribution has been shown to be the preferred alternative to the Beta distribution, since both have bounded support in the (0,1) interval. The proposed test procedure is simple and more powerful against general alternatives. Under different settings, simulations show that the proposed test is capable of being well controlled for any given significance (nominal) levels. In terms of power comparisons, the proposed test outperforms other existing methods in different settings. We then apply the proposed test to two real datasets (electricity access data and underground economy index) to demonstrate its competitiveness and usefulness.
This article was published Open Access through the CCU Libraries Open Access Publishing Fund. The article was first published in the journal Stats: https://doi.org/10.3390/stats9030050
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Njuki, J., & Gilbert, T. (2026). Goodness-of-Fit Test for the Kumaraswamy Distribution via Energy Distance Approach with Applications to Real Data. Stats, 9(3), 50. https://doi.org/10.3390/stats9030050. Available at https://digitalcommons.coastal.edu/mathematics-statistics/9/