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Time Series Factor Analysis with an Application to Measuring Money

(2005) Gilbert, Paul D.; Meijer, Erik

Time series factor analysis (TSFA) and its associated statistical
theory is developed. Unlike dynamic factor analysis (DFA), TSFA obviates
the need for explicitly modeling the process dynamics of the underlying
phenomena. It also differs from standard factor analysis (FA) in
important respects: the factor model has a nontrivial mean structure,
the observations are allowed to be dependent over time, and the data
does not need to be covariance stationary as long as differenced data
satisfies a weak boundedness condition. The effects on the estimation of
parameters and prediction of the factors is discussed.

The statistical properties of the factor score predictor are studied in
a simulation study, both over repeated samples and within a given sample.
Some apparent anomalies are found in simulation experiments and
explained analytically.




file:Download 05F10.pdf

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