List questions from expectation

Published on 30 Mar 2026 - 6:59

93

Views

If $(Y_n)$ is an adapted sequence of random variables, with $EY_T = 0$, show $EY_n = 0$ for all $n$

Published on 11 Apr 2016 - 19:46

289

Views

Is stating $\operatorname{E}(x) = 0, \operatorname{cov}(y,x)=0$, the same as stating $\operatorname E(y\,|\,x)=0$?

Published on 03 Apr 2026 - 8:14

236

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showing a sequence of random variables is a martingale

Published on 06 Apr 2026 - 13:27

7.9k

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What is the variance of a variable given itself?

Published on 02 Apr 2026 - 16:28

1.7k

Views

Probability question using no-memory property of exponential distribution

Published on 29 Mar 2026 - 15:53

40

Views

Expectation of random variable $f(w) = w$.

Published on 12 Apr 2016 - 19:15

76

Views

Differentiating Laplace transform of random variable

Published on 12 Apr 2016 - 19:25

299

Views

($N_t$) is Poisson process with $\lambda = 1$. Calculate $E(N_2\mid N_1)$ and $E(N_1\mid N_2)$

Published on 29 Mar 2026 - 19:10

16

Views

The expectation number of collision to slow down below certain value

Published on 02 Apr 2026 - 3:47

139

Views

Expectation of random variable and measure transform theorem

Published on 13 Apr 2016 - 9:47

116

Views

Find expected time to reach a point on the x-axis from another point on the x-axis

Published on 13 Apr 2016 - 16:51

1.8k

Views

Lower bound for expectation of absolute sum of Rademacher

Published on 03 Apr 2026 - 21:27

112

Views

Relation between expectation and sample points

Published on 14 Apr 2016 - 9:32

1.1k

Views

Mean of binary random variable with probability $.75$ of getting $1$

Published on 14 Apr 2016 - 15:32

List Question

Determine $E\sum_0^\infty X_n1_{(T=n)}$

If $(Y_n)$ is an adapted sequence of random variables, with $EY_T = 0$, show $EY_n = 0$ for all $n$

Is stating $\operatorname{E}(x) = 0, \operatorname{cov}(y,x)=0$, the same as stating $\operatorname E(y\,|\,x)=0$?

showing a sequence of random variables is a martingale

What is the variance of a variable given itself?

Probability question using no-memory property of exponential distribution

Expectation of random variable $f(w) = w$.

Differentiating Laplace transform of random variable

($N_t$) is Poisson process with $\lambda = 1$. Calculate $E(N_2\mid N_1)$ and $E(N_1\mid N_2)$

The expectation number of collision to slow down below certain value

Expectation of random variable and measure transform theorem

Find expected time to reach a point on the x-axis from another point on the x-axis

Lower bound for expectation of absolute sum of Rademacher

Relation between expectation and sample points

Mean of binary random variable with probability $.75$ of getting $1$

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