List questions from probability-limit-theorems

Published on 03 Jan 2020 - 22:11

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What is the probability for the coupon collector to fail?

Published on 23 Feb 2026 - 12:05

80

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Application WLLN in a convergence related problem

Published on 06 Jan 2020 - 15:42

70

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Show that $\operatorname{Pr}(Z-X \geq 0)$ converges to one

Published on 08 Jan 2020 - 7:31

45

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$EX(1) = 0$, $EX^2(1) = 1$, $X(t) \sim \sqrt{t} X(1)$ $\Rightarrow X(t) - X(s) \sim \mathcal{N}(0,|t-s|)$

Published on 09 Jan 2020 - 2:42

30

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How to find normalizing constants $c_n,d_n$ for weak convergence?

Published on 10 Jan 2020 - 20:04

46

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How does this step imply the next in this proof of the weak law of large numbers?

Published on 11 Jan 2020 - 18:57

32

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convergence of normal sum r.v. tail

Published on 12 Jan 2020 - 0:03

128

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Obtaining rates for convergence in probability from rates of convergence in expectation.

Published on 22 Jan 2020 - 16:25

106

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Prove $X_n$ fullfills Weak Law of Large Numbers

Published on 25 Jan 2020 - 13:45

48

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Increasing event sequence question

Published on 26 Jan 2020 - 12:33

204

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Uniform integrability for a Martingale (defined via Poisson process)

Published on 26 Mar 2026 - 2:54

185

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Convergence in probability of $\frac1n\sum_{i=1}^n X_i^2$ where $X_i$'s are i.i.d $N(0,1)$

Published on 05 Feb 2020 - 9:33

477

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Show that $S_n= \sqrt{n} \sum_{i=1}^{n} (X_i - \theta) / \sum_{i=1}^{n} X_i^2$ converges in distribution

Published on 13 Feb 2020 - 18:05

113

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series of independent random variables

Published on 15 Feb 2020 - 11:20

List Question

Asymptotic Distribution of Order Statistic for a uniform random variable

What is the probability for the coupon collector to fail?

Application WLLN in a convergence related problem

Show that $\operatorname{Pr}(Z-X \geq 0)$ converges to one

$EX(1) = 0$, $EX^2(1) = 1$, $X(t) \sim \sqrt{t} X(1)$ $\Rightarrow X(t) - X(s) \sim \mathcal{N}(0,|t-s|)$

How to find normalizing constants $c_n,d_n$ for weak convergence?

How does this step imply the next in this proof of the weak law of large numbers?

convergence of normal sum r.v. tail

Obtaining rates for convergence in probability from rates of convergence in expectation.

Prove $X_n$ fullfills Weak Law of Large Numbers

Increasing event sequence question

Uniform integrability for a Martingale (defined via Poisson process)

Convergence in probability of $\frac1n\sum_{i=1}^n X_i^2$ where $X_i$'s are i.i.d $N(0,1)$

Show that $S_n= \sqrt{n} \sum_{i=1}^{n} (X_i - \theta) / \sum_{i=1}^{n} X_i^2$ converges in distribution

series of independent random variables

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