Question

Probability of $X > Y$ given that $X, Y$ are i.i.d. continuous r.v.s

score 2.2k · Answer 1 · 2020-04-17 17:20:26

2.2k

Views

Probability of $X > Y$ given that $X, Y$ are i.i.d. continuous r.v.s

Published on 17 Apr 2020 - 17:20

score 84 · Answer 2 · 2026-04-06 22:37:38

84

Views

$E \left( \Phi \left( X+ a \sqrt{\frac{V}{n}} \right) \right)=P(T<\frac{a}{\sqrt{1+\sigma^2}})$ where $X\sim N(0 , \sigma^2)$ , $V \sim \chi^2_{n}$

Published on 06 Apr 2026 - 22:37

score 871 · Answer 3 · 2026-03-27 10:24:24

871

Views

Why has the MLE for a Gaussian Distribution only one solution although not being "jointly" convex in mean and variance

Published on 27 Mar 2026 - 10:24

score 173 · Answer 4 · 2026-03-28 07:53:36

173

Views

UMVUE of $\sum_i \frac{\mu_i^2}{n}$ for non identical normal distribution

Published on 28 Mar 2026 - 7:53

score 1.1k · Answer 5 · 2020-04-18 22:00:01

1.1k

Views

A fair coin is tossed 10,000 times

Published on 18 Apr 2020 - 22:00

score 80 · Answer 6 · 2026-03-29 22:31:45

80

Views

Calculating the variance of the sum of two correlated variables

Published on 29 Mar 2026 - 22:31

score 59 · Answer 7 · 2026-03-26 11:01:12

59

Views

Minimum value of $2(1-t^2)(1-\Phi(\sqrt{n} t)) + t^2$ for $t \in [0, 1]$ and large $n \ge 3$

Published on 26 Mar 2026 - 11:01

score 330 · Answer 8 · 2026-03-27 16:27:29

330

Views

Sum of random variables that are normally distributed and correlated

Published on 27 Mar 2026 - 16:27

score 20 · Answer 9 · 2020-04-20 08:32:31

20

Views

Ambiguity in calculating mean of normal distribution

Published on 20 Apr 2020 - 8:32

score 987 · Answer 10 · 2026-03-25 17:36:32

987

Views

Understanding $\epsilon-$net arguments for random matrix bounds

Published on 25 Mar 2026 - 17:36

score 60 · Answer 11 · 2026-04-02 14:33:41

60

Views

How to find conditional expectation?

Published on 02 Apr 2026 - 14:33

score 248 · Answer 12 · 2026-03-27 16:27:36

248

Views

Expectation of $E[e^{-X^2}]$ of a Gaussian distribution

Published on 27 Mar 2026 - 16:27

score 190 · Answer 13 · 2020-04-21 11:49:52

190

Views

Showing that these two variables are independent and finding their distributions

Published on 21 Apr 2020 - 11:49

score 215 · Answer 14 · 2026-04-02 14:42:59

215

Views

Conditional expectation $E(\xi^2\mid\xi\eta)$ where $\xi, \eta$ iid $N(0,1)$

Published on 02 Apr 2026 - 14:42

score 18 · Answer 15 · 2026-02-23 06:24:19

18

Views

Find standard deviation $s$ such that $\mathbb{P}(X \in [-t, t]) = 1 - \alpha$ for $X \sim \mathcal{N}(0, s)$

Published on 23 Feb 2026 - 6:24

List Question

Probability of $X > Y$ given that $X, Y$ are i.i.d. continuous r.v.s

$E \left( \Phi \left( X+ a \sqrt{\frac{V}{n}} \right) \right)=P(T<\frac{a}{\sqrt{1+\sigma^2}})$ where $X\sim N(0 , \sigma^2)$ , $V \sim \chi^2_{n}$

Why has the MLE for a Gaussian Distribution only one solution although not being "jointly" convex in mean and variance

UMVUE of $\sum_i \frac{\mu_i^2}{n}$ for non identical normal distribution

A fair coin is tossed 10,000 times

Calculating the variance of the sum of two correlated variables

Minimum value of $2(1-t^2)(1-\Phi(\sqrt{n} t)) + t^2$ for $t \in [0, 1]$ and large $n \ge 3$

Sum of random variables that are normally distributed and correlated

Ambiguity in calculating mean of normal distribution

Understanding $\epsilon-$net arguments for random matrix bounds

How to find conditional expectation?

Expectation of $E[e^{-X^2}]$ of a Gaussian distribution

Showing that these two variables are independent and finding their distributions

Conditional expectation $E(\xi^2\mid\xi\eta)$ where $\xi, \eta$ iid $N(0,1)$

Find standard deviation $s$ such that $\mathbb{P}(X \in [-t, t]) = 1 - \alpha$ for $X \sim \mathcal{N}(0, s)$

Trending Questions

Popular # Hahtags

Popular Questions