List questions from probability-distributions

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Are Bernoulli distributions R-sub-Gaussian?

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Minimal sufficient statistics for normal distributions

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$Z=X+Y$,when $X$ and $Y$ are gaussian distribution ,must $Z$ be the gaussian distribution,too?

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Two Independent Random Variable

Published on 15 May 2018 - 5:09

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Expected sum of Poisson Process

Published on 15 May 2018 - 7:52

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A random variable Y can only take values in {−5, 0, 5}. The expected value of Y is 0 and its variance is 24. Find the probability distribution of Y .

Published on 15 May 2018 - 10:09

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Proving normal distribution is a probability measure/ Sigma additivity

Published on 15 May 2018 - 11:08

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Probability distribution of faulty buses made during one week

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Independence of Distributions in Statistics

Published on 15 May 2018 - 12:37

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Prove that $E\!\left[\sum_{i=1}^NX_i\right]=\mu E[N]$

Published on 15 May 2018 - 14:49

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IID discrete but not a.s. equal

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Use the central limit theorem to give an approximate 95% confidence interval for $c.$

Published on 15 May 2018 - 16:58

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Make a symmetric confidence interval for µ at the 99% confidence level.

Published on 15 May 2018 - 17:31

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Why does $P(\max(X,Y)\leq x) = P(X\le x \ \cap \ Y\le x)$ involve intersection and not union?

Published on 15 May 2018 - 18:56

List Question

Estimating standard deviation from first differences

Are Bernoulli distributions R-sub-Gaussian?

Minimal sufficient statistics for normal distributions

$Z=X+Y$,when $X$ and $Y$ are gaussian distribution ,must $Z$ be the gaussian distribution,too?

Two Independent Random Variable

Expected sum of Poisson Process

A random variable Y can only take values in {−5, 0, 5}. The expected value of Y is 0 and its variance is 24. Find the probability distribution of Y .

Proving normal distribution is a probability measure/ Sigma additivity

Probability distribution of faulty buses made during one week

Independence of Distributions in Statistics

Prove that $E\!\left[\sum_{i=1}^NX_i\right]=\mu E[N]$

IID discrete but not a.s. equal

Use the central limit theorem to give an approximate 95% confidence interval for $c.$

Make a symmetric confidence interval for µ at the 99% confidence level.

Why does $P(\max(X,Y)\leq x) = P(X\le x \ \cap \ Y\le x)$ involve intersection and not union?

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