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November, 1973 A Best Sequential Test for Symmetry When the Probability of Termination is Not One
David L. Burdick
Ann. Statist. 1(6): 1195-1199 (November, 1973). DOI: 10.1214/aos/1176342568

Abstract

A sequential test of a statistical hypothesis $H_0$ versus $H_1$ is said to be a test of Robbins type if there is a positive probability that the test will not stop if $H_0$ is true. Tests of this nature were introduced for testing the Bernoulli case by Darling and Robbins [1]; an earlier paper of Farrell [2] deals implicitly with the asymptotic expected sample size of such tests for testing the hypothesis $\theta = 0$ in the parametrized family of generalized density functions $h(\theta)e^{\theta x} d\mu$.

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David L. Burdick. "A Best Sequential Test for Symmetry When the Probability of Termination is Not One." Ann. Statist. 1 (6) 1195 - 1199, November, 1973. https://doi.org/10.1214/aos/1176342568

Information

Published: November, 1973
First available in Project Euclid: 12 April 2007

zbMATH: 0295.62048
MathSciNet: MR368347
Digital Object Identifier: 10.1214/aos/1176342568

Subjects:
Primary: 62N15
Secondary: 62G10, 62G20

Rights: Copyright © 1973 Institute of Mathematical Statistics

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Vol.1 • No. 6 • November, 1973
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