Question

Let $Y_n = \frac{\sum_{i=1}^{n} X_i(X_i+1)}{n}$ . Find a number $c$ such that $Y_n \to c$

score 79 · Answer 1 · 2018-08-11 00:35:39

79

Views

Let $Y_n = \frac{\sum_{i=1}^{n} X_i(X_i+1)}{n}$ . Find a number $c$ such that $Y_n \to c$

Published on 11 Aug 2018 - 0:35

score 112 · Answer 2 · 2026-03-26 04:51:25

112

Views

For independent RVs, does $E|X+Y|<\infty$ imply $E|X|<\infty$.

Published on 26 Mar 2026 - 4:51

score 44 · Answer 3 · 2018-08-11 13:21:08

44

Views

Interpretation of a sum involving expected value and raw moments

Published on 11 Aug 2018 - 13:21

score 81 · Answer 4 · 2018-08-12 04:49:04

81

Views

Expected normalized maximum: expectation of a ratio $\ell_\infty/\ell_1$.

Published on 12 Aug 2018 - 4:49

score 81 · Answer 5 · 2026-03-25 12:34:35

81

Views

Expectation of the absolute of the difference between two B.M, $\DeclareMathOperator*{\E}{\mathbb{E}}|B(s)-B(t)|=\sqrt{\frac{2}{\pi}}|t-s|^{1/2}$?

Published on 25 Mar 2026 - 12:34

score 192 · Answer 6 · 2026-03-26 22:58:00

192

Views

Why doesn't the Law of Large Numbers hold here?

Published on 26 Mar 2026 - 22:58

score 264 · Answer 7 · 2026-03-26 04:32:05

264

Views

Lower bounding the expectation of an infimum

Published on 26 Mar 2026 - 4:32

score 43 · Answer 8 · 2026-03-25 06:58:55

43

Views

Estimate how many tracks the city has.(Almost done, but can not find whether estimator is biased or not)

Published on 25 Mar 2026 - 6:58

score 192 · Answer 9 · 2018-08-17 10:57:09

192

Views

How to find the expected value of the random sum of variables?

Published on 17 Aug 2018 - 10:57

score 33 · Answer 10 · 2018-08-18 16:15:51

33

Views

For an operator $\hat A$, if $\langle \hat A\rangle=0$, does this mean that $\langle \hat A\rangle\langle\hat A\rangle=0\,?$

Published on 18 Aug 2018 - 16:15

score 102 · Answer 11 · 2026-03-25 09:32:42

102

Views

Find probability distribution given constraints?

Published on 25 Mar 2026 - 9:32

score 32 · Answer 12 · 2026-03-25 11:13:35

32

Views

Mean and correlation of product of two random processes

Published on 25 Mar 2026 - 11:13

score 532 · Answer 13 · 2018-08-20 02:41:07

532

Views

Expectation of the square of the sum over the sum of the squares

Published on 20 Aug 2018 - 2:41

score 46 · Answer 14 · 2018-08-22 09:26:19

46

Views

Expectation of Product of Subset of Jointly Gaussian Random Vector

Published on 22 Aug 2018 - 9:26

score 173 · Answer 15 · 2018-08-22 13:22:22

173

Views

Upper bound on the expectation of a random variable indexed by a random variale

Published on 22 Aug 2018 - 13:22

List Question

Let $Y_n = \frac{\sum_{i=1}^{n} X_i(X_i+1)}{n}$ . Find a number $c$ such that $Y_n \to c$

For independent RVs, does $E|X+Y|<\infty$ imply $E|X|<\infty$.

Interpretation of a sum involving expected value and raw moments

Expected normalized maximum: expectation of a ratio $\ell_\infty/\ell_1$.

Expectation of the absolute of the difference between two B.M, $\DeclareMathOperator*{\E}{\mathbb{E}}|B(s)-B(t)|=\sqrt{\frac{2}{\pi}}|t-s|^{1/2}$?

Why doesn't the Law of Large Numbers hold here?

Lower bounding the expectation of an infimum

Estimate how many tracks the city has.(Almost done, but can not find whether estimator is biased or not)

How to find the expected value of the random sum of variables?

For an operator $\hat A$, if $\langle \hat A\rangle=0$, does this mean that $\langle \hat A\rangle\langle\hat A\rangle=0\,?$

Find probability distribution given constraints?

Mean and correlation of product of two random processes

Expectation of the square of the sum over the sum of the squares

Expectation of Product of Subset of Jointly Gaussian Random Vector

Upper bound on the expectation of a random variable indexed by a random variale

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