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Title: Partial derivative functional response model with application to temperature dynamic Authors:  Catherine Liu - The Hong Kong Polytechnic University (Hong Kong) [presenting]
Tao Zhang - Guangxi University of Science and Technology (China)
Zhaohai Li - Geoge Washington University (United States)
Jin Yang - The Hong Kong polytechnic University (Hong Kong)
Abstract: A novel functional regression model is described where the response is the partial derivative of bivariate functional data and the predictor is a vector or scalar. An estimation procedure of the model is proposed. We apply this partial derivative functional response model to a dynamic analysis of temperature data to explore how the latitude, longitude, and their interaction impact the rate of change of the temperature over time (days or years) in the Midwest of USA. Simulation studies prove that the proposed method performs well in finite samples.