Abstract
In this paper we introduce a new lifetime model called the Topp Leone xgamma distribution, a two-parameter distribution with a lot of versatilities. Among other things, we obtain quantiles, moments, stochastic ordering, and probability weighted moments. The suggested distribution's parameters are determined using the maximum likelihood estimation approach. For right-censored data, modified chi-square goodness-of-fit tests are developed. A complete simulation analysis is carried out to highlight the benefits of the proposed model and to confirm the goodness-of-fit test. The current study's theoretical results are applied to data from COVID-19 data in KSA.