List questions from probability-limit-theorems

Published on 10 Aug 2020 - 20:55

40

Views

Probability of selecting the index corresponding to the higher parameter looking at frequencies of independent Bernoulli processes.

Published on 11 Aug 2020 - 7:48

110

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Weak convergence of independent random variable

Published on 13 Aug 2020 - 13:46

151

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Uniform Convergence in Cramer's Theorem (Large Deviations)

Published on 18 Aug 2020 - 15:59

450

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Log of a product of characteristic functions (Lindeberg's theorem and Accompanying Laws theorem)

Published on 18 Aug 2020 - 16:48

201

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Evaluating a limit of sequence of probabilities

Published on 19 Aug 2020 - 14:30

231

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Asymptotic behavior of a uniform mixture distribution

Published on 19 Aug 2020 - 15:21

74

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Find the limiting distribution of $\frac{(2 \sum_{i=1}^n X_i - \theta)}{\sqrt{n}X_{(n)}}$

Published on 21 Aug 2020 - 23:45

160

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Proof of almost sure convergence of sum of iid random variables

Published on 27 Mar 2026 - 5:59

191

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Convergence in Probability question.

Published on 27 Aug 2020 - 8:00

148

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Durrett Theorem 3.2.8 (Are inverse distribution functions right continuous?)

Published on 27 Aug 2020 - 8:42

69

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Does the convergence of $X_n$ in probability implies the convergence of $(X_1 + \cdots + X_n) / n$?

Published on 30 Mar 2026 - 13:21

151

Views

Slutsky's theorem for central limit theorem

Published on 29 Aug 2020 - 5:27

96

Views

Prove almost sure convergence for log series

Published on 30 Aug 2020 - 14:49

40

Views

Variance of a sum of weighed random variables with standard normal distribution

Published on 31 Aug 2020 - 1:22

List Question

Event found in tail sigma field

Probability of selecting the index corresponding to the higher parameter looking at frequencies of independent Bernoulli processes.

Weak convergence of independent random variable

Uniform Convergence in Cramer's Theorem (Large Deviations)

Log of a product of characteristic functions (Lindeberg's theorem and Accompanying Laws theorem)

Evaluating a limit of sequence of probabilities

Asymptotic behavior of a uniform mixture distribution

Find the limiting distribution of $\frac{(2 \sum_{i=1}^n X_i - \theta)}{\sqrt{n}X_{(n)}}$

Proof of almost sure convergence of sum of iid random variables

Convergence in Probability question.

Durrett Theorem 3.2.8 (Are inverse distribution functions right continuous?)

Does the convergence of $X_n$ in probability implies the convergence of $(X_1 + \cdots + X_n) / n$?

Slutsky's theorem for central limit theorem

Prove almost sure convergence for log series

Variance of a sum of weighed random variables with standard normal distribution

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