A flexible model with both bathtub and upside down bathtub shape hazard rates

In this article a new distribution called the beta type two half logistic Topp-Leone-G (BTIIHLTL-G) Distribution is presented. The new distribution is generated via the Beta-G (BG) family of distributions originally proposed by Jones [11]. We study three special cases of the BTIIHLTL-G Distribution. The new model’s moments, conditional moments, moment generating function, order statistics, and entropy are among the statistical characteristics that are examined. Finally, we present an implementation of our novel model on actual data sets.