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.