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We propose an estimating function for parameters in a model for Poisson process intensity when time- or space-varying covariates are observed for both the events of the process and at sample times or locations selected from a probability-based sampling design. We investigate the large-sample properties of the proposed estimator under increasing domain asymptotics, demonstrating that it is consistent and asymptotically normally distributed. We illustrate our approach using data from an ecological momentary assessment of smoking.
Biometrika – Oxford University Press
Published: Feb 28, 2007
Keywords: ecological momentary assessment increasing domain asymptotics intensity function modulated Poisson process space-varying covariate time-varying covariate
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