2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130810The 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.Statistics TheoryMSC 2000: 60F05, 62G30text