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2 votes
1 answer
122 views

Analytical solution for a double integral involving logistic functions and Gaussian distributions

I am working on a mathematical problem involving the evaluation of a double integral, and I am seeking an analytical solution or techniques to solve it. The integral I'm dealing with is as follows: ​$$...
Charles's user avatar
  • 31
1 vote
1 answer
161 views

Multiple integral and integral with respect to a function of variables

This is concerning Eq. (3.7) of C R Rao's 1945 paper (see p.81 of this article). Can someone help me in figuring out the second equality in Eq. (3.7)? His claim is (since $\phi(x,\theta) = \Phi(T,\...
Ashok's user avatar
  • 779