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4 votes
2 answers
864 views

Uniform Convergence of Moment Generating Function

In the article, "The Empirical Moment Generating Function" by Csörgö, the author defines the empirical moment generating function for a sample of $n$ variables $X_1,X_2, \dots, X_n$ as: $$ \begin{...
Rodrigo Zepeda's user avatar
1 vote
0 answers
95 views

Proof -- swapping sum with integral

Problem In Ceperley's 95 article on path integral Monte Carlo approach I have encountered $\hat{\rho}:L^{2}(R^{3N})\to L^{2}(R^{3N})$ $\hat{\rho} = e^{-\beta \hat{H}}$, where $\hat{H}$ is a ...
rajko.cosic's user avatar