study notes

de

New Member
In the 2011 Study Notes, p18

Multivariate, bullet 3:

Independence => Zero-correlation, but not vice-versa?


Standard Normal Distribution: for the critical values, I find this table more intuitive:

two-tailed one-tailed Critical Value
68% 84% 1.00
90% 95% 1.65
95% 97.5% 1.96
98% 99% 2.33
99% 99.5% 2.58
 

David Harper CFA FRM

David Harper CFA FRM
Subscriber
de -

Property #3 is from the assigned Stock & Watson. You are right to question it; it is not true in general. In general zero correlation/covariance does not imply independence. But here:

"If X and Y are jointly normally distributed, then the converse is also true. This result--that zero covariance implies independence--is a special property of the multivariate normal distribution that is not true in general."

(you were just commenting on the critical Z table-yes? no problem with it?)

Thanks, David
 

de

New Member
David,

a couple more clarifications please:

p121 - in the section "persistence is = (b+c) or (alpha-1+beta)"; can you elaborate on where the term (alpha-1+beta) comes from

p125 - in the formula for Lv, you have 1-alpha+beta; should this be 1-alpha-beta as on p104/105?
 
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