文章基本信息

标题：On Some Statistical Properties of the Spatio-Temporal Product Density
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作者：Juan F. Rodríguez Berrio ; Francisco J. Rodríguez-Cortes ; Jorge Mateu 等
期刊名称：Revista Colombiana de Estadística
印刷版ISSN：2389-8976
出版年度：2021
卷号：44
期号：1
页码：23-42
DOI：10.15446/rce.v44n1.84779
出版社：Universidad Nacional de Colombia, sede Bogotá
摘要：We present an extension of the non-parametric edge-corrected Ohser-type kernel estimator for the spatio-temporal product density function. We derive the mean and variance of the estimator and give a closed-form approximation for a spatio-temporal Poisson point process. Asymptotic properties of this second-order characteristic are derived, using an approach based on martingale theory. Taking advantage of the convergence to normality, conﬁdence surfaces under the homogeneous Poisson process are built. A simulation study is presented to compare our approximation for the variance with Monte Carlo estimated values. Finally, we apply the resulting estimator and its properties to analyse the spatio-temporal distribution of the invasive meningococcal disease in the Rhineland Regional Council in Germany.
关键词：Invasive meningococcal disease;Martingale theory;Ohser-type estimator;Second-order product density;Variance