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Random Boolean Functions: Non-Parametric Estimation of the Intensity. Application to Soil Surface Roughness

 

作者: Michel Goulard,   Joël Chadoeuf,   Patrick Bertuzzi,  

 

期刊: Statistics  (Taylor Available online 1994)
卷期: Volume 25, issue 2  

页码: 123-136

 

ISSN:0233-1888

 

年代: 1994

 

DOI:10.1080/02331889408802439

 

出版商: Gordon & Breach Science Publishers

 

关键词: Boolean random function;estimation;marked point process;modelization;non-parametric;point process;roughness;spatial

 

数据来源: Taylor

 

摘要:

A non-parametric estimation method is proposed for the intensity of the Poisson process associated to a Boolean random function. The case studied is that of marks being half-spheres as primary functions, these half-spheres lying on a given horizontal plane. The proposed method is derived from the method presented in Györfi, Härdle, Sarda et Vieu [1989] for the case of time series. An application in soil science is presented.

 

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