List questions from bernoulli-distribution

Published on 25 Nov 2022 - 12:35

92

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Covariance of sums of Bernoulli random variables

Published on 28 Nov 2022 - 19:51

76

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Markov chain Bernoulli

Published on 30 Nov 2022 - 11:05

56

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An upper bound of the probability involving Bernoulli on the power

Published on 06 Dec 2022 - 15:39

60

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Finding asymptotic notation for expected value, variance

Published on 08 Dec 2022 - 9:55

155

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Show that $\limsup_n \frac{S_n}{n(\log \log n)^{1-\epsilon}} = \infty$ with probability 1

Published on 10 Dec 2022 - 15:40

44

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How to resolve this Bernoulli problem? In a game of A vs. B, player A tosses uneven coins.

Published on 13 Dec 2022 - 4:29

136

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Prove formally that $\frac{\hat{p}-p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$ converges to $N(0,1)$ in distribution

Published on 13 Dec 2022 - 9:49

69

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Formation of the Binomial distribution in Cinlar: Probability and Stochastics

Published on 15 Dec 2022 - 7:11

136

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Prove formally that $\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left(\frac{1}{n_1}+\frac{1}{n_2}\right)}}$ converges to $N(0,1)$

Published on 17 Dec 2022 - 17:41

80

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Convolution of Bernouli trials with homogenous probability mass function

Published on 06 Jan 2023 - 17:25

41

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Is it more likely to hit the expectation several times than hitting it once in a particular order?

Published on 24 Jan 2023 - 21:17

57

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If an event can happen with probability $p$, but I don't see it in $n$ tries, what is $P(p < p_0)$?

Published on 25 Jan 2023 - 18:34

List Question

Computing $\mathbb{E}_{p}[X_1|X_1+\cdots +X_n]$

Covariance of sums of Bernoulli random variables

Markov chain Bernoulli

An upper bound of the probability involving Bernoulli on the power

Finding asymptotic notation for expected value, variance

Show that $\limsup_n \frac{S_n}{n(\log \log n)^{1-\epsilon}} = \infty$ with probability 1

How to resolve this Bernoulli problem? In a game of A vs. B, player A tosses uneven coins.

Prove formally that $\frac{\hat{p}-p}{\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}}$ converges to $N(0,1)$ in distribution

Formation of the Binomial distribution in Cinlar: Probability and Stochastics

Prove formally that $\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left(\frac{1}{n_1}+\frac{1}{n_2}\right)}}$ converges to $N(0,1)$

Convolution of Bernouli trials with homogenous probability mass function

Is it more likely to hit the expectation several times than hitting it once in a particular order?

If an event can happen with probability $p$, but I don't see it in $n$ tries, what is $P(p < p_0)$?

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