Suppose the parameter of interest is =h (t), where h (t) =at2 + bt + c

Suppose the parameter of interest is θ =h (t), where h (t) =at2 + bt + c and t is the population total. Let ˆθ =h (ṫ). Show, in a stratified random sample with two observations per stratum, that if

Then

The linearization estimator of the variance (see Rao andWu, 1985).