Analytic inference in finite population framework via resampling (1809.08035v1)

Abstract: The aim of this paper is to provide a resampling technique that allows us to make inference on superpopulation parameters in finite population setting. Under complex sampling designs, it is often difficult to obtain explicit results about superpopulation parameters of interest, especially in terms of confidence intervals and test-statistics. Computer intensive procedures, such as resampling, allow us to avoid this problem. To reach the above goal, asymptotic results about empirical processes in finite population framework are first obtained. Then, a resampling procedure is proposed, and justified via asymptotic considerations. Finally, the results obtained are applied to different inferential problems and a simulation study is performed to test the goodness of our proposal.