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Biometrika 1970 57(3):477-488; doi:10.1093/biomet/57.3.477
© 1970 by Biometrika Trust
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Inference about the change-point in a sequence of binomial variables

DAVID V. HINKLEY and ELIZABETH A. HINKLEY

Stanford University

The problem of making inferences about the point in a sequence of zero-one variables at which the binomial parameter changes is considered. The asymptotic distribution of the maximum likelihood estimate of the change-point is derived in computable form using random walk- results. The asymptotic distributions of likelihood ratio statistics for testing hypothesis about the change-point are also obtained. Some exact numerical results for these asymptotic distributions are given and their accuracy as finite sample approximations is discussed.


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