
Accession Number : AD0773604
Title : Asymptotic Properties of Dynamic Stochastic Parameter Estimates (III).
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Stigum,Bernt P.
Report Date : NOV 1973
Pagination or Media Count : 46
Abstract : UM,Bernt P. ;MSCTSR1362DA31124ARO(D)462Revision of report dated 2 Jul 73. See also report dated Dec 72, AD755 069.*Stochastic processes, *Time series analysis, Difference equations, Asymptotic series, TheoremsParameter estimation, *Stochastic differential equationsIn the paper the author establishes three theorems concerning the asymptotic distributions of ordinary leastsquares estimates of the parameters of a stochastic difference equation. It is shown that, if there is at least one root of the associated characteristic equation with modulus less than one and if all the roots have moduli different from one, the vector of leastsquares estimates converges in distribution to a normally distributed vector. The distribution of the limiting vector is degenerate if there is at least one root with modulus greater than one. (Modified author abstract)
Descriptors : *STOCHASTIC PROCESSES, *TIME SERIES ANALYSIS, DIFFERENCE EQUATIONS, ASYMPTOTIC SERIES, THEOREMS
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE