cdfLaplace ============================================== Purpose ---------------- Computes the cumulative distribution function for the Laplace distribution. Format ---------------- .. function:: p = cdfLaplace(x, loc, scale) :param x: Values at which to evaluate the cumulative distribution function for the Laplace distribution. :type x: NxK matrix, Nx1 vector or scalar. :param loc: Location parameter, ExE conformable with *x*. :type loc: NxK matrix, Nx1 vector or scalar :param scale: Scale parameter; ExE conformable with *x*. :math:0 < scale. :type scale: NxK matrix, Nx1 vector or scalar :return p: Each element in *p* is the cumulative distribution function for the Laplace distribution evaluated at the corresponding element in *x*. :rtype p: NxK matrix, Nx1 vector or scalar Examples --------- :: // Values of interest x = 2; // Location parameter loc = 0; // Scale parameter scale = 3; p = cdfLaplace(x, loc, scale); After the above code, p will equal: :: 0.7433 Remarks ------- The cumulative distribution function for the Laplace distribution is defined as .. math:: f(x, \mu, b) = \begin{cases} \frac{1}{2} exp(\frac{(x-\mu)}{b}), & x \lt \mu\\ 1 - \frac{1}{2} exp(-\frac{(x - \mu)}{b}), & x \ge \mu \end{cases} .. seealso:: :func:cdfLaplaceInv