locan.analysis.localization_precision.PairwiseDistance2dIdenticalSigmaZeroMu

class locan.analysis.localization_precision.PairwiseDistance2dIdenticalSigmaZeroMu(momtype=1, a=None, b=None, xtol=1e-14, badvalue=None, name=None, longname=None, shapes=None, seed=None)

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

• sigma (npt.ArrayLike) – Standard deviation for point clouds

References

[1]

L. Stirling Churchman, Henrik Flyvbjerg, James A. Spudich, A Non-Gaussian Distribution Quantifies Distances Measured with Fluorescence Localization Techniques. Biophysical Journal 90 (2), 2006, 668-671, doi.org/10.1529/biophysj.105.065599.

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.