Abstract
In adaptive designs defined by selecting an initial simple random sample with or without replacement, the sample mean estimator is unbiased only if the initial sample is used, whereas, it is biased when a sample obtained at the end of the adaptive procedure is considered. In the last situation the estimator has been opportunely modified (Thompson and Seber 1996). However, for several estimators different from mean, such as the variance, the construction, in adaptive design, of a corresponding unbiased estimator has not been solved.
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