Klugman, Panjer, and Willmot offer this mathematical reference for actuarial calculations, geared toward studying for Society of Actuaries and Casualty Actuarial Society exams. Basic concepts
of modeling, random variables, and distributional quantities are introduced first. Characteristics of actuarial models are defined, and continuous, discrete, and advanced modeling distributions
are covered, as well as the coverage modifications and aggregate losses. The middle of the book discusses the construction of empirical models from complete or modified data, statistical
methods in the frequentist and Bayesian models, and credibility theory. The final section discusses the simulation approach, and appendices consolidate standard distributions and formulae.
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