Energy Statistic-Based Goodness-of-Fit Test for the Lindley Distribution with Application to Lifetime Data
Year: 2025
Type: article
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.
Source: Stats
DOI: 10.3390/stats8040087
Authors: Joseph Njuki, Ryan Avallone
Institution: Coastal Carolina University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,930
OpenAlex ID: W4414541986