On discrete sampling of time-varying continuous-time systems by Peter M. Robinson
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- text
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- HB139.T52 ECO
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Main Library - Special Collections | HB139.T52 ECO (Browse shelf(Opens below)) | vol. 25, no. 4 (985-994) | SP3259 | Not for loan | For in house use |
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We consider a multivariate continuous-time process, generated by a system of linear stochastic differential equations, driven by white noise, and involving coefficients that possibly vary over time. The process is observable only at discrete, but not necessarily equally-spaced, time points (though equal spacing significantly simplifies matters). Such settings represent partial extensions of ones studied extensively by A.R. Bergstrom. A model for the observed time series is deduced. Initially we focus on a first-order model, but higher-order models are discussed in the case of equally-spaced observations. Some discussion of issues of statistical inference is included
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