List questions from probability-limit-theorems

Published on 25 Jun 2015 - 10:32

123

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Convergence to a distribution implies convergence of a logarithm?

Published on 25 Jun 2015 - 16:06

1.3k

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What does this definition mean: $F_Y(y) =P(Y<y)$?

Published on 26 Jun 2015 - 19:45

158

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Is there a connection between uniform law of large number and Ibragimov's conjecture?

Published on 27 Jun 2015 - 22:02

971

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Continuous mapping theorem - counterexample

Published on 03 Jul 2015 - 13:19

11k

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Example of convergence in distribution but not in probability

Published on 03 Jul 2015 - 13:54

189

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Essential supremum via cumulant

Published on 05 Jul 2015 - 20:55

413

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Expectation of the maximum as the number of random variables goes to infinity?

Published on 08 Jul 2015 - 8:16

98

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The jumps of a Poisson process

Published on 10 Jul 2015 - 11:14

248

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The law of large numbers - limits of $\max$ vs $\max$ of a limit.

Published on 13 Jul 2015 - 11:28

861

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Kolmogorov's sufficient and necessary condition for SLLN - What about pairwise uncorrelated RV?

Published on 26 Jul 2015 - 17:45

254

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What is the General Central Limit Theorem?

Published on 28 Jul 2015 - 20:09

609

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PMF estimation: concentration inequalities for the $l_1$ and $l_\infty$ errors

Published on 27 Mar 2026 - 22:31

358

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Law of large numbers for the function of sum of random variables

Published on 15 Aug 2015 - 8:14

2.3k

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Proof - Limits of CDF

Published on 17 Aug 2015 - 15:24

List Question

Checking the Lindeberg condition (central limit theorem)

Convergence to a distribution implies convergence of a logarithm?

What does this definition mean: $F_Y(y) =P(Y<y)$?

Is there a connection between uniform law of large number and Ibragimov's conjecture?

Continuous mapping theorem - counterexample

Example of convergence in distribution but not in probability

Essential supremum via cumulant

Expectation of the maximum as the number of random variables goes to infinity?

The jumps of a Poisson process

The law of large numbers - limits of $\max$ vs $\max$ of a limit.

Kolmogorov's sufficient and necessary condition for SLLN - What about pairwise uncorrelated RV?

What is the General Central Limit Theorem?

PMF estimation: concentration inequalities for the $l_1$ and $l_\infty$ errors

Law of large numbers for the function of sum of random variables

Proof - Limits of CDF

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