Statistics (Ber). 2012 Jan 1;46(5):663-671. doi: 10.1080/02331888.2010.545408.
ABSTRACT
We extend the random permutation model to obtain the best linear unbiased estimator of a finite population mean accounting for auxiliary variables under simple random sampling without replacement (SRS) or stratified SRS. The proposed method provides a systematic design-based justification for well-known results involving common estimators derived under minimal assumptions that do not require specification of a functional relationship between the response and the auxiliary variables.
PMID:23645951 | PMC:PMC3640589 | DOI:10.1080/02331888.2010.545408
