The Application of Stochastic Approximation Methods to the Bio-Assay Problem

A new general model for the bio-assay problem is introduced. It is shown that when the slope of the dose-response curve and the median effective dose is known, the Robbins-Monro method yields an asymptotically optimal estimation procedure. Adaptive procedures are discussed for the case of unknown sl...

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1. Verfasser:	Anbar,Dan
Format:	Report
Sprache:	eng
Schlagworte:	BIOASSAY Biochemistry DISTRIBUTION THEORY NUMERICAL ANALYSIS PROBABILITY REGRESSION ANALYSIS Statistics and Probability STOCHASTIC PROCESSES
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Zusammenfassung:	A new general model for the bio-assay problem is introduced. It is shown that when the slope of the dose-response curve and the median effective dose is known, the Robbins-Monro method yields an asymptotically optimal estimation procedure. Adaptive procedures are discussed for the case of unknown slope. Results of Monte Carlo studies are given. (Author)