This solution addresses the issue "Write NumPy docstring for calculate_mahalanobis()" by providing a detailed NumPy-style docstring for the calculate_mahalanobis() function.
Summary:
The function calculate_mahalanobis() calculates the Mahalanobis distance for an observation from a distribution. The updated docstring follows the NumPy format and includes details on the parameters, return values, exceptions, examples, and notes.
Docstring Sections Preview:
Description
"""
Calculate the Mahalanobis distance for an observation from a distribution.
The Mahalanobis distance is a measure of the distance between a point and a distribution.
It is an effective way to determine how many standard deviations an observation is from
the mean of a distribution, considering the covariance among variables. This function
computes the Mahalanobis distance of a single observation from the mean of a distribution,
given the inverse of the covariance matrix of the distribution.
"""
Parameters
"""
Parameters
----------
x : numpy.ndarray or pandas.Series
A 1D array of the observation or a single row from a DataFrame.
mean : numpy.ndarray
The mean vector of the distribution from which distances are calculated.
Must be 1D and of the same length as `x`.
inv_cov_matrix : numpy.ndarray
The inverse of the covariance matrix of the distribution. This matrix
must be square and its size should match the number of elements in `x`.
"""
Returns
"""
Returns
-------
float
The Mahalanobis distance of the observation `x` from the distribution
defined by `mean` and `inv_cov_matrix`.
"""
Raises
"""
Raises
------
ValueError
If `x` and `mean` do not have the same length.
LinAlgError
If the inverse covariance matrix is singular and cannot be used for
distance calculation.
"""
"""
Notes
-----
The Mahalanobis distance is widely used in outlier detection and cluster analysis.
It is scale-invariant and takes into account the correlations of the data set.
"""
Written and accessible:
This solution addresses the issue "Write NumPy docstring for calculate_mahalanobis()" by providing a detailed NumPy-style docstring for the
calculate_mahalanobis()
function.Summary:
The function
calculate_mahalanobis()
calculates the Mahalanobis distance for an observation from a distribution. The updated docstring follows the NumPy format and includes details on the parameters, return values, exceptions, examples, and notes.Docstring Sections Preview:
Description
Parameters
Returns
Raises
Examples
Notes