Summary
A sequence of independent random variables X 1,...,X N is said to have a change point n, if X 1,...,X N have a common distribution F and X n+1,..., X N have a common distribution G, G ≠ F. Consider the problem of testing the null hypothesis of no change, against the alternative of a one-sided change at an unknown change point n, when both F and G are normal with equal variance σ2. Most of the test statistics for this problem can be interpreted as generalizations of two-sample statistics (n known). In this chapter we derive the Bahadur efficiencies for two classes of statistics that are generalizations of the two-sample likelihood ratio statistics. The asymptotic results are compared with some small-sample power estimates based on Monte Carlo experiments.
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© 1989 Springer-Verlag Berlin Heidelberg
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Praagman, J. (1989). Bahadur Efficiency of Tests for a Shift in Location of Normal Populations. In: Hackl, P. (eds) Statistical Analysis and Forecasting of Economic Structural Change. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02571-0_10
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DOI: https://doi.org/10.1007/978-3-662-02571-0_10
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