AN APPROXIMATION FOR N, THE UPPER 100GAMMA% CONFIDENCE BOUND ON THE NUMBER OF THETRIAL ON WHICH THE RTH SUCCESS OCCURS IN A BERNOULLI EXPERIMENT.

Abstract

The memorandum provides a close approximation to N, the upper 100gamma% confidence bound on the number of the trial on which the rth success occurs in a sequence of Bernoulli trials, when p, the probability of success on a single trial, is small. Constants which are used in the approximation are derived for r = 1, 2, and 3, and gamma = 0.90, 0.95, and 0.99, and the methodology for their derivation is set forth for extended values of r and gamma. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0639801

Entities

People

  • M. A. Thomas

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

DTIC Thesaurus Topics

  • Probability
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Linear Algebra
  • Solar Physics