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Math and StatisticsStatistics and Probability

Asymptotic Theory for Sieve Estimators in Semimartingale Regression Models

Authors: Ian W. McKeague; FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
 
Abstract: This paper studies the estimation of functions alpha sub 1, ..., alpha sub p describing the temporal influence of p covariate processes in a regression model for semi-martingales. McKeague (1986) introduced sieve estimators for alpha sub 1, ..., alpha sub p and established consistency in sq l-norm. In this paper the asymptotic distribution theory for the integrated sieve estimators is developed. Smoothed sieve estimators are shown to be pointwise consistent and rates of convergence are provided. (Author)

Description: Technical rept.
Pages: 35
Report Date: MAR 86
Contract Number: DAAG29-82-K-0168
Report Number: A702961

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Keywords relating to this report:
ASYMPTOTIC SERIES
CONSISTENCY
CONVERGENCE
ESTIMATES
FUNCTIONS
MATHEMATICAL MODELS
PROBABILITY DISTRIBUTION FUNCTIONS
RATES
REGRESSION ANALYSIS
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