
Accession Number : AD0668152
Title : ON SOME RESULTS CONCERNING STOPPING RULES.
Descriptive Note : Technical rept.,
Corporate Author : JOHNS HOPKINS UNIV BALTIMORE MD DEPT OF STATISTICS
Personal Author(s) : Gleser,Leon J. ; Zacks,S.
Report Date : FEB 1968
Pagination or Media Count : 22
Abstract : As a part of the investigation of sequential fixedwidth confidence interval procedures for estimating the common mean of two distributions having unequal variances, it was found necessary to extend some of the results of Chow and Robbins (Ann. Math. Statist. 36 (1965) 457462) to cover somewhat more general kinds of stopping rules. For example, although Chow and Robbins treat only onesided stopping boundaries, the present investigation requires one to consider twosided (or even manysided) stopping boundaries. Further, some of the boundaries of interest have a slightly more general functional form than do the stopping boundaries discussed in the ChowRobbins paper. The results given in the present paper provide firstorder asymptotic results for the distribution and expected value of the various stopping variables N (the random number of observations taken) considered, the form of the results being similar to those announced in the ChowRobbins paper referred to above. (Author)
Descriptors : (*STATISTICAL DISTRIBUTIONS, CONFIDENCE LIMITS), ANALYSIS OF VARIANCE, DECISION THEORY, SAMPLING, RANDOM VARIABLES, SEQUENCES(MATHEMATICS), CONVERGENCE, THEOREMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE