Confidence interval Concept Check
1 point possible (graded)
As in the previous section, let X1,…,Xn∼iidexp(λ) . Let
λˆn:=n∑ni=1Xi
denote an estimator for λ . We know by now that λˆn is a consistent and asymptotically normal estimator for λ .
Recall qα/2 denote the 1−α/2 quantile of a standard Gaussian. By the Delta method:
λ∈[λˆn−qα/2λn−−√,λˆn+qα/2λn−−√]=:I
with probability 1−α . However, I is still not a confidence interval for λ .
Why is this the case?
0 answers