scispace - formally typeset
Search or ask a question

Showing papers on "Sequential probability ratio test published in 1969"


Journal ArticleDOI
B. K. Ghosh1
TL;DR: In this paper, approximate expressions for the first four moments of the distribution of sample size required by a sequential probability ratio test are given, and some possible uses of these moments are also discussed.
Abstract: Approximate expressions are given for the first four moments of the distribution of sample size required by a sequential probability ratio test. Some possible uses of these moments are also discussed.

9 citations


01 Feb 1969
TL;DR: In this article, the authors used Wald's sequential analysis to develop two sequential rank tests, one of which is a sequential extension of Wilconon's rank test and the other is an alternative of the Lehmann class.
Abstract: : Independent observations are taken in groups of size N sequentially. An hypothesis of symmetry about the origin for the distribution is compared with an alternative of the Lehmann class. Wald's sequential analysis is used to develop two sequential rank tests, one of which is a sequential extension of Wilconon's rank test.

2 citations


01 Feb 1969
TL;DR: In this paper, a catalog of 442 Bernoulli sampling plans which approximately minimize the maximum expected sample size among all plans which guarantee certain O.C.N. probability requirements is presented.
Abstract: : The author, in his masters thesis, constructed a catalog of 442 Bernoulli sampling plans which approximately minimize the maximum expected sample size among all plans which guarantee certain O.C. probability requirements. Fifty-two of these plans (which would appear to be of greatest practical interest) are presented in this report. A.S.N. curve comparisons are made with plans based on the Wald sequential probability ratio test and the fixed sample size test which guarantee the same O.C. probability requirements.

2 citations


Journal ArticleDOI
TL;DR: In this article, a technique for applying the closed sequential test of two treatments when subjects are paired in a many-to-one ratio was described, where the observations were from continuous distributions and the ranks of the observations are given.
Abstract: This article describes a technique for applying the closed sequential test of two treatments when subjects are paired in a many-to-one ratio. It is assumed that the observations are from continuous distributions and the ranks of the observations are given. Existing closed sequential designs can be applied after a binomial random variable is defined on the rank. In particular, the application of Armitage's plan is discussed along with the results of a Monte Carlo experiment.

1 citations


Book ChapterDOI
K.S. Fu1
01 Jan 1969
TL;DR: This paper is concerned with the application of sequential decision procedures to pattern recognition problems when the costs of feature measurements are of considerable importance, and three techniques are discussed, namely, the modified sequential probability ratio test, the backward procedure using dynamic programming, and the nonparametric sequential ranking procedure.
Abstract: This paper is concerned with the application of sequential decision procedures to pattern recognition problems when the costs of feature measurements are of considerable importance. Three techniques are discussed, namely, the modified sequential probability ratio test (with time-varying stopping boundaries), the backward procedure using dynamic programming, and the nonparametric sequential ranking procedure. Two-class classification problems are first treated. Generalized procedures for multi-class problems are then given. In addition to classification problems, the backward procedure has also been applied to feature ordering and selection in sequential recognition processes. Computer simulated experiments in character recognition are presented to illustrate the proposed approaches.