The halfgennorm distribution in scipy.stats represents the half-generalized normal distribution. The mean() method can be used to find the expected value (mean) of this distribution.
The mean of the half-generalized normal distribution is given by:
μ=Γ(β1)2Γ(β1+β)
where Γ is the gamma function and β is the shape parameter.
Here's how to use the mean() method:
from scipy.stats import halfgennorm # Define the shape parameter beta = 0.5 # Calculate the mean mean_val = halfgennorm.mean(beta) print(f"The mean of the half-generalized normal distribution with beta={beta} is {mean_val}") Do note that the halfgennorm.mean() method calculates the mean based on the provided shape parameter (and optional location and scale parameters, which default to 0 and 1 respectively if not provided). Adjust the value of beta as per your requirements.
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