locan.analysis.localization_precision.PairwiseDistance2d#
- class locan.analysis.localization_precision.PairwiseDistance2d(momtype=1, a=None, b=None, xtol=1e-14, badvalue=None, name=None, longname=None, shapes=None, seed=None)[source]#
Bases:
rv_continuous
A random variable describing the distribution of pair distances for two normal distributed point clouds in 2D.
The continuous distribution class inherits from scipy.stats.rv_continuous a set of methods and is defined by overriding the _pdf method.
For theoretical background see [1].
- Parameters:
x (npt.ArrayLike) – distance
mu (npt.ArrayLike) – Distance between the point cloud center positions.
sigma_1 (npt.ArrayLike) – Standard deviation for one point cloud.
sigma_2 (npt.ArrayLike) – Standard deviation for the other point cloud.
References
Methods
__init__
([momtype, a, b, xtol, badvalue, ...])cdf
(x, *args, **kwds)Cumulative distribution function of the given RV.
entropy
(*args, **kwds)Differential entropy of the RV.
expect
([func, args, loc, scale, lb, ub, ...])Calculate expected value of a function with respect to the distribution by numerical integration.
fit
(data, *args, **kwds)Return estimates of shape (if applicable), location, and scale parameters from data.
fit_loc_scale
(data, *args)Estimate loc and scale parameters from data using 1st and 2nd moments.
freeze
(*args, **kwds)Freeze the distribution for the given arguments.
interval
(confidence, *args, **kwds)Confidence interval with equal areas around the median.
isf
(q, *args, **kwds)Inverse survival function (inverse of sf) at q of the given RV.
logcdf
(x, *args, **kwds)Log of the cumulative distribution function at x of the given RV.
logpdf
(x, *args, **kwds)Log of the probability density function at x of the given RV.
logsf
(x, *args, **kwds)Log of the survival function of the given RV.
mean
(*args, **kwds)Mean of the distribution.
median
(*args, **kwds)Median of the distribution.
moment
(order, *args, **kwds)non-central moment of distribution of specified order.
nnlf
(theta, x)Negative loglikelihood function.
pdf
(x, *args, **kwds)Probability density function at x of the given RV.
ppf
(q, *args, **kwds)Percent point function (inverse of cdf) at q of the given RV.
rvs
(*args, **kwds)Random variates of given type.
sf
(x, *args, **kwds)Survival function (1 - cdf) at x of the given RV.
stats
(*args, **kwds)Some statistics of the given RV.
std
(*args, **kwds)Standard deviation of the distribution.
support
(*args, **kwargs)Support of the distribution.
var
(*args, **kwds)Variance of the distribution.
Attributes
random_state
Get or set the generator object for generating random variates.