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In this paper, a summary of the composite models developed for use in actuarial practice is presented. We refer in extensive detail to the first composite model introduced in 2005 by Cooray and Ananda  which was then generalized by Scollnik  in 2007. The main features identified for these models were the density function, the cumulative distribution function, and the n-th order initial moment. We also look into some different variations of these composite models such as: Gamma -Pareto, Weibull -Pareto and Exponential -Pareto models.doi:10.19062/1842-9238.2019.17.2.8 fatcat:oer63sspw5crtgeb4dyltnqxnm