How Many Geometric (p) Samples does it take to See all the Balls in a Box?

Abstract

Reach into a box containing m balls and pull out a geometric (p) - sized sample. Then put the balls back into the box and sample again. Let X be the number of samples needed to see all m balls. We derive nonrecursive approximation formulas for the mean and standard deviation of X.

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Document Details

Document Type
Technical Report
Publication Date
Dec 07, 1992
Accession Number
ADA258776

Entities

People

  • John Overdeck
  • Thomas Sellke

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Binomials
  • California
  • Contracts
  • Data Science
  • Governments
  • Information Science
  • Markov Chains
  • Military Research
  • Probability
  • Random Variables
  • Sampling
  • Standards
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Marksmanship and Weaponry.
  • Regression Analysis.