Concentration inequalities for sampling without replacement

@article{Bardenet2015ConcentrationIF,
  title={Concentration inequalities for sampling without replacement},
  author={R. Bardenet and O. Maillard},
  journal={Bernoulli},
  year={2015},
  volume={21},
  pages={1361-1385}
}
  • R. Bardenet, O. Maillard
  • Published 2015
  • Mathematics
  • Bernoulli
  • Concentration inequalities quantify the deviation of a random variable from a fixed value. In spite of numerous applications, such as opinion surveys or ecological counting procedures , few concentration results are known for the setting of sampling without replacement from a finite population. Until now, the best general concentration inequality has been a Hoeffding inequality due to ?. In this paper, we first improve on the fundamental result of ?, and further extend it to obtain a Bernstein… CONTINUE READING
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