CODEWITHSUNDEEP
functionwolfram-mathematica
kolonel
kolonel

Reputation: 1422

get function output mathematica

I have defined the function:

g[x_] = TransformedDistribution[ u + v , {u \[Distributed] ParetoDistribution[1, 1], v \[Distributed] ParetoDistribution[1, 1]}];

PDF[dist,x]

However, when I want to integrate g[x] from k to infinity :

Integrate[g[x] , {x,k , \[Infinity] } ]

Mathematica does not output anything.

Any recommendations on how to solve this or how I could get the function that was outputted when I first defined g[x] and then doing the integration ?

Thank you

Upvotes: 0

Views: 140

Answers (1)

agentp
agentp

Reputation: 6989

I think you just have your function syntax wrong, try this:

 g[x_] = PDF[
       TransformedDistribution[
             u + v, {u \[Distributed] ParetoDistribution[1, 1], 
                     v \[Distributed] ParetoDistribution[1, 1]}], x]

when you integrate you need to add the condition that k is real:

Integrate[g[x], {x, k, Infinity}, Assumptions -> Element[k, Reals]]


         1                          k<=2
        (2 (k + Log[-1 + k]))/k^2   k>2

Upvotes: 1

Related Questions