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Show for $\ c>0\ $ that $\ cY\sim \ \text{Gamma}(\alpha,c\beta)$

score 411 · Answer 1 · 2026-03-26 02:59:54

411

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Show for $\ c>0\ $ that $\ cY\sim \ \text{Gamma}(\alpha,c\beta)$

Published on 26 Mar 2026 - 2:59

score 70 · Answer 2 · 2026-04-11 21:03:35

70

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The advantage of empirical likelihood

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score 1.6k · Answer 3 · 2026-04-09 06:38:16

1.6k

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score 1.1k · Answer 4 · 2018-07-01 00:21:21

1.1k

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If random variables $X, Y$ have joint PDF $f(x, y) = g(x)h(y)$ for some functions $g$ and $h$ then $X, Y$ are independent?

Published on 01 Jul 2018 - 0:21

score 63 · Answer 5 · 2026-03-25 03:02:18

63

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Show that for $i=1,..,n, \ X^2_i\sim \text{Gamma}(1,\frac{1}{\pi\lambda})$

Published on 25 Mar 2026 - 3:02

score 2.1k · Answer 6 · 2026-04-11 03:12:58

2.1k

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Best books for learning statistics

Published on 11 Apr 2026 - 3:12

score 80 · Answer 7 · 2026-03-25 06:06:20

80

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Finding the PDF of $\ T=\frac{\pi}{n}\sum_{i=1}^{n} X^2_i$

Published on 25 Mar 2026 - 6:06

score 1.2k · Answer 8 · 2018-07-01 18:34:19

1.2k

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Sample variance recursive relation. $n S_{n+1}^2 = (n-1)S_n^2 + \big( \frac{n}{n+1}\big) (X_n - \overline{X}_{n-1})^2$

Published on 01 Jul 2018 - 18:34

score 310 · Answer 9 · 2026-04-11 19:25:30

310

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Why isn't the linear regression coefficient not just the average vector to data points?

Published on 11 Apr 2026 - 19:25

score 279 · Answer 10 · 2026-03-28 22:59:45

279

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Binomial Coefficient Summation Equivalence

Published on 28 Mar 2026 - 22:59

score 147 · Answer 11 · 2026-03-25 06:06:20

147

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For $Y\sim N(0,\sigma^2)$, find $\mathbb{E}(Y^n)$ for odd and even $n$ using the expectation of $G\sim \text{Gamma}(\alpha,\beta)$

Published on 25 Mar 2026 - 6:06

score 169 · Answer 12 · 2018-07-02 07:32:31

169

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"Distribution" of numbers $0\leq a\leq b\leq c\leq d\leq 1$

Published on 02 Jul 2018 - 7:32

score 64 · Answer 13 · 2026-04-11 20:47:45

64

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CLT with random (Binomial) number of summands

Published on 11 Apr 2026 - 20:47

score 660 · Answer 14 · 2018-07-02 08:25:19

660

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Where Gaussian Random Distribution came from?

Published on 02 Jul 2018 - 8:25

score 156 · Answer 15 · 2026-03-28 16:25:55

156

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If $X_i$ is a log-normal r.v., show $X=\prod_{i=1}^{n} X_i$ is also a log-normal r.v.

Published on 28 Mar 2026 - 16:25

List Question

Show for $\ c>0\ $ that $\ cY\sim \ \text{Gamma}(\alpha,c\beta)$

The advantage of empirical likelihood

Stationary of Moving Average Process

If random variables $X, Y$ have joint PDF $f(x, y) = g(x)h(y)$ for some functions $g$ and $h$ then $X, Y$ are independent?

Show that for $i=1,..,n, \ X^2_i\sim \text{Gamma}(1,\frac{1}{\pi\lambda})$

Best books for learning statistics

Finding the PDF of $\ T=\frac{\pi}{n}\sum_{i=1}^{n} X^2_i$

Sample variance recursive relation. $n S_{n+1}^2 = (n-1)S_n^2 + \big( \frac{n}{n+1}\big) (X_n - \overline{X}_{n-1})^2$

Why isn't the linear regression coefficient not just the average vector to data points?

Binomial Coefficient Summation Equivalence

For $Y\sim N(0,\sigma^2)$, find $\mathbb{E}(Y^n)$ for odd and even $n$ using the expectation of $G\sim \text{Gamma}(\alpha,\beta)$

"Distribution" of numbers $0\leq a\leq b\leq c\leq d\leq 1$

CLT with random (Binomial) number of summands

Where Gaussian Random Distribution came from?

If $X_i$ is a log-normal r.v., show $X=\prod_{i=1}^{n} X_i$ is also a log-normal r.v.

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