List questions from normal-distribution

Published on 05 Aug 2019 - 15:15

49

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Verify that $(n-1)s^2(x) = \sum_{k=1}^{n}x_2^k − n\bar{x}^2$

Published on 05 Aug 2019 - 20:49

4.7k

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What is the distribution of the product of a Bernoulli (0,1) & a normal random variable?

Published on 27 Mar 2026 - 3:43

67

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$f(Y|X,Y<X + E_X - E_Y)~= ~?$, where $X,Y\sim N(\mu,\sigma^2)$ and $E_x,E_y\sim N(\epsilon,s^2)$ are mutually independent

Published on 30 Mar 2026 - 0:21

62

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Find bivariate normal coefficients from exponent formula

Published on 25 Mar 2026 - 6:00

814

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Bound on a normal quantile function $\phi(\Phi^{-1}(x)) \ge \sqrt{\frac{2}{\pi}} \min(x,1-x)$

Published on 25 Mar 2026 - 6:19

45

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Probability density function given that the variable is lognormally distributed

Published on 07 Aug 2019 - 16:29

69

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Find joint distribution of same-mean normal variables

Published on 27 Mar 2026 - 12:02

120

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Asymptotic variance of maximum likelihood estimate

Published on 25 Mar 2026 - 7:49

450

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Probability Rabbit in a forest

Published on 08 Aug 2019 - 0:34

230

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Is there a formula to find the p-value from a given z-score?

Published on 23 Feb 2026 - 6:37

120

Views

Expected value of $x^TMy$ for independent Gaussian vectors

Published on 08 Aug 2019 - 14:00

31

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How to perform updates on multivariate normals?

Published on 27 Mar 2026 - 12:08

182

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Can we say that 2 Gaussian random variables are independent if their bivariate normal joint density are standard?

Published on 10 Aug 2019 - 5:47

78

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Prove that $T=\frac{2X}{\sqrt{Y}} \sim t_4$ where $X \sim N(0,1)$ and $Y \sim \chi^2_4$

Published on 11 Aug 2019 - 14:50

List Question

validity of a PDFfunction .

Verify that $(n-1)s^2(x) = \sum_{k=1}^{n}x_2^k − n\bar{x}^2$

What is the distribution of the product of a Bernoulli (0,1) & a normal random variable?

$f(Y|X,Y<X + E_X - E_Y)~= ~?$, where $X,Y\sim N(\mu,\sigma^2)$ and $E_x,E_y\sim N(\epsilon,s^2)$ are mutually independent

Find bivariate normal coefficients from exponent formula

Bound on a normal quantile function $\phi(\Phi^{-1}(x)) \ge \sqrt{\frac{2}{\pi}} \min(x,1-x)$

Probability density function given that the variable is lognormally distributed

Find joint distribution of same-mean normal variables

Asymptotic variance of maximum likelihood estimate

Probability Rabbit in a forest

Is there a formula to find the p-value from a given z-score?

Expected value of $x^TMy$ for independent Gaussian vectors

How to perform updates on multivariate normals?

Can we say that 2 Gaussian random variables are independent if their bivariate normal joint density are standard?

Prove that $T=\frac{2X}{\sqrt{Y}} \sim t_4$ where $X \sim N(0,1)$ and $Y \sim \chi^2_4$

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