Probability and Statistics

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MathStudent

13:08

I'm looking at a definition of the Fisher Information matrix through an integral where you integrate w.r.t. x. I'd like to apply it to the logistic regression model where the response variable $y \in \{0,1\}$. Do I need to integrate w.r.t. x and y or can I just w.l.o.g. assume $y_i = 1$ and only integrate w.r.t. x?

9 hours later…

Simple

22:24

Let $(X_n; n \geq 1)$ be a collection of independent positive identically distributed random variables, with density $f(x)$. They are inspected in order from $n = 1$. An observer conjectures that $X_1$ will be greater than all the subsequent $X_n, n \geq 2$. Show that this conjecture will be proved wrong with probability 1.