cdfLogistic#
Purpose#
Computes the cumulative distribution function for the logistic distribution.
Format#
- p = cdfLogistic(x, loc, scale)#
- Parameters:
x (NxK matrix, Nx1 vector or scalar.) – Values at which to evaluate the cumulative distribution function for the logistic distribution.
loc (NxK matrix, Nx1 vector or scalar) – Location parameter, ExE conformable with x.
scale (NxK matrix, Nx1 vector or scalar) – Scale parameter; ExE conformable with x. \(0 < scale\).
- Returns:
p (NxK matrix, Nx1 vector or scalar) – Each element in p is the cumulative distribution function for the logistic distribution evaluated at the corresponding element in x.
Examples#
// Values of interest
x = { 1, 2, 3 };
// Location parameter
loc = 0;
// Scale parameter
s = 2;
p = cdfLogistic(x, loc, s);
After the above code, P will equal:
0.6225
0.7311
0.8176
Remarks#
The cumulative distribution function for the logistic distribution is defined as:
\[f(x, \mu, \sigma) = \frac{1}{1 + exp(-z)}\]
where
\[z = \frac{x - \mu}{\sigma}\]
See also