English

Large sample properties of the Midzuno sampling scheme with probabilities proportional to size

Statistics Theory 2019-10-17 v2 Statistics Theory

Abstract

Midzuno sampling enables to estimate ratios unbiasedly. We prove the asymptotic normality for estimators of totals and ratios under Midzuno sampling. We also propose consistent variance estimators.

Keywords

Cite

@article{arxiv.1809.10899,
  title  = {Large sample properties of the Midzuno sampling scheme with probabilities proportional to size},
  author = {Guillaume Chauvet},
  journal= {arXiv preprint arXiv:1809.10899},
  year   = {2019}
}