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11. Finite Sampling Models

Summary

This chapter explores a number of models and problems based on sampling from a finite population. Sampling without replacement from a population of objects of various types leads to the hypergeometric and multivariate hypergeometric models. Sampling with replacement from a finite population leads naturally to the birthday and coupon-collector problems. Sampling without replacement form an ordered population leads naturally to the matching problem and to the study of order statistics.

Topics

  1. Introduction
  2. The Hypergeometric Distribution
  3. The Multivariate Hypergeometric Distribution
  4. Order Statistics
  5. The Matching Problem
  6. The Birthday Problem
  7. The Coupon Collector Problem
  8. Pólya's Urn Process
  9. The Secretary Problem

Apps

Related Topics

Sources and Resources

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