Moment estimation for statistics from marked point processes

• 成果类型: Article
• 署名作者: Politis, DN; Sherman, M
• 署名单位: Texas A&M University System; Texas A&M University College Station; University of California System; University of California San Diego
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1111/1467-9868.00284
• 发表日期: 2001
• 页码: 261-275
• 关键词: Bootstrap; variance; Poisson

摘要

In spatial statistics the data typically consist of measurements of some quantity at irregularly scattered locations; in other words, the data form a realization of a marked point process. In this paper, we formulate subsampling estimators of the moments of general statistics computed from marked point process data, and we establish their L-2-consistency. The variance estimator in particular can be used for the construction of confidence intervals for estimated parameters. A practical data-based method for choosing a subsampling parameter is given and illustrated on a data set. Finite sample simulation examples are also presented.