ABSTRACT

If Z(t) is taken to be standard Gaussian white noise then R(t)2/Σ(t)2 = Z(t)2 follows a χ2-distribution with one degree of freedom. For any interval I = [t j, tk] this implies

P

where of freedom. an αn such that

P

( qchisq((1−αn)/2, |I|)≤∑

Σ(ti)2 ≤ qchisq((1+αn)/2, |I|)∀I ∈In

) = α.