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A10.8
A10.8
The user-defined (stair) is the discrete alternative of continuous User-defined function described above. The Stair function is defined through a discrete set of values Xi, i = 1…N and associated probabilities S(Xi) . This is the pair of set (Xi, S(Xi)) where Xi represents all possible values that might be assigned to the variable, whereas S(Xi) represents their cumulative probabilities: 


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Mathinline
body$S\left( {{X}_{i}} \right)=\sum\limits_{j=1}^{i}{P\left( {{X}_{i}} \right)}$
 (Eq. 144)


Such a distribution will be entered in form of a list of couples (Xi, S(Xi)). Entering such a distribution in cumulated form allow to control that the sum of the probabilities is equal to 1.

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