Regression Models
for Time Series
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Benjamin Kedem
received his PhD in statistics from Carnegie Mellon in 1973. He
joined the University of Maryland in 1975 where he is currently
Professor in the Mathematics Department, and an affiliate of the
Institute for Systems Research. His research interests are time
series analysis, statistical modeling of satellite observations,
and applied semiparametrics. His research on higher order
crossings (HOC) was selected as an accomplishment by Air Force
Office of Scientific Research, 1986. He is the recipient of the
1988 W.R.G. Baker award given for the most outstanding paper in
the IEEE journals, and the recipient of a 1997 NASA/Goddard award,
for his work on rainfall measurement from space. He is a fellow of
the American Statistical Association.
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Semiparametric Time Series Prediction
Given m time series regression
models, linear or not, with additive noise components, it is shown how
to estimate the predictive probability distribution of all the time
series conditional on the observed and covariate data at the time of
prediction. This is done by a certain synergy argument, assuming that
the distributions of the residual components associated with the
regression models are tilted versions of a reference distribution.
Point predictors are obtained from the predictive distribution as a
byproduct. Applications to US mortality rates prediction and to value
at risk (VaR) estimation will be discussed.
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