Document Type
Article
Publication Date
9-26-2025
Abstract
In this article, we propose a goodness-of-fit test for a one-parameter Lindley distribution based on energy statistics. The Lindley distribution has been widely used in reliability studies and survival analysis, especially in applied sciences. The proposed test procedure is simple and more powerful against general alternatives. Under different settings, Monte Carlo simulations show that the proposed test is able to be well controlled for any given nominal levels. In terms of power, the proposed test outperforms other existing similar methods in different settings. We then apply the proposed test to real-life datasets 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/stats8040087
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Njuki, J., & Avallone, R. (2025). Energy Statistic-Based Goodness-of-Fit Test for the Lindley Distribution with Application to Lifetime Data. Stats, 8(4), 87. https://doi.org/10.3390/stats8040087. Available at https://digitalcommons.coastal.edu/mathematics-statistics/6