2005/07/18 by Lionel Cucala, Cucala, Lionel
Environmental Science · Mathematics · #62G30 #FOS: Mathematics #MSC 2000: 60F05 #Point processes and geometric inequalities #Soil Geostatistics and Mapping #Statistical Methods and Inference #Statistics Theory (math.ST) #math.ST #msc:60F05 #msc:62G30 #stat.TH
paper · pdf · doi:10.48550/arxiv.math/0507367
arxiv created 2005/07/18 · openalex publication_date 2005/07/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The definition of spacings associated to a sequence of random variables is extended to the case of random vectors in [0,1]2. Beirlant & al. (1991) give an alternative proof of the Le Cam (1958) theorem concerning asymptotic normality of additive functions of uniform spacings in [0,1]. I adapt their technique to the two-dimensional case, leading the way to new directions in the domain of Complete Spatial Randomness (CSR) testing.