I started recently some work on a symbolic expression for variance and 
covariance in *sympy.stats* module:

https://github.com/sympy/sympy/pull/10247

The current *stats* module defines functions such as *P (probability), E 
(expectation), variance, covariance, moment, *and so on, to perform the 
integral given random variables or conditions on random variables.

I think it's convenient to also have the possibility to operate at a higher 
level of abstraction, by keeping unevaluated symbolic expressions and 
operating with their properties on them.

The idea is to define a class with the same name of the function, with 
capital first letter:

   - Expectation( ) vs expectation( )
   - Probability( ) vs probability( )
   - Variance( ) vs variance( )
   - ... and so on ...
   
The latter ones are the existing functions, whereas the first ones are 
classes that create the unevaluated expression.


The method *.doit()* calls the corresponding function to perform the 
integral.


A similar relationship already exists in SymPy:

   - Integral( ) vs integrate( )
   - Derivative( ) vs diff( )
   - Sum( ) vs sum( )

*.doit()* calls the function.


I'd like to have some feedback before going on. Do you think this is a good 
idea? Would you merge this once it's finished?

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