List questions from expected-value

Published on 11 Apr 2026 - 23:34

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Expected Value of Absolute Value of Difference between Two Independent Uniform Random Variables

Published on 12 Apr 2026 - 16:03

1.3k

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Are $\beta_0$ and $\beta_1$ unbiased estimators of $\hat\beta_0$ and $\hat\beta_1$?

Published on 14 Apr 2026 - 18:47

25

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I need. to find $E\exp(luX_{t})$, where $ u \in \mathbb R$

Published on 24 Apr 2026 - 16:19

25

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I need to find $Emax_{t \in [T, 2T]} |W_{t}|$

Published on 24 Apr 2026 - 16:23

108

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Why is the formula for expectation as is in this question?

Published on 13 Apr 2026 - 22:01

82

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Proof that $E[X_t] \leq E[G_t]$ for $t \geq 0$ implies $E[X_\tau] \leq E[G_\tau]$ for bounded stopping times $\tau$?

Published on 15 Apr 2026 - 13:37

139

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Expected value of a selection with displacement

Published on 11 Apr 2026 - 19:19

89

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What can we say about $\mathbb{E} \left(\frac{1}{\sum_{i=1}^N X_i}\right)$?

Published on 14 Apr 2026 - 11:11

116

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How do I calculate this gaussian integral

Published on 08 Apr 2026 - 17:47

626

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Optimal strategy for gambling given the probability of winning each round

Published on 15 Apr 2026 - 13:25

193

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Is the law of unconscious statistician always true?

Published on 12 Apr 2026 - 13:27

142

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Variance of conditional geometric random variable

Published on 15 Apr 2026 - 3:37

42

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A mean related to a continuous random variable

Published on 11 Apr 2026 - 14:36

107

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Moment of a probability mass function

Published on 12 Apr 2026 - 3:46

List Question

Computation of the expectation

Expected Value of Absolute Value of Difference between Two Independent Uniform Random Variables

Are $\beta_0$ and $\beta_1$ unbiased estimators of $\hat\beta_0$ and $\hat\beta_1$?

I need. to find $E\exp(luX_{t})$, where $ u \in \mathbb R$

I need to find $Emax_{t \in [T, 2T]} |W_{t}|$

Why is the formula for expectation as is in this question?

Proof that $E[X_t] \leq E[G_t]$ for $t \geq 0$ implies $E[X_\tau] \leq E[G_\tau]$ for bounded stopping times $\tau$?

Expected value of a selection with displacement

What can we say about $\mathbb{E} \left(\frac{1}{\sum_{i=1}^N X_i}\right)$?

How do I calculate this gaussian integral

Optimal strategy for gambling given the probability of winning each round

Is the law of unconscious statistician always true?

Variance of conditional geometric random variable

A mean related to a continuous random variable

Moment of a probability mass function

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