Overview

This book introduces three new distributions: the truncated New-XLindley distribution, the two-parameter beta-exponential distribution, and the New-XLindley beta distribution. These distributions will serve as valuable supplements to the existing probability theory and data modeling literature for actuarial and life science. We derive expressions for their moment-generating functions, order statistics, constraint-force reliability, and entropy. The unknown parameters of these distributions are estimated by different techniques such as the least square and maximum likelihood. To demonstrate the usefulness of the above models, we consider applications to medical data and other datasets.

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