query: Are $\sum_{i=1}^{n} \xi_i / i$ and $\max\xi_n$ equally distributed?
positive_passages.docid: 155639
positive_passages.text: Showing 2 Distributions are the Same
negative_passages.docid: 91395
negative_passages.text: Distribution of sum of exponentials
negative_passages.docid: 31303
negative_passages.text: If $p\in\Bbb Z[X]$ show that: $ \max\limits_{x\in [0,1]}\left|p(x) \right| > \frac{1}{e^{n}}. $
negative_passages.docid: 110222
negative_passages.text: Maximal inequality for a sequence of partial sums of independent random variables
negative_passages.docid: 75030
negative_passages.text: Law of large numbers for non-identically distributed Bernoulli random variables
negative_passages.docid: 32503
negative_passages.text: Density of the sum of $n$ uniform(0,1) distributed random variables
negative_passages.docid: 82621
negative_passages.text: Show $P\{\xi_1+\dots+\xi_n=1\}=(\sum_{i=1}^n \lambda_i)\Delta + O(\Delta^2)$ (Shiryaev's Probability page 44)
negative_passages.docid: 81884
negative_passages.text: Minimal sufficient statistic of $\operatorname{Uniform}(-\theta,\theta)$
negative_passages.docid: 56453
negative_passages.text: Sufficient statistics for Uniform $(-\theta,\theta)$
negative_passages.docid: 41100
negative_passages.text: Density of sum of two independent uniform random variables on $[0,1]$
negative_passages.docid: 122929
negative_passages.text: Prove that $Y=-2\sum_{i=1}^n \ln F_{X_i}(X_i)$ have distribution $\chi^2(2n)$
negative_passages.docid: 112658
negative_passages.text: Difference between $\sum_{i=1}^{k}{\frac{s_i}{kn_i}}$ and $\frac{\sum_{i=1}^{k}{s_i}}{\sum_{i=1}^{k}{n_i}}$
negative_passages.docid: 127459
negative_passages.text: Approximating a multinomial as $p(\xi_1,\ldots,\xi_N)\propto\exp\left(-\frac{n}{2}\sum_{i=1}^N\frac{(\xi_i-p_i)^2}{p_i}\right)$
negative_passages.docid: 65715
negative_passages.text: Distribution of sums
negative_passages.docid: 53378
negative_passages.text: $\max(\{n: n+5 | n^5 + 5\})$
negative_passages.docid: 24683
negative_passages.text: For i.i.d. $\{X_n\}$ proving $\frac1n\max\limits_{1\leqslant k\leqslant n}|X_k|\xrightarrow{\mathrm{a.s.}}0\Leftrightarrow E(|X_1|)<+∞$
negative_passages.docid: 44706
negative_passages.text: Behavior of $\sum a_n x^n$ given $\sum |a_n - a_{n-1}| < \infty$