List questions from expected-value

Published on 11 Apr 2026 - 20:58

9.5k

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Proof Verification: $\tilde{\beta_1}$ is an unbiased estimator of $\beta_1$ obtained by assuming intercept is zero

Published on 11 May 2026 - 5:06

898

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Expectation of the norm of a Gaussian vector raised to a power

Published on 10 May 2026 - 17:01

63

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Formalise a trick of computing expectations

Published on 11 Apr 2026 - 3:14

75

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On computing a conditional expectation $E[Y|X]$ where $Y$ is not known.

Published on 14 Apr 2026 - 3:31

278

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Why do we use $\lambda$ as a symbol for expected value at Poisson distribution instead of $\mu$?

Published on 09 Apr 2026 - 5:57

1.2k

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(2-D Random Walk) Probability of Returning to Origin

Published on 11 May 2026 - 3:14

1.8k

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Dice game - how do find the expected number of rounds?

Published on 15 Apr 2026 - 11:49

1.2k

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Expected distance between two points inside unit circle

Published on 14 Apr 2026 - 17:57

93

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$E(X_1X_2)=\frac{7}{3}$, $E(X_1)=\frac{3}{2}$.Find the joint distribution of $X_1,X_2$.

Published on 17 Apr 2026 - 10:19

775

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Calculating variance, given g(x) and p(x)

Published on 15 Apr 2026 - 21:11

610

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Expected Value of $X^r$

Published on 10 May 2026 - 11:53

1k

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Can a periodic distribution have an expected value and variance?

Published on 08 Apr 2026 - 19:11

98

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Using Taylor series expansion of random vectors to find expectation

Published on 14 Apr 2026 - 19:55

64

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Expectation of quadratic term with 2 random variables

Published on 11 May 2026 - 0:27

List Question

Convergence in Probability does not imply Convergence in Quadratic Mean: Counterexample

Proof Verification: $\tilde{\beta_1}$ is an unbiased estimator of $\beta_1$ obtained by assuming intercept is zero

Expectation of the norm of a Gaussian vector raised to a power

Formalise a trick of computing expectations

On computing a conditional expectation $E[Y|X]$ where $Y$ is not known.

Why do we use $\lambda$ as a symbol for expected value at Poisson distribution instead of $\mu$?

(2-D Random Walk) Probability of Returning to Origin

Dice game - how do find the expected number of rounds?

Expected distance between two points inside unit circle

$E(X_1X_2)=\frac{7}{3}$, $E(X_1)=\frac{3}{2}$.Find the joint distribution of $X_1,X_2$.

Calculating variance, given g(x) and p(x)

Expected Value of $X^r$

Can a periodic distribution have an expected value and variance?

Using Taylor series expansion of random vectors to find expectation

Expectation of quadratic term with 2 random variables

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