Statistical independence, what is it? I mean really, what is it?? [General Sta­tis­tics]

posted by ElMaestro  – Belgium?, 2020-07-01 09:42 (112 d 08:12 ago) – Posting: # 21628
Views: 2,389

Thanks Martin,

» Two random variables X and Y are independent if and only if the events {X ≤ x} and {Y ≤ y} are independent for all x and y, that is, F(x, y) = F X (x)F Y (y), where F(x, y) is the joint cumulative distribution function and F X and F Y are the marginal cumulative distribution functions of X and Y, respectively.

thanks for the posts.
I think now we are in the right direction, not confounding independence with correlation.
Given a sample x1,x2....xn, from which we estimate mean and variance, would we under the quote above consider the estimated mean and the estimated variance "random variables" in their own right, or is this immaterial to the issue at hand?

I could be wrong, but...

Best regards,
ElMaestro

No, of course you do not need to audit your CRO if it was inspected in 1968 by the agency of Crabongostan.

Complete thread:

Activity
 Admin contact
21,173 posts in 4,412 threads, 1,476 registered users;
online 10 (0 registered, 10 guests [including 2 identified bots]).
Forum time: Wednesday 17:54 CEST (Europe/Vienna)

But it is in matters beyond the limits of mere rule
that the skill of the analyst is evinced.
He makes in silence a host of observations and inferences…    Edgar Allan Poe

The Bioequivalence and Bioavailability Forum is hosted by
BEBAC Ing. Helmut Schütz
HTML5