Class prob_dens_gaussian (o2scl)¶
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class
o2scl
::
prob_dens_gaussian
: public o2scl::prob_dens_func¶ A one-dimensional Gaussian probability density.
The distribution
\[ P(x)=\frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{\left(x-x_0\right)^2}{2\sigma^2}} \]This class is experimental.
Public Functions
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prob_dens_gaussian
()¶ Create a standard normal distribution.
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prob_dens_gaussian
(double cent, double sigma)¶ Create a Gaussian distribution with width
sigma
.The value of
sigma
must be larger than zero.
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~prob_dens_gaussian
()¶
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prob_dens_gaussian
(const prob_dens_gaussian &pdg)¶ Copy constructor.
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prob_dens_gaussian &
operator=
(const prob_dens_gaussian &pdg)¶ Copy constructor with operator=.
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void
set_seed
(unsigned long int s)¶ Set the seed.
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void
set_center
(double cent)¶ Set the center.
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void
set_sigma
(double sigma)¶ Set the Gaussian width (must be positive)
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double
mean
()¶ Get the center.
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double
stddev
()¶ Get the Gaussian width.
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double
operator()
() const¶ Sample from the specified density.
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double
pdf
(double x) const¶ The normalized density.
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double
log_pdf
(double x) const¶ The log of the normalized density.
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double
cdf
(double x) const¶ The cumulative distribution function (from the lower tail)
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double
invert_cdf
(double in_cdf) const¶ The inverse cumulative distribution function.
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double
entropy
() const¶ Entropy of the distribution ( \( - \int f \ln f \) )
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