scipy.stats.erlang¶
-
scipy.stats.
erlang
= <scipy.stats._continuous_distns.erlang_gen object>[source]¶ An Erlang continuous random variable.
As an instance of the
rv_continuous
class,erlang
object inherits from it a collection of generic methods (see below for the full list), and completes them with details specific for this particular distribution.See also
Notes
The Erlang distribution is a special case of the Gamma distribution, with the shape parameter a an integer. Note that this restriction is not enforced by
erlang
. It will, however, generate a warning the first time a non-integer value is used for the shape parameter.Refer to
gamma
for examples.Methods
rvs(a, loc=0, scale=1, size=1, random_state=None)
Random variates.
pdf(x, a, loc=0, scale=1)
Probability density function.
logpdf(x, a, loc=0, scale=1)
Log of the probability density function.
cdf(x, a, loc=0, scale=1)
Cumulative distribution function.
logcdf(x, a, loc=0, scale=1)
Log of the cumulative distribution function.
sf(x, a, loc=0, scale=1)
Survival function (also defined as
1 - cdf
, but sf is sometimes more accurate).logsf(x, a, loc=0, scale=1)
Log of the survival function.
ppf(q, a, loc=0, scale=1)
Percent point function (inverse of
cdf
— percentiles).isf(q, a, loc=0, scale=1)
Inverse survival function (inverse of
sf
).moment(n, a, loc=0, scale=1)
Non-central moment of order n
stats(a, loc=0, scale=1, moments=’mv’)
Mean(‘m’), variance(‘v’), skew(‘s’), and/or kurtosis(‘k’).
entropy(a, loc=0, scale=1)
(Differential) entropy of the RV.
fit(data, a, loc=0, scale=1)
Parameter estimates for generic data.
expect(func, args=(a,), loc=0, scale=1, lb=None, ub=None, conditional=False, **kwds)
Expected value of a function (of one argument) with respect to the distribution.
median(a, loc=0, scale=1)
Median of the distribution.
mean(a, loc=0, scale=1)
Mean of the distribution.
var(a, loc=0, scale=1)
Variance of the distribution.
std(a, loc=0, scale=1)
Standard deviation of the distribution.
interval(alpha, a, loc=0, scale=1)
Endpoints of the range that contains alpha percent of the distribution