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Results tagged with independence
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user 76484
Events (or random variables) are independent when information on some of them tells you nothing about the probability of occurrence (/ distribution) of the others. Please DO NOT use this tag for independent variable use [predictor] instead.
3
votes
Accepted
Joint distribution from multivariate Normal distribution
Partial Answer:
Following whuber: In the joint distribution function, we have
\begin{align*}
f(y_1,y_2)&=\frac{e^{-Q/2}}{2\pi\sigma_1\sigma_2\sqrt{1-\rho^2}},\quad\text{where}\\
-\frac{Q}{2}&=-\frac{1 …
- 6,039
4
votes
Understanding the conditional independence rule in chains
I think Pearl is a bit ambiguous. (Thanks to eric_kernfeld for improving my understanding.) From the point-of-view of normal English usage, it is the second understanding. The adjective "unidirectiona …
- 6,039
5
votes
1
answer
151
views
Causality: Models, Reasoning, and Inference: Diagram Question
I am self-studying Causality: Models, Reasoning, and Inference, by Judea Pearl, and there is a question I am particularly stumped on. It reads like this:
Problem Statement: Given this fragment of a B …
- 6,039
5
votes
1
answer
541
views
Zero Covariance vs Independence of Slope and Intercept Estimators in Linear Models with Leas...
Zero covariance does not imply independence in general; why should it be so in this situation? … Note 2: In this thread, Alecos simply makes the argument that I think the book wants here, but doesn't say anything about why zero covariance implies independence. …
- 6,039