Feature: Support the +, -, /, *, \, and the ** operators on hyperparameter distributions

[guillaume-chevalier]

Is your feature request related to a problem? Please describe. Adding spaces would return wrappers of the two spaces. If encountering a float or an int, it'd wrap it by a FixedHyperParam before the addition.

Describe the solution you'd like

Do this in the abstract-most distribution such that every distribution have such operators:

def __add__(self, other): 
    if not isinstance(other, Distribution): 
        other = FixedHyperParam(other)  # wrap ints and floats and other things
    return AddWrapper(self, other) 

And then it'd look like this perhaps

class AddWrapper(...): 
    """A wrapper for lazily performing an addition between two other distributions."""
    def rvs(...): 
        return self.a.rvs() + self.b.rvs()

class ExpWrapper(...)...

class SubWrapper... 

I have the following idea... I only hope that in the operator wrappers it's possible to properly code the std, cdf' pdf, and all the other methods that must be normally coded.

Describe alternatives you've considered A clear and concise description of any alternative solutions or features you've considered.

Additional context Add any other context or screenshots about the feature request here.

[stale[bot]]

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