## A location-mixture autoregressive model for online forecasting of lung tumor motion.(English)Zbl 1303.62058

Summary: Lung tumor tracking for radiotherapy requires real-time, multiple-step ahead forecasting of a quasi-periodic time series recording instantaneous tumor locations. We introduce a location-mixture autoregressive (LMAR) process that admits multimodal conditional distributions, fast approximate inference using the EM algorithm and accurate multiple-step ahead predictive distributions. LMAR outperforms several commonly used methods in terms of out-of-sample prediction accuracy using clinical data from lung tumor patients. With its superior predictive performance and real-time computation, the LMAR model could be effectively implemented for use in current tumor tracking systems.

### MSC:

 62P10 Applications of statistics to biology and medical sciences; meta analysis 62M10 Time series, auto-correlation, regression, etc. in statistics (GARCH) 62M20 Inference from stochastic processes and prediction 62M05 Markov processes: estimation; hidden Markov models 92C50 Medical applications (general)

MASS (R); R
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