Question

Continuous differentiability of $\log({\bf{E}}\exp{\lambda X})$ in a given fixed domain

score 41 · Answer 1 · 2026-04-12 14:48:07

41

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Continuous differentiability of $\log({\bf{E}}\exp{\lambda X})$ in a given fixed domain

Published on 12 Apr 2026 - 14:48

score 2.9k · Answer 2 · 2026-04-13 16:50:06

2.9k

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Expected value $\frac{1}{x+1}$ of Poisson distribution

Published on 13 Apr 2026 - 16:50

score 1.2k · Answer 3 · 2026-04-16 17:07:47

1.2k

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Conditional expectation of two exponential random variables

Published on 16 Apr 2026 - 17:07

score 805 · Answer 4 · 2026-04-14 17:40:00

805

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Let $\Phi$ be the distribution function of $Z \sim N(0,1)$.Find $E[Z \Phi(Z)]$ and $E[Z^2 \Phi(Z)]$.

Published on 14 Apr 2026 - 17:40

score 1.3k · Answer 5 · 2026-04-14 03:32:23

1.3k

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On the relation of the expected squared norm of a random vector with its dimensionality

Published on 14 Apr 2026 - 3:32

score 1.2k · Answer 6 · 2026-04-11 19:35:20

1.2k

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Fubini's Theorem and Integral Bounds

Published on 11 Apr 2026 - 19:35

score 206 · Answer 7 · 2026-04-16 05:17:45

206

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$P(X=x, Y=y)= e^{-2}\binom{x}{y} \frac{3}{4}^{y}\frac{1}{4}^{x-y}\frac{2^{x}}{x!}$ ; Then $E(Y)$?

Published on 16 Apr 2026 - 5:17

score 8k · Answer 8 · 2026-04-15 02:02:55

8k

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What is the expected number of runs of same color in a standard deck of cards?

Published on 15 Apr 2026 - 2:02

score 46.9k · Answer 9 · 2026-04-14 13:30:37

46.9k

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An ant walk on the edges of a cube where it can select any of the 3 adjoining vertices with equal probability.

Published on 14 Apr 2026 - 13:30

score 7.9k · Answer 10 · 2026-04-12 14:48:37

7.9k

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Minimum variance unbiased estimator for scale parameter of a certain gamma distribution

Published on 12 Apr 2026 - 14:48

score 52.8k · Answer 11 · 2026-04-10 23:07:49

52.8k

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Intuition behind using complementary CDF to compute expectation for nonnegative random variables

Published on 10 Apr 2026 - 23:07

score 106 · Answer 12 · 2026-04-11 06:38:02

106

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Statistics: Maximising expected value of a function of a random variable

Published on 11 Apr 2026 - 6:38

score 2.3k · Answer 13 · 2026-04-10 07:29:29

2.3k

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Alternative Expected Value Proof

Published on 10 Apr 2026 - 7:29

score 3.5k · Answer 14 · 2026-04-13 16:34:51

3.5k

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Distribution of the normal cdf

Published on 13 Apr 2026 - 16:34

score 46.3k · Answer 15 · 2026-04-15 07:25:38

46.3k

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Why does the median minimize $E(|X-c|)$?

Published on 15 Apr 2026 - 7:25

List Question

Continuous differentiability of $\log({\bf{E}}\exp{\lambda X})$ in a given fixed domain

Expected value $\frac{1}{x+1}$ of Poisson distribution

Conditional expectation of two exponential random variables

Let $\Phi$ be the distribution function of $Z \sim N(0,1)$.Find $E[Z \Phi(Z)]$ and $E[Z^2 \Phi(Z)]$.

On the relation of the expected squared norm of a random vector with its dimensionality

Fubini's Theorem and Integral Bounds

$P(X=x, Y=y)= e^{-2}\binom{x}{y} \frac{3}{4}^{y}\frac{1}{4}^{x-y}\frac{2^{x}}{x!}$ ; Then $E(Y)$?

What is the expected number of runs of same color in a standard deck of cards?

An ant walk on the edges of a cube where it can select any of the 3 adjoining vertices with equal probability.

Minimum variance unbiased estimator for scale parameter of a certain gamma distribution

Intuition behind using complementary CDF to compute expectation for nonnegative random variables

Statistics: Maximising expected value of a function of a random variable

Alternative Expected Value Proof

Distribution of the normal cdf

Why does the median minimize $E(|X-c|)$?

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