BaseDistribution#

class BaseDistribution[source]#

Bases: object

Bare-bones class for statistical distributions to provide consistent methods.

This class serves as a template for other distribution classes, defining the common interface for probability density function (PDF), cumulative distribution function (CDF), and statistics.

Attributes:

mean: The mean of the distribution.
median: The median of the distribution.
mode: The mode of the distribution.
stddev: The standard deviation of the distribution.
variance: The variance of the distribution.

Methods

`cdf`(x)	Compute the cumulative density function (CDF) for the distribution.
`logcdf`(x)	Compute the log cumulative density function (logCDF) for the distribution.
`logpdf`(x)	Compute the log probability density function (logPDF) for the distribution.
`pdf`(x)	Compute the probability density function (PDF) for the distribution.
`stats`()	Computes and returns the statistical properties of the distribution, including,

pdf(x: float | ndarray) → float | ndarray[source]#

Compute the probability density function (PDF) for the distribution.

Parameters:: x – Input array at which to evaluate the PDF.

logpdf(x: float | ndarray) → float | ndarray[source]#

Compute the log probability density function (logPDF) for the distribution.

Parameters:: x – Input array at which to evaluate the logPDF.

cdf(x: float | ndarray) → float | ndarray[source]#

Compute the cumulative density function (CDF) for the distribution.

Parameters:: x – Input array at which to evaluate the CDF.

logcdf(x: float | ndarray) → float | ndarray[source]#

Compute the log cumulative density function (logCDF) for the distribution.

Parameters:: x – Input array at which to evaluate the logCDF.

stats() → Dict[str, float][source]#

Computes and returns the statistical properties of the distribution, including,

mean,
median,
variance, and
standard deviation.

Returns:: A dictionary containing statistical properties such as mean, variance, etc.
Return type:: Dict[str, float]

Notes

If any of the parameter is not computable for a distribution, this method returns None.

property mean#: The mean of the distribution.

property median#: The median of the distribution.

property mode#: The mode of the distribution.

property variance#: The variance of the distribution.

property stddev#: The standard deviation of the distribution.