Читать книгу Sampling and Estimation from Finite Populations - Yves Tille - Страница 33

Let be a population of size = 3. The sampling design is defined as follows:

and for all other samples. The random sample is of fixed sample size .

The sum of the inclusion probabilities is equal to the sample size. Indeed,

The joint inclusion probabilities are

Therefore, the matrices are

and

We find that the sums of all the rows and all the columns of are null because the sampling design is of fixed sample size