locan.utils.statistics.biased_variance

locan.utils.statistics.biased_variance(variance, n_samples)

The sample variance is biased if not corrected by Bessel’s correction. This function yields the biased variance by applying the inverse correction.

\[E(variance_{biased}) = variance * (1 - 1 / localization_counts).\]

Parameters:

• variance (Union[_SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[Union[bool, int, float, complex, str, bytes]]]) – An unbiased variance.

• n_samples (Union[_SupportsArray[dtype[Any]], _NestedSequence[_SupportsArray[dtype[Any]]], bool, int, float, complex, str, bytes, _NestedSequence[Union[bool, int, float, complex, str, bytes]]]) – Number of samples from which the biased sample variance would be computed.

Return type:

npt.NDArray[np.float64]