State Space Modeling of Event Count Time Series
نویسندگان
چکیده
This paper proposes a class of algorithms for analyzing event count time series, based on state space modeling and Kalman filtering. While the dynamics model is kept Gaussian linear, nonlinear observation function chosen. In order to estimate states, an iterated extended filter employed. Positive definiteness covariance matrices preserved by square-root filtering approach, singular value decomposition. Non-negativity data ensured, either exponential function, or newly introduced “affinely distorted hyperbolic” function. The resulting algorithm applied series daily number seizures drug-resistant epilepsy patients. may depend dosages simultaneously administered anti-epileptic drugs, their superposition effects, delay unknown factors, making objective analysis seizure counts arduous. For purpose validation, simulation study performed. results modeling, using drugs as external control inputs, provide decision effect in particular patient, with respect reducing increasing seizures.
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ژورنال
عنوان ژورنال: Entropy
سال: 2023
ISSN: ['1099-4300']
DOI: https://doi.org/10.3390/e25101372