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Time series regression with unequally spaced data

Journal of Applied ProbabilityPublished 1 January 1986
Richard H. Jones
Citations19
SJR quartileQ2
SJR score0.53
SNIP0.91

Abstract

Regression analysis with stationary errors is extended to the case when observations are not equally spaced. The errors are modelled as either a discrete-time ARMA process with missing observations, or as a continuous-time autoregression with observational error observed at arbitrary times. Using a state-space representation, a Kalman filter is used to calculate the exact likelihood. The linear regression coefficients are separated out of the likelihood so non-linear optimization is required only with respect to the parameters modelling the error structure.

Keywords

Computer ScienceEngineering