Journal ArticleDOI
Inverse Sampling Based on General Scores for Non-Parametric Two-Sample Problems
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In this paper, the identity of two univariate distribution functions F1(x) and F9(x), when there is a sample of fixed size from F1 (x), and the observations (Y) from F2 (x) are drawn sequentially, is investigated.Abstract:
The problem considered in this paper is that of testing the identity of two univariate distribution functions F1(x) and F9(x) when there is a sample of fixed size from F1 (x) and the observations (Y) from F2(x) are drawn sequentially. Two score functions 4> 1(u), 0 < u < 1, l= I, 2, which reflect departures from the null hypothesis in specific ways are taken. Writing F~. (x) for a certain uniformly consistent estimate of F1 (x) based on the first sample, sums of the type S,. 01 = £ 4> 1 (Ft. (Y;)) are calculated for successive observations ;-1 on Y. Observation is stopped as soon as S,. ( 11 reaches a pre-fixed upper bound. The hypothesis is rejected or accepted on the basis of the terminal value of Sn <•>. Different large sample procedures based on this approach are formulated and examined.read more
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Nonparametric Partial Sequential Test for Location Shift at an Unknown Time Point
TL;DR: In this paper, a partial sequential sampling scheme is introduced to develop a sequential rank-based nonparametric test for the identity of two unknown univariate continuous distribution functions against one-sided shift in location occurring at an unknown time point.
Journal ArticleDOI
Nonparametric Partial Sequential Tests for Patterned Alternatives in Multisample Problems
TL;DR: In this paper, partial sequential nonparametric tests for multiple comparison are presented. Butler et al. provide tests for the identity of several unknown univariate continuous distribution functions against patterned alternatives based on Wilcoxon score.
Journal ArticleDOI
Controlling Type-I Error Rate in Monitoring Structural Changes Using Partially Sequential Procedures
TL;DR: Some asymptotically power is developed on partially sequential nonparametric tests for monitoring structural changes based on Wilcoxon score and it is seen that one of the proposed procedures significantly controls the Type I error rate.
Journal ArticleDOI
Some Rank-Based Two-Phase Procedures in Sequential Monitoring of Exchange Rate
TL;DR: In this article, the authors address the issues identifying warning and action points in a time sequential monitoring of the exchange rate records and develop some approximate power 1 partially sequential nonparametric tests that are based on both usual and sequential ranks.
Journal ArticleDOI
Simultaneous tests for patterned recognition using nonparametric partially sequential procedure
TL;DR: In this paper, a partially sequential sampling procedure was proposed to develop a nonparametric method for simultaneous testing, which is motivated by an interesting investigation related to arsenic contamination in ground water.
References
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Journal ArticleDOI
On a Class of Partially Sequential Two-Sample Test Procedures
TL;DR: In this paper, a class of test procedures for the two-sample setting when one of the samples has a fixed sample size, and the second is obtained by an inverse binomial sequential sampling scheme is proposed.
Journal ArticleDOI
Semi-Sequential Nonparametric tests for two Populations with one Sample size fixed:
TL;DR: In this article, it was shown that the conditional argument given in support of this was not correct, and hence, Theorem 3.1 holds, This can be seen as follows: it may be verified that {S n.m ; l <;n < r} where S n m is given by ( 3.4 ), is a martingale sequence uader 8 0 • Applying Theorem 2 of Brown (1971, p 60), it can be easily shown that under H 0, for fixed t,
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