[10] developed the weighted exponential distribution by expanding on the concept of [2], which included
using an exponential model with a form parameter. In order to create the beta weighted exponential
distribution, which is based on the logit of beta function [12], we used two shape factors to modify the
current weighted exponential distribution. The new distribution's statistical features were investigated. The
R software code was used to estimate the parameters using the maximum likelihood estimation approach.
We then compared the novel distribution's features to those of well-known distributions using a data set
that included the survival times of guinea pigs injected with varying amounts of tubercle bacilli. Based on
our analysis, the new distribution is far more adaptable and flexible.