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Panjer recursion
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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
S = \sum_^N X_i\,.
where both N\, and X_i\, 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 S = \sum_^N X_i\, where N\, and X_i\, fulfill the following preconditions.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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