9. The Sufficient Statistic in Sampling

  1. Steven K. Thompson

Published Online: 10 FEB 2012

DOI: 10.1002/9781118162934.ch9

Sampling, Third Edition

Sampling, Third Edition

How to Cite

Thompson, S. K. (2012) The Sufficient Statistic in Sampling, in Sampling, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118162934.ch9

Author Information

  1. Simon Fraser University, Canada

Publication History

  1. Published Online: 10 FEB 2012
  2. Published Print: 23 FEB 2012

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. Walter A. Shewhart and
  2. Samuel S. Wilks

ISBN Information

Print ISBN: 9780470402313

Online ISBN: 9781118162934



  • set of distinct, labeled observations;
  • minimal, statistic, unordered, observations;
  • model-based predictive, predictive sufficiency


This chapter contains sections titled:

  • The Set of Distinct, Labeled Observations

  • Estimation in Random Sampling with Replacement

  • Estimation in Probability-Proportional-to-Size Sampling

  • Comments on the Improved Estimates