On the Beta-New XLindley distribution, simulation and application in medicine

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This thesis introduces three new distributions: the truncated New-XLindley distribution, the two-parameter beta-exponential distribution, and the New-XLindley beta distribu- tion. These distributions will be useful additions to the current literature on probability theory and data modeling for actuarial and life sciences. We investigate the moment- generating function, order statistics, entropy, and constraint-force reliability of these dis-tributions. The unknown parameters associated with these distributions are estimated using a variety of methods, such as least squares and maximum likelihood. To illustrate the utility of the proposed models, we apply them to a medical data and other data sets. Our goal is to draw in academics by showcasing the versatility and possible applications of these novel distributions.

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