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Confidence Intervals Stratified Random Sampling: Estimators and Variances

For the particular case for which each layer is made simple random sampling,

, it says that the sample design is stratified random sampling and inclusion pobabilidades are

and estimators take the form:

• For total : .

• For half : .

• To share : .

Whose estimated variances are as follows:

• For total : .

• For half : .

• To share : .

should be noted that estimates of these variances match with estimates of Yates - Grundy.