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Title: Spatial point processes estimation in functional spaces Authors:  Maria Pilar Frias Bustamante - University of Granada (Spain) [presenting]
Maria Dolores Ruiz-Medina - University of Granada (Spain)
Antoni Torres - University of Granada (Spain)
Abstract: Previous results are extended concerning Cox processes in functional spaces and minimum contrast estimation of spatial processes from tapered data. Specifically, Log-Gaussian spatial point processes with SARH(1) intensity are introduced. Minimum-contrast componentwise estimation of the log-Gaussian SARH(1) intensity is achieved. Spatial functional prediction of the corresponding functional Cox-process is then performed. A simulation study is undertaken to investigate the asymptotic properties of the proposed spatial functional predictor.