Lines Matching refs:sigma
21 rayleigh_distribution(RealType sigma = 1)
23 RealType sigma()const;
32 [expression f(x; sigma) = x * exp(-x[super 2]/2 [sigma][super 2]) / [sigma][super 2]]
34 For sigma parameter ['[sigma]] > 0, and /x/ > 0.
41 …raph illustrates how the Probability density Function(pdf) varies with the shape parameter [sigma]:
61 rayleigh_distribution(RealType sigma = 1);
64 Rayleigh distribution] with [sigma] /sigma/.
66 Requires that the [sigma] parameter is greater than zero,
69 RealType sigma()const;
71 Returns the /sigma/ parameter of this distribution.
89 In the following table [sigma] is the sigma parameter of the distribution,
94 [[pdf][Using the relation: pdf = x * exp(-x[super 2])/2 [sigma][super 2] ]]
95 …cdf][Using the relation: p = 1 - exp(-x[super 2]/2) [sigma][super 2]= -__expm1(-x[super 2]/2) [sig…
96 [[cdf complement][Using the relation: q = exp(-x[super 2]/ 2) * [sigma][super 2] ]]
97 [[quantile][Using the relation: x = sqrt(-2 * [sigma] [super 2]) * log(1 - p)) = sqrt(-2 * [sigma] …
98 [[quantile from the complement][Using the relation: x = sqrt(-2 * [sigma] [super 2]) * log(q)) ]]
99 [[mean][[sigma] * sqrt([pi]/2) ]]
100 [[variance][[sigma][super 2] * (4 - [pi]/2) ]]
101 [[mode][[sigma] ]]