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New posts in probability-limit-theorems
Asymptotics of $\max\limits_{1\leqslant k\leqslant n}X_k/n$
probability-theory
convergence-divergence
probability-limit-theorems
Rate of convergence in the central limit theorem (Lindeberg–Lévy)
probability
probability-theory
statistics
central-limit-theorem
probability-limit-theorems
Two questions about uniform integrability
probability-theory
measure-theory
probability-limit-theorems
uniform-integrability
Almost certain non-existence of limit
probability-limit-theorems
$ \lim_{n \to \infty} \mathbb{E} \big[ -\frac{1}{n}\ln (1+e^{-nf(X_n)}) \big] = 0 $ [closed]
limits
probability-limit-theorems
What is the probability that the sum of digits of a random $k$-digit number is $n$?
probability-theory
asymptotics
probability-limit-theorems
Convergence of series $\sum\limits_{k=1}^\infty\frac{1}{X_1+\dots+X_k}$ with $(X_k)$ i.i.d. non integrable
sequences-and-series
probability-theory
probability-limit-theorems
How often was the most frequent coupon chosen?
probability-theory
probability-limit-theorems
coupon-collector
Given an ergodic property that guarantees convergence of sample means to an expectation, how can I bound the Cesàro Mean of expectation of terms?
probability
probability-theory
measure-theory
ergodic-theory
probability-limit-theorems
Showing uniform integrability to prove the limit of expectation
probability-theory
probability-limit-theorems
uniform-integrability
$ \frac{(1+o_p(1) )A_n}{(1+o(1) )E[A_n]}=\frac{A_n}{E[A_n]}+ o_p(\frac{A_n}{E[A_n]}) ??$
probability
statistics
notation
probability-limit-theorems
Probability and measure theory
probability
probability-theory
measure-theory
philosophy
probability-limit-theorems
Weak Law of Large Numbers for Dependent Random Variables with Bounded Covariance
probability-theory
measure-theory
covariance
probability-limit-theorems
law-of-large-numbers
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