List questions from central-limit-theorem

Published on 07 Aug 2018 - 18:13

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Illustrating Normal Approximation to Binomial (CLT)

Published on 08 Aug 2018 - 7:56

3.3k

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How Sample mean equals Population Mean?

Published on 10 Aug 2018 - 14:16

3.6k

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Using the normal approximation, find the probability that the sum of the face values of the 100 trials is less than 300

Published on 11 Aug 2018 - 22:47

160

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Sum of i.i.d. sequence converging to Normal Distribution

Published on 14 Aug 2018 - 20:44

42

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An application of Liapunov's Condition with a parameter restriction

Published on 17 Aug 2018 - 2:15

172

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Use CLT to find the probability

Published on 17 Aug 2018 - 10:59

2.8k

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Calculation of confidence interval for population mean if population not normally distributed

Published on 18 Aug 2018 - 13:34

237

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CLT for triangular array of globally bounded random variables

Published on 23 Aug 2018 - 15:48

309

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Show that $\frac{X_n-nm}{\sqrt{nm}} \xrightarrow{d}N(0,1) , X_n \in Bin(n^2,m/n),m>0$

Published on 24 Aug 2018 - 14:18

240

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Deduce upper bound of variance from Chernoff-type tail bound

Published on 25 Mar 2026 - 14:17

426

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Convergence of sample mean using CLT

Published on 22 Mar 2026 - 0:43

30

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problem defining distribution and probability

Published on 01 Sep 2018 - 1:47

198

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approximation to standard normal distribution

Published on 05 Sep 2018 - 3:44

604

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Find the limit of $\sum\limits_{r=\lfloor an \rfloor}^{\lfloor bn \rfloor} {n \choose r } p^r (1-p)^{n-r}$ using the central limit theorem

Published on 11 Sep 2018 - 17:33

List Question

Sampling distribution Normal Approximation Misfit

Illustrating Normal Approximation to Binomial (CLT)

How Sample mean equals Population Mean?

Using the normal approximation, find the probability that the sum of the face values of the 100 trials is less than 300

Sum of i.i.d. sequence converging to Normal Distribution

An application of Liapunov's Condition with a parameter restriction

Use CLT to find the probability

Calculation of confidence interval for population mean if population not normally distributed

CLT for triangular array of globally bounded random variables

Show that $\frac{X_n-nm}{\sqrt{nm}} \xrightarrow{d}N(0,1) , X_n \in Bin(n^2,m/n),m>0$

Deduce upper bound of variance from Chernoff-type tail bound

Convergence of sample mean using CLT

problem defining distribution and probability

approximation to standard normal distribution

Find the limit of $\sum\limits_{r=\lfloor an \rfloor}^{\lfloor bn \rfloor} {n \choose r } p^r (1-p)^{n-r}$ using the central limit theorem

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