Question

Suppose that $X_i$ are independent random variables, with finite absolute moment. Then $Max(X_1, \ldots, X_n) / n \to 0$ a.s.?

score 903 · Answer 1 · 2026-03-26 08:00:26

903

Views

Suppose that $X_i$ are independent random variables, with finite absolute moment. Then $Max(X_1, \ldots, X_n) / n \to 0$ a.s.?

Published on 26 Mar 2026 - 8:00

score 73 · Answer 2 · 2016-11-01 07:36:10

73

Views

Independence and addition?

Published on 01 Nov 2016 - 7:36

score 76 · Answer 3 · 2016-11-01 08:04:58

76

Views

If $X + Y$ has the distribution you would expect from independence, then are $X$ and $Y$ independent?

Published on 01 Nov 2016 - 8:04

score 77 · Answer 4 · 2016-11-02 12:25:10

77

Views

Convergence of $\frac{|Y_n|}{n}$

Published on 02 Nov 2016 - 12:25

score 494 · Answer 5 · 2016-11-03 18:37:03

494

Views

Show that X_1,...,X_n are independent.

Published on 03 Nov 2016 - 18:37

score 69 · Answer 6 · 2026-03-28 05:57:39

69

Views

Probability - Biased coin

Published on 28 Mar 2026 - 5:57

score 91 · Answer 7 · 2016-11-04 11:01:51

91

Views

Show that $\frac1n\sum\limits_{m=1}^n(1_{B_m}-P(B_m))\to0$ in probability when $(B_m)$ is independent

Published on 04 Nov 2016 - 11:01

score 626 · Answer 8 · 2026-03-29 13:47:20

626

Views

For a multiplicative Martingale of independent, non-negative RV with mean 1, given $E(M_\infty)=1 \implies \prod E(\sqrt{X_k})>0$

Published on 29 Mar 2026 - 13:47

score 28 · Answer 9 · 2016-11-06 15:06:35

28

Views

Check whether a set of vectors is independent

Published on 06 Nov 2016 - 15:06

score 127 · Answer 10 · 2016-11-08 01:58:39

127

Views

Expectation of $\mathbb E[2^{ξ+η}]$ when $ξ-η$ and $η$ are independent

Published on 08 Nov 2016 - 1:58

score 667 · Answer 11 · 2016-11-08 02:34:09

667

Views

Joint probability mass function of iid random variables

Published on 08 Nov 2016 - 2:34

score 57 · Answer 12 · 2016-11-11 01:51:46

57

Views

Independence of 2 events involving inner products of random vector

Published on 11 Nov 2016 - 1:51

score 332 · Answer 13 · 2016-11-14 12:46:08

332

Views

Independence of the absolute value of a standard normal distribution to its positive indicator

Published on 14 Nov 2016 - 12:46

score 95 · Answer 14 · 2026-03-28 08:08:12

95

Views

Independence and Mutual Exclusion of a Continuous Random Variable

Published on 28 Mar 2026 - 8:08

score 98 · Answer 15 · 2016-11-15 16:52:33

98

Views

Are $Z$ and $B$ independent Brownian Motion?

Published on 15 Nov 2016 - 16:52

List Question

Suppose that $X_i$ are independent random variables, with finite absolute moment. Then $Max(X_1, \ldots, X_n) / n \to 0$ a.s.?

Independence and addition?

If $X + Y$ has the distribution you would expect from independence, then are $X$ and $Y$ independent?

Convergence of $\frac{|Y_n|}{n}$

Show that X_1,...,X_n are independent.

Probability - Biased coin

Show that $\frac1n\sum\limits_{m=1}^n(1_{B_m}-P(B_m))\to0$ in probability when $(B_m)$ is independent

For a multiplicative Martingale of independent, non-negative RV with mean 1, given $E(M_\infty)=1 \implies \prod E(\sqrt{X_k})>0$

Check whether a set of vectors is independent

Expectation of $\mathbb E[2^{ξ+η}]$ when $ξ-η$ and $η$ are independent

Joint probability mass function of iid random variables

Independence of 2 events involving inner products of random vector

Independence of the absolute value of a standard normal distribution to its positive indicator

Independence and Mutual Exclusion of a Continuous Random Variable

Are $Z$ and $B$ independent Brownian Motion?

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