cdfExp

Purpose

Computes the cumulative distribution function for the exponential distribution.

Format

p = cdfExp(x, loc, m)

Parameters:

• x (NxK matrix, Nx1 vector or scalar.) – Values at which to evaluate the exponential cdf. \(x > 0\).

• loc (NxK matrix, Nx1 vector or scalar) – Location parameter, ExE conformable with x. \(loc < x\).

• m (NxK matrix, Nx1 vector or scalar) – Mean parameter, ExE conformable with x. m is the inverse of the rate parameter which is often called \(\lambda\). \(m > 0\).

Returns:

p (NxK matrix, Nx1 vector or scalar) – Each element in p is the exponential cdf value evaluated at the corresponding element in x.

Examples

// Vector of values
x = seqa(0, 1, 5);

// Location parameter
loc = 0;

// Mean parameter
m = 1/1.5~1~2;

// Call cdfExp
p = cdfExp(x, loc, m);
print "p = " p;

After above code,

p =
  0.0000   0.0000   0.0000
  0.7769   0.6321   0.3935
  0.9502   0.8647   0.6321
  0.9889   0.9502   0.7769
  0.9975   0.9817   0.8647

Remarks

The cumulative distribution function for the exponential distribution is defined as

\[1−exp⁡(− \frac{x−loc}{m})\]

See also

Function pdfExp()