List questions from central-limit-theorem

Published on 08 Dec 2018 - 10:15

114

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Does a sequence of random variables constructed in a certain manner converge in distribution to a Gaussian?

Published on 08 Dec 2018 - 16:06

346

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Central Limit Theorem for not identical distributed but independent centered random variables with variance one.

Published on 11 Dec 2018 - 16:34

228

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Normal approximation of sum of uniform independent RVs using CLT

Published on 13 Dec 2018 - 20:11

87

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A Central Limit Theorem simple example

Published on 17 Dec 2018 - 18:58

38

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Central limit theorem. Calculating probability P(N≤49)

Published on 19 Dec 2018 - 13:45

210

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Probability limits of random variable sums

Published on 25 Mar 2026 - 9:46

97

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Central limit theorem ... need help

Published on 28 Dec 2018 - 14:05

52

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CLT for decaying random variables

Published on 25 Mar 2026 - 15:48

683

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A central limit theorem for dependent random variable.

Published on 02 Jan 2019 - 15:05

54

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An example where Lyapounov Condition is much easier than the Lindeberg?

Published on 04 Jan 2019 - 5:30

37

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Domain of Central Limit Theorem

Published on 06 Jan 2019 - 14:14

1.3k

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If $X_n$ is Gamma $(n,\lambda)$ distributed then $(\lambda X_n -n)/\sqrt n\to N(0,1)$

Published on 25 Mar 2026 - 4:38

67

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Show $Z_{n} \xrightarrow{d} \mathcal{N}(0,1)$

Published on 14 Jan 2019 - 23:15

266

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Proving that CLT doesn't hold for a given sequence.

Published on 16 Jan 2019 - 18:55

List Question

using Central Limit Theorem to approximate a probability with large 'n'

Does a sequence of random variables constructed in a certain manner converge in distribution to a Gaussian?

Central Limit Theorem for not identical distributed but independent centered random variables with variance one.

Normal approximation of sum of uniform independent RVs using CLT

A Central Limit Theorem simple example

Central limit theorem. Calculating probability P(N≤49)

Probability limits of random variable sums

Central limit theorem ... need help

CLT for decaying random variables

A central limit theorem for dependent random variable.

An example where Lyapounov Condition is much easier than the Lindeberg?

Domain of Central Limit Theorem

If $X_n$ is Gamma $(n,\lambda)$ distributed then $(\lambda X_n -n)/\sqrt n\to N(0,1)$

Show $Z_{n} \xrightarrow{d} \mathcal{N}(0,1)$

Proving that CLT doesn't hold for a given sequence.

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