Recent content by Devon79
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Challenging integral with exponential functions
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...- Devon79
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- Exponential Functions Integral
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Graduate How to distribute product sign across base and exponent terms
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... -
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Graduate How to distribute product sign across base and exponent terms
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...- Devon79
- Thread
- Base Exponent Product Sign Terms
- Replies: 1
- Forum: Set Theory, Logic, Probability, Statistics