Question

If two different statistics converge to a same function, does it mean both of them converge to a same distribution?

score 37 · Answer 1 · 2019-01-23 07:27:23

37

Views

If two different statistics converge to a same function, does it mean both of them converge to a same distribution?

Published on 23 Jan 2019 - 7:27

score 654 · Answer 2 · 2019-01-23 13:40:46

654

Views

let X be a random variable such that $E[X^4]=1$ then $P(|X|\geq 2) \leq \frac{1}{16}$?

Published on 23 Jan 2019 - 13:40

score 30 · Answer 3 · 2019-01-23 15:33:41

30

Views

Given a pretty complex joint PDF of X,Y, what can I derive about them?

Published on 23 Jan 2019 - 15:33

score 1.2k · Answer 4 · 2019-01-23 15:48:18

1.2k

Views

Show that $X$, $Y$, and $Z$ are pairwise independent. Are they independent?

Published on 23 Jan 2019 - 15:48

score 179 · Answer 5 · 2026-03-26 19:38:01

179

Views

Multivariate Conditional Entropy as a test of correlation between random variables

Published on 26 Mar 2026 - 19:38

score 105 · Answer 6 · 2026-03-27 21:51:30

105

Views

Finding the probability density of the sum $Z=X+Y$ given a joint density function.

Published on 27 Mar 2026 - 21:51

score 54 · Answer 7 · 2019-01-24 11:19:26

54

Views

Boundedness of Moments of Random Variables

Published on 24 Jan 2019 - 11:19

score 149 · Answer 8 · 2026-03-26 12:40:11

149

Views

Integrating a function over a random effect (Normal distribution)

Published on 26 Mar 2026 - 12:40

score 42 · Answer 9 · 2019-01-24 18:51:47

42

Views

Confusion on why CDF suffices to show "$X$ is so and so distributed"

Published on 24 Jan 2019 - 18:51

score 42 · Answer 10 · 2026-03-25 11:10:03

42

Views

Integrating with a non-analytical solution (random effects)

Published on 25 Mar 2026 - 11:10

score 1.2k · Answer 11 · 2026-03-25 19:04:45

1.2k

Views

Joint Distribution of two dependent Bernoulli Random Variables for $\rho=1$

Published on 25 Mar 2026 - 19:04

score 131 · Answer 12 · 2026-03-27 12:03:02

131

Views

Does pointwise convergence of estimator imply consistency

Published on 27 Mar 2026 - 12:03

score 30 · Answer 13 · 2019-01-26 01:07:43

30

Views

Compare two random variables and their probability with respect to same number

Published on 26 Jan 2019 - 1:07

score 131 · Answer 14 · 2019-01-26 02:12:29

131

Views

Questions regarding non-degenerate random vector

Published on 26 Jan 2019 - 2:12

score 310 · Answer 15 · 2026-03-26 08:03:32

310

Views

Consider a random variable $X$ with the log-normal pdf $f(x) ={1\over \sqrt{2π}}x^{−1}exp^{{−0.5 (logx)^2}}$, $x>0$.

Published on 26 Mar 2026 - 8:03

List Question

If two different statistics converge to a same function, does it mean both of them converge to a same distribution?

let X be a random variable such that $E[X^4]=1$ then $P(|X|\geq 2) \leq \frac{1}{16}$?

Given a pretty complex joint PDF of X,Y, what can I derive about them?

Show that $X$, $Y$, and $Z$ are pairwise independent. Are they independent?

Multivariate Conditional Entropy as a test of correlation between random variables

Finding the probability density of the sum $Z=X+Y$ given a joint density function.

Boundedness of Moments of Random Variables

Integrating a function over a random effect (Normal distribution)

Confusion on why CDF suffices to show "$X$ is so and so distributed"

Integrating with a non-analytical solution (random effects)

Joint Distribution of two dependent Bernoulli Random Variables for $\rho=1$

Does pointwise convergence of estimator imply consistency

Compare two random variables and their probability with respect to same number

Questions regarding non-degenerate random vector

Consider a random variable $X$ with the log-normal pdf $f(x) ={1\over \sqrt{2π}}x^{−1}exp^{{−0.5 (logx)^2}}$, $x>0$.

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