Is a 99\% upper confidence bound the upper limit of

abiejose55d

abiejose55d

Answered question

2022-04-22

Is a 99% upper confidence bound the upper limit of a 99% confidence interval?

Answer & Explanation

tigging9k0

tigging9k0

Beginner2022-04-23Added 19 answers

Step 1
The upper confidence bound would be the χ{0.99}2 value. As a Google seach will show, the term is in fairly common use, and has a standard meaning: "the" point a such that FX(a)=0.99, the point that has 1% of the area in the right tail.
In particular, the 99% upper confidence bound is not the upper limit of a 99% confidence interval with 0.005 in each tail.
For variance particularly, upper confidence bounds are the usual quantity of interest. One wants protection against the variance being "too large."

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