Читать книгу Sampling and Estimation from Finite Populations - Yves Tille - Страница 49
Proof:
ОглавлениеBy expanding the square of Expression (2.4), we obtain
(2.5)
Under a design with fixed sample size, it has been proved in Result 2.2, page 16, that
The first two terms of Expression (2.5) are therefore null and we find the expression of Result 2.5.
In order to estimate the variance, we use the following general result:
