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Fixed-width interval estimation of the minimum point of a regression function based on the Kiefer-Wolfowitz procedure
Authors:Marek M czarski
Institution:

Central School of Planning and Statistics, Institute of Econometrics, PL-02-554 Warsaw, Poland

Abstract:A version of the central limit theorem for the Kiefer-Wolfowitz procedure is stated. One constructs an asymptotically consistent fixed-width confidence interval for the minimum of a regression function. It is shown that the first moment of the corresponding stopping rule is finite. Both the construction and properties of the estimates of unknown parameters and an adaptive version of the procedure are presented.
Keywords:Kiefer-Wolfowitz procedure  central limit theorem  sequential fixed-width interval estimation  asymptotic consistency  asymptotic efficiency  adaptive procedure
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