Question

Show that chi-squared random variables are sub-exponential with parameter $4$

score 303 · Answer 1 · 2026-03-28 08:08:39

303

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Show that chi-squared random variables are sub-exponential with parameter $4$

Published on 28 Mar 2026 - 8:08

score 149 · Answer 2 · 2026-03-25 20:12:52

149

Views

Recurrence relations for even orthogonal polynomials

Published on 25 Mar 2026 - 20:12

score 37 · Answer 3 · 2022-06-10 12:02:48

37

Views

Which law has the random variable X if it has generating function $G_X(t)=a(3+2t^2)^3$?

Published on 10 Jun 2022 - 12:02

score 136 · Answer 4 · 2022-06-20 16:37:11

136

Views

Can a probability generating function fail to be analytic on any neighborhood of 1?

Published on 20 Jun 2022 - 16:37

score 335 · Answer 5 · 2022-07-02 14:08:20

335

Views

Deriving recursion formula for the moments about the mean of the Poisson distribution

Published on 02 Jul 2022 - 14:08

score 30 · Answer 6 · 2022-07-05 03:56:18

30

Views

Determining a probability function for a sum of N i.i.d. geometric distributions between where N is discrete with a geometric pf

Published on 05 Jul 2022 - 3:56

score 96 · Answer 7 · 2022-07-13 01:08:56

96

Views

Bochner-Type Theorem for MGF

Published on 13 Jul 2022 - 1:08

score 37 · Answer 8 · 2026-02-23 06:38:44

37

Views

Under what conditions is $K^{(2)}(t) $ continuous at $t=0$ where $K(t)$ is the cumulant generating function?

Published on 23 Feb 2026 - 6:38

score 48 · Answer 9 · 2026-03-26 14:42:02

48

Views

Is a real random variable's moment-generating function the Laplace-Stieltjes transform of its CDF?

Published on 26 Mar 2026 - 14:42

score 30 · Answer 10 · 2026-02-23 21:20:25

30

Views

What happens to skewness as you play the same gamble multiple times?

Published on 23 Feb 2026 - 21:20

score 91 · Answer 11 · 2022-07-26 03:34:17

91

Views

About moment generating function

Published on 26 Jul 2022 - 3:34

score 249 · Answer 12 · 2022-07-26 18:18:54

249

Views

High-order moments for a Gaussian random variable

Published on 26 Jul 2022 - 18:18

score 250 · Answer 13 · 2022-08-02 18:09:12

250

Views

moment generating function of a random variable dependent on a different one

Published on 02 Aug 2022 - 18:09

score 69 · Answer 14 · 2022-08-07 20:00:20

69

Views

Given the CDF $F(x)=1-e^{-x^2};0≤x<∞$. Derive the moment generating function of $X$

Published on 07 Aug 2022 - 20:00

score 204 · Answer 15 · 2022-08-07 22:37:31

204

Views

Find two dependent random variables $X$ and $Y$ such that $\phi_{X+Y}(t)=\phi_{X}(t) \phi_{Y}(t)$, $\forall t$.

Published on 07 Aug 2022 - 22:37

List Question

Show that chi-squared random variables are sub-exponential with parameter $4$

Recurrence relations for even orthogonal polynomials

Which law has the random variable X if it has generating function $G_X(t)=a(3+2t^2)^3$?

Can a probability generating function fail to be analytic on any neighborhood of 1?

Deriving recursion formula for the moments about the mean of the Poisson distribution

Determining a probability function for a sum of N i.i.d. geometric distributions between where N is discrete with a geometric pf

Bochner-Type Theorem for MGF

Under what conditions is $K^{(2)}(t) $ continuous at $t=0$ where $K(t)$ is the cumulant generating function?

Is a real random variable's moment-generating function the Laplace-Stieltjes transform of its CDF?

What happens to skewness as you play the same gamble multiple times?

About moment generating function

High-order moments for a Gaussian random variable

moment generating function of a random variable dependent on a different one

Given the CDF $F(x)=1-e^{-x^2};0≤x<∞$. Derive the moment generating function of $X$

Find two dependent random variables $X$ and $Y$ such that $\phi_{X+Y}(t)=\phi_{X}(t) \phi_{Y}(t)$, $\forall t$.

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