Accession Number:

AD0787552

Title:

Asymptotic Theory of Sequential Fixed-Width ConfidenceIntervals for Location Parameters,

Descriptive Note:

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s):

Report Date:

1974-09-01

Pagination or Media Count:

32.0

Abstract:

Consider a sequence of confidence intervals I sub n with widths 2D sub n and noncoverage probabilities 2alpha sub n. Previous sequential solutions to the problem of finding a short confidence interval with a high coverage probability have taken the following approach Introduce a stopping rule nualpha,d to be used with a sequence of intervals and designed to select an interval of width 2d which is such that, as d nears 0, the coverage probability 1 - 2alpha sub n nears 1 - 2 alpha for preassigned alpha 0. In the present investigation, the authors are concerned with the fixed-width d fixed case and are primarily interested in rules which perform well as alpha nears 0. A general approach toward solution of this problem in the case of a location parameter is presented and applied in connection with confidence intervals based on the sample mean and with confidence intervals based on the sample median. Asymptotic relative efficiencies are provided. Author

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE