Stats (experimental)#

Examples relevant to the stats module.

Astrostatistics Tools (experimental)#

Documentation is available in the docstrings and online at https://www.astropy.org/.

Tweedie Distribution (generalized family)#

Examples relevant to the tweedie variable.

Tweedie distributions are a very general family of distributions that includes the Gaussian, Poisson, and Gamma (among many others) as special cases.

Parameter 𝑝: The Tweedie family is defined by a parameter 𝑝, which controls the distribution’s properties. For different values of 𝑝, the distribution can take different forms.

Example of the Tweedie Family:

  • 𝑝=0: Gaussian (Normal) distribution

  • 𝑝=1: Poisson distribution

  • 𝑝=2: Gamma distribution

  • 𝑝=3: Inverse Gaussian distribution

Common Applications#

Generalized Linear Models (GLMs): The Tweedie distributions are often used in GLMs, especially in cases where the data has non-constant variance or is overdispersed (i.e., variance greater than the mean).

The Tweedie distribution is widely used in:

  • Insurance industry: Modeling claim amounts and policy exposure.

  • Medical and genomic testing: Analyzing datasets with zero-inflated and continuous positive values.

  • Environmental science: Rainfall modeling and hydrology studies.

See also