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Jun
30
revised Mean-Square Ergodicity of Certain Quantities?
added 95 characters in body
Jun
30
revised Mean-Square Ergodicity of Certain Quantities?
added 77 characters in body
Jun
29
asked Mean-Square Ergodicity of Certain Quantities?
Jun
1
revised Interchanging Inverse Laplace Transform
edited tags
Jun
1
revised Interchanging Inverse Laplace Transform
edited tags
Jun
1
revised Interchanging Inverse Laplace Transform
added 49 characters in body
Jun
1
revised Interchanging Inverse Laplace Transform
added 722 characters in body
Jun
1
comment Interchanging Inverse Laplace Transform
I just checked and the real part of my poles seem to be affected if I carry out the mean integration first. Wouldn't this change the limit in the definition of the inverse transform?
Jun
1
revised Interchanging Inverse Laplace Transform
deleted 64 characters in body
Jun
1
comment Interchanging Inverse Laplace Transform
Sorry that's right... I just wanted to show explicitly the expression for the mean. Let me change it..
Jun
1
revised Interchanging Inverse Laplace Transform
added 3 characters in body
Jun
1
asked Interchanging Inverse Laplace Transform
Sep
24
awarded  Autobiographer
Aug
7
comment Splitting Integral into Two Parts
Thank you very much for your help and patience
Aug
7
comment Splitting Integral into Two Parts
Haha, thanks for spelling it out, I should have just done that instead of plugging into Mathematica. The same should be true for a function with integrand $g(\max(x_1,x_2))f(|x_2−x_1|)$ since $x_1$ and $x_2$ are exchanged within both subregions, right?
Aug
7
accepted Splitting Integral into Two Parts
Aug
7
comment Splitting Integral into Two Parts
I don't think there is a step discontinuity in my function. For example, $\exp(|x_2-x_1|)$ is completely continuous, so it should work right?... Maybe I calculated the integrals wrong, although Mathematica is saying the two integrals are not the same...
Aug
7
asked Splitting Integral into Two Parts
Jul
2
awarded  Curious
Jan
8
accepted Square of Bernoulli Random Variable