Question

Difference between $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n}$ and $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n-1}$

score 156 · Answer 1 · 2018-04-16 16:26:25

156

Views

Difference between $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n}$ and $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n-1}$

Published on 16 Apr 2018 - 16:26

score 90 · Answer 2 · 2018-04-16 16:47:57

90

Views

Is this proof of the Law of Total Probability correct?

Published on 16 Apr 2018 - 16:47

score 4k · Answer 3 · 2026-03-25 04:09:42

4k

Views

Constant random variable

Published on 25 Mar 2026 - 4:09

score 338 · Answer 4 · 2026-03-27 16:05:10

338

Views

Find the distribution function of $Z = X^{-1}$ where $X$ is Cauchy distributed.

Published on 27 Mar 2026 - 16:05

score 594 · Answer 5 · 2026-03-25 05:00:04

594

Views

Most Powerful Test Among Two Distributions (Hypothesis Testing / Decision Rule)

Published on 25 Mar 2026 - 5:00

score 358 · Answer 6 · 2018-04-16 22:26:00

358

Views

Cumulative distribution of Z=X^Y

Published on 16 Apr 2018 - 22:26

score 3.4k · Answer 7 · 2018-04-17 08:28:51

3.4k

Views

Derivation of the kth moment of an exponential distribution

Published on 17 Apr 2018 - 8:28

score 449 · Answer 8 · 2026-03-25 09:43:14

449

Views

Deriving the joint MGF for $U = XY + (1-X)Z$, $X \sim \text{Bernoulli}(p=1/3), Y \sim \text{Exp}(\theta = 2), Z \sim \text{Poi}(\lambda = 3)$

Published on 25 Mar 2026 - 9:43

score 167 · Answer 9 · 2018-04-17 19:20:13

167

Views

$X,Y$ are independent random variables of the same "type". When is $Y$ the same "type" when conditioned on $X+Y=z$?

Published on 17 Apr 2018 - 19:20

score 37 · Answer 10 · 2018-04-17 20:17:51

37

Views

Does the pdf $f(x)=\frac{\Phi(x-c)-\Phi(x)}{c}$ have a name?

Published on 17 Apr 2018 - 20:17

score 136 · Answer 11 · 2018-04-17 20:22:44

136

Views

Set of Poisson distributions given a Gamma distribution

Published on 17 Apr 2018 - 20:22

score 36 · Answer 12 · 2018-04-17 20:47:35

36

Views

Odds of placing top 20 in a contest of 200 participants out of 5 contests with the first score being 193

Published on 17 Apr 2018 - 20:47

score 300 · Answer 13 · 2026-03-26 01:09:40

300

Views

Proof of Chernoff's Inequality

Published on 26 Mar 2026 - 1:09

score 58 · Answer 14 · 2018-04-17 21:57:43

58

Views

Find the distribution of X

Published on 17 Apr 2018 - 21:57

score 43 · Answer 15 · 2026-03-26 09:48:28

43

Views

Choose c so that f is a density function

Published on 26 Mar 2026 - 9:48

List Question

Difference between $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n}$ and $\frac {\sum_{i=1}^n (Y_i - \bar{Y})^{2}}{n-1}$

Is this proof of the Law of Total Probability correct?

Constant random variable

Find the distribution function of $Z = X^{-1}$ where $X$ is Cauchy distributed.

Most Powerful Test Among Two Distributions (Hypothesis Testing / Decision Rule)

Cumulative distribution of Z=X^Y

Derivation of the kth moment of an exponential distribution

Deriving the joint MGF for $U = XY + (1-X)Z$, $X \sim \text{Bernoulli}(p=1/3), Y \sim \text{Exp}(\theta = 2), Z \sim \text{Poi}(\lambda = 3)$

$X,Y$ are independent random variables of the same "type". When is $Y$ the same "type" when conditioned on $X+Y=z$?

Does the pdf $f(x)=\frac{\Phi(x-c)-\Phi(x)}{c}$ have a name?

Set of Poisson distributions given a Gamma distribution

Odds of placing top 20 in a contest of 200 participants out of 5 contests with the first score being 193

Proof of Chernoff's Inequality

Find the distribution of X

Choose c so that f is a density function

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