Accession Number : AD0842318

Title :   A Decision Theoretic Approach to a Stochastic Approximation Problem.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Evans, Donald L.

Report Date : DEC 1968

Pagination or Media Count : 41

Abstract : The problem of approximating the root of a linear function with unit slope is investigated. The error random variables are assumed to be independent and identically distributed standard normal random variables. A stochastic approximation procedure is characterized as a sequence of decision functions corresponding to a particular sequence of statistical decision problems. Bayes procedures are characterized and convergence is proved. The harmonic Robbins-Monro procedure is shown to correspond to a sequence of 'natural' decision functions. A more general approximation problem is also considered. (Author)

Descriptors :   *DECISION THEORY), (*APPROXIMATION(MATHEMATICS), STOCHASTIC PROCESSES, MEASURE THEORY, CONTROL SYSTEMS, CONVERGENCE, THESES.

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE