List questions from independence

43

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Examples of situation in which two events are independent but one event can be predicted perfectly once we know if the other happened or not.

Published on 09 Oct 2016 - 21:35

733

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If $X$ is independent of $Y$ and $Z$, then $X$ is independent of $(Y,Z)$

Published on 11 Oct 2016 - 12:55

660

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Independence and dependence transitive?

Published on 12 Oct 2016 - 7:24

815

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Exercise on martingale and sub/supermartingale

Published on 29 Mar 2026 - 7:22

74

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Show that the events $\{X ≤ a\}$ and $\{Y ≤ b\}$ are independent.

Published on 12 Oct 2016 - 18:23

2.1k

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Flipping a coin and conditional probability

Published on 12 Oct 2016 - 23:43

55

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Independence of random variables.

Published on 13 Oct 2016 - 13:27

23

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Independence of tigonometric functions

Published on 13 Oct 2016 - 14:52

157

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Show that two event fields are independent

Published on 14 Oct 2016 - 13:56

156

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Moment generating function and independence

Published on 27 Mar 2026 - 23:12

221

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Independence of random vectors if the coordinates are independent

Published on 16 Oct 2016 - 11:46

436

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Suppose that $Y_1,...,Y_n$ is a set of random variables that satisfy the model $Y_i=\theta x_i+e_i$, $i=1,...,n$. Find the MOM and MLE

Published on 27 Mar 2026 - 21:57

5.7k

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Probability that any $n$ independent events occur

Published on 16 Oct 2016 - 23:48

2.3k

Views

Conditional or independent probability problem?

Published on 17 Oct 2016 - 3:05

55

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Mutually independent Problem

Published on 17 Oct 2016 - 19:15

List Question

Examples of situation in which two events are independent but one event can be predicted perfectly once we know if the other happened or not.

If $X$ is independent of $Y$ and $Z$, then $X$ is independent of $(Y,Z)$

Independence and dependence transitive?

Exercise on martingale and sub/supermartingale

Show that the events $\{X ≤ a\}$ and $\{Y ≤ b\}$ are independent.

Flipping a coin and conditional probability

Independence of random variables.

Independence of tigonometric functions

Show that two event fields are independent

Moment generating function and independence

Independence of random vectors if the coordinates are independent

Suppose that $Y_1,...,Y_n$ is a set of random variables that satisfy the model $Y_i=\theta x_i+e_i$, $i=1,...,n$. Find the MOM and MLE

Probability that any $n$ independent events occur

Conditional or independent probability problem?

Mutually independent Problem

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