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Stopping Times of Some One-Sample Sequential Rank Tests

Harrison D. Weed Jr., Ralph A. Bradley, Z. Govindarajulu

The Annals of Statistics · 1974 · Volume 2 · Issue 6

DOI: 10.1214/aos/1176342884

Abstract

Two models for modified, one-sample, sequential probability ratio tests based on Lehmann alternatives are considered, one developed by Weed and Bradley and one by Govindarajulu. It is shown how they are related. Sure termination of the SPRT's is established under very general conditions.

Keywords

62G10, 62L10, Lehmann alternatives, nonparametric statistics, sequential probability ratio tests, signed ranks, stopping times

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