Homework Statement
I'm unable to integrate the following function with respect to x [-inf, +inf]:
Homework Equations
exp(y*x)*(1+exp(x))^(-n)dx
The Attempt at a Solution
I tried to expand the function by distributing the exponent (-n) across the rightmost product, but I don't think its...
I am calculating the likelihood of a hierarchical model and am having trouble distributing the product sign.
Here are the two expressions that I'm interested in:
Product from j=1 to j_k of: (t_jk)^(sum(Z_ijk) + a_k - 1)
and
Product from k=1 to K of: (b_k)^(j_k*a_k).
The tricky...
I am calculating the likelihood of a hierarchical model and am having trouble distributing the product sign.
Here are the two expressions that I'm interested in:
Product from j=1 to j_k of: (t_jk)^(sum(Z_ijk) + a_k - 1)
and
Product from k=1 to K of: (b_k)^(j_k*a_k).
The tricky...