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Results tagged with empirical-cumulative-distr-fn
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user 355731
Empirical cumulative distribution function: a step function increasing by $1/n$ at each unique $X$-value that occurred in the sample.
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Accepted
Almost sure convergence using exponential tail bound
The result follows by Borel-Cantelli.
Fix $\varepsilon>0$. Notice, since $8\sqrt{\frac{\log(n+1)}{n}}\to 0$ as $n\to \infty$, there exists some $n_0\in \mathbb{N}$ and $\tilde{t}>0$ such that $$n>n_0 …
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