Recursions for Convolutions and Compound Distributions with Insurance Applications

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<P>Since 1980, methods for recursive evaluation of aggregate claims distributions have received extensive attention in the actuarial literature.</P><P>This book gives a unified survey of the theory and is intended to be self-contained to a large extent. As the methodology is applicable also outside the actuarial field, it is presented in a general setting, but actuarial applications are used for motivation. </P><P>The book is divided into two parts. Part I is devoted to univariate distributions, whereas in Part II, the methodology is extended to multivariate settings.</P><P>Primarily intended as a monograph, this book can also be used as text for courses on the graduate level. Suggested outlines for such courses are given.</P><P>The book is of interest for actuaries and statisticians working within the insurance and finance industry, as well as for people in other fields like operations research and reliability theory.</P>