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تابع توزیع تجمعی
cumulative distribution function
The cumulative distribution function (CDF) of Y is
where P[-] = probability that the condition specified inside the brackets is satisfied, Fx(g~l (y)) is the CDF of X, because g~\y) = x,fx(x) is the PDF of X.
If fx(x) and g~' (y) are both known, the CDF of Y, Fyiy), can be obtained by carrying out the integration shown in Equation (9-5).
Following the same logic as for the case of a single independent random variable, the CDF of Z is determined by integrating the joint PDF of X and Y over the domain of X and Y values included in Rz.
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