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Can the result of Integrate be represented by defined functions

Posted 9 years ago

Hi, I try to get from Mathematica some results as you can find in textbooks about statistics. Let phi be the density of Standard Normal Distribution and Phi be the Distribution function. Then you can find in textbooks following Relations: enter image description here

What I can get so far is:enter image description here

Is there a way that Matematica represents the results in terms of phi and Phi?

The only way I found so far is a Transformation rule but it is fairly manual and will only work if the Output contains exactly the pattern, i.e. if variable Name is x instead of v it would not work. enter image description here Regards Juergen

POSTED BY: Juergen B

You didn't indicate what you use for patterns, but from the description I will surmise they are simply too restrictive. They can for example be "parametrized", that is, effectively given dummy variables instead of hard-coded names.

POSTED BY: Daniel Lichtblau
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