Asymptotic Score-Statistic Processes and Tests for Constant Hazard Against a Change-Point Alternative
Open Access
- 1 June 1985
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Statistics
- Vol. 13 (2) , 583-591
- https://doi.org/10.1214/aos/1176349540
Abstract
The problem of testing for a constant failure rate against alternatives with failure rates involving a single change-point is considered. The asymptotic significance level for tests based on maximal score statistics are shown to involve the solution to a first passage time problem for an Ornstein-Uhlenbeck process. An example illustrates the methodology.Keywords
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