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Panjer recursion : ウィキペディア英語版 | Panjer recursion The Panjer recursion is an algorithm to compute the probability distribution approximation of a compound random variable . where both and are random variables and of special types. In more general cases the distribution of ''S'' is a compound distribution. The recursion for the special cases considered was introduced in a paper by Harry Panjer (Emeritus professor, University of Waterloo〔(CV ), actuaries.org; (Staff page ), math.uwaterloo.ca〕). It is heavily used in actuarial science (see also systemic risk). == Preliminaries == We are interested in the compound random variable where and fulfill the following preconditions.
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