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Intervention Analysis in Multivariate Time Series via the Kalman Filter

  • David K. Blough
Part of the Lecture Notes in Statistics book series (LNS, volume 55)

Abstract

The Kalman filter has been found useful in fitting ARIMA models. This paper uses the multivariate extension of the state-space approach to fit multivariate time series which include covariates and periodic interventions. An example will be presented in which these techniques are applied to the study of the pink cotton boll worm moth, Pectinophora gossypiella (Saunders), (Lepidoptera: Gelechiidae). Moth counts were taken at various locations in a large cotton field over time. A special type of multivariate time series will be used, namely a spatial time series. The amount of irrigation water at each location will be included in the model as a covariate and periodic applications of insecticide will be included as interventions. Previously developed techniques for handling missing data, aggregate data, and nonlinear data transformation are also incorporated. Maximum likelihood estimates of the model parameters are obtained by imbedding the filter in a quasi-Newton optimization routine.

Keywords

Irrigation Water Kalman Filter Time Series Analysis Time Series Model ARMA Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • David K. Blough
    • 1
  1. 1.Department of Agricultural EconomicsUniversity of ArizonaTucsonUSA

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