Truncation and acceptance rules for sequential tests of a Bernoulli parameter.
Loading...
Authors
Petersen, Jurgen
Subjects
Sequential Sampling
Binomial Parameter
Truncation
Binomial Parameter
Truncation
Advisors
Lindsay, Glenn F.
Date of Issue
1980-09
Date
1980-09
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
In the paper, Wald's Sequential Probability Ratio test for a Bernoulli parameter is studied to assess the influence of truncation on the tree probabilities of error of the first and second kind. It is shown that a natural truncation point exists for every SPR test such that the desired error probabilities are not exceeded. Extended acceptance rules were described whose use allows truncation comparatively early when certain sample sizes are picked. The true error probabilities achieved are either both smaller or equal to the desired ones or one is smaller or equal and the other is exceeded. In the latter case, that probability of error that shall not be exceeded can be chosen and the other will be as small as possible. A listing of 126 SPR plans useful in quality control applications has been included which gives all described truncation points with the applicable acceptance rules and the values for the true probabilities of error.
Type
Thesis
Description
All original copies missing. Best digital copy available.
Series/Report No
Department
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funding
Format
128 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.