cumulative distribution function

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Related to Probability distribution function: normal distribution

cumulative distribution function

n
(Statistics) statistics a function defined on the sample space of a distribution and taking as its value at each point the probability that the random variable has that value or less. The function F(x) = P(Xx) where X is the random variable, which is the sum or integral of the probability density function of the distribution. Sometimes shortened to: distribution function
References in periodicals archive ?
The probability distribution function along-with histogram for the month January to December is shown in Figure 1.
Determination of the Beta parameters, and thus the probability distribution function, is based on the assumption that a sufficiently realistic assessment of the possible values of the characteristic variables can be obtained from three estimates made by the evaluator.
Case R number LSF f(x) * [mu] ** [sigma] *** 1 g = R - Q Log-normal 100 10 2 g = R - Q Uniform 80 5 3 g = 1 - Q/R Uniform 100 5 4 g = 1 - Q/R Normal 90 8 5 g = ln (R/Q) Log-normal 100 7 6 g = ln (R/Q) Normal 100 8 Case Q number f(x) [mu] [sigma] 1 Extreme Type I 50 8 2 Normal 50 8 3 Normal 70 10 4 Log-normal 60 7 5 Uniform 80 6 6 Extreme Type I 60 10 * f (x) is the probability distribution function.
In addition, model performance was evaluated when parameters were estimated using a mixture probability distribution function.
Functions used in y calculations (12)-(41) are strictly monotonic for random variable [alpha] [member of] [0,1] as [gamma] = F([alpha]) is probability distribution function.
Theoretical derivation of wind power probability distribution function and applications, Applied Energy 92: 809-814.
According to the statistic tests, the better fit is the normal probability distribution function for the international sorghum price dataset (K-S and A-D have the lowest values and C-S the second lowest value) and the logistic probability distribution function for rainfall dataset (all the fit statistic tests have the smallest value).
The measurement results of a voltage unbalance factor statistical values are given in Table 7 and the probability distribution function is shown in Fig.
Form a normal probability distribution function for the unknown variable with the mean and variance calculated in step 5.
In the normal ogive model the link function between given ability level p and the probability is standard normal probability distribution function (Uebersax 1999):
Folgar and Tucker (6) derived an equation of probability distribution function (or Fokker-Planck equation) for fiber orientation distribution.

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