Questions (259)

 23 What is the purpose of defining a Hilbert Space? 6 For two random variables $X_1, X_2$, is it always necessarily the case that $E(e^{X_2}\mid e^{X_1}) = E(e^{X_2}\mid X_1)$? 4 What is a simple to understand example (i.e. adjacency matrix) of a vertex transitive graph? 4 If $X \sim N(\mu, \sigma^2)$, and $Y$ is another random variable, is it an abuse of notation to write $p(X|Y, \mu, \sigma^2)$? 4 If $X_1, \ldots, X_n \sim t_\nu$, a t-distribution with $\nu >1$, how to show $E\left(\max_{1 \leq i \leq n}|X_i|\right) = O\left(n^{1/\nu}\right)$?

Reputation (1,062)

 +5 Interpreting the Uniform Law of Large Numbers: $\sup_{\theta\in\Theta} \left\| \frac1n\sum_{i=1}^n f(X_i,\theta) - E[f(X,\theta)] \right\| \to\ 0$? -2 If $A \perp B$ and $A \perp C$, when is it the case $P(A\mid B,C) = P(A\mid B)P(A \mid C)$? +5 If $X$ is discrete and $Z,W$ are discrete or continuous, is it always the case that $P(X=x\mid Z=z) \geq P(X=x\mid Z=z,W=w)$ for all $x,w,z$? +5 How to properly represent a conditional expectation $E(Y\mid X,Z)$ if there are values of $X$ and $Z$ that cannot simultaneously exist?

 2 Stuck at defining the parameter λ for an exponential distribution 0 Bayesian Mixtures of Gaussians Notation

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 2 probability × 174 0 statistical-inference × 14 0 probability-theory × 131 0 real-analysis × 13 0 statistics × 67 0 matrices × 9 0 linear-algebra × 34 0 probability-distributions × 9 0 stochastic-processes × 15 0 stochastic-calculus × 8

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 Mathematics 1,062 rep 517 Stack Overflow 487 rep 411 TeX - LaTeX 145 rep 4 Retrocomputing 141 rep 3 Super User 131 rep 3