Add to ORKGInternational audienceThe 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
The expected spacing, or average difference between consecutive order statistics, is known for unifo...
AbstractStrong limit theorems are obtained for maximal and minimal multivariate kn-spacings, where {...
A characterization of the uniform distribution based on distributions of spacings is presented which...
A random sample size version of the central limit theorem is obtained for a general class of symmetr...
In a first part, we recall general results on spacings theory. First, we give general definitions an...
Despite its generic title, this thesis is about a specific notion of sparsity, the one introduced by...
Many statistical problems can be reformulated in terms of tests of uniformity. Some strong laws of l...
: We examine the idea of testing uniform random number generators via two goodness-of-fit statistics...
Assume that we have a random sample from an absolutely continuous distribution (univariate, or multi...
[[abstract]]We develop a methodology for evaluating probabilities which involve linear combinations ...
In this paper we investigate the dimensional structure of probability distributions on Euclidean spa...
We determine the joint limiting distribution of adjacent spacings around a central, intermediate, or...
We study translation-invariant determinantal random point fields on the real line. We prove...
AbstractIn this paper we investigate the dimensional structure of probability distributions on Eucli...
In this paper, we investigate the asymptotic theory for U-statistics based on sample spacings, i.e. ...
The expected spacing, or average difference between consecutive order statistics, is known for unifo...
AbstractStrong limit theorems are obtained for maximal and minimal multivariate kn-spacings, where {...
A characterization of the uniform distribution based on distributions of spacings is presented which...
A random sample size version of the central limit theorem is obtained for a general class of symmetr...
In a first part, we recall general results on spacings theory. First, we give general definitions an...
Despite its generic title, this thesis is about a specific notion of sparsity, the one introduced by...
Many statistical problems can be reformulated in terms of tests of uniformity. Some strong laws of l...
: We examine the idea of testing uniform random number generators via two goodness-of-fit statistics...
Assume that we have a random sample from an absolutely continuous distribution (univariate, or multi...
[[abstract]]We develop a methodology for evaluating probabilities which involve linear combinations ...
In this paper we investigate the dimensional structure of probability distributions on Euclidean spa...
We determine the joint limiting distribution of adjacent spacings around a central, intermediate, or...
We study translation-invariant determinantal random point fields on the real line. We prove...
AbstractIn this paper we investigate the dimensional structure of probability distributions on Eucli...
In this paper, we investigate the asymptotic theory for U-statistics based on sample spacings, i.e. ...
The expected spacing, or average difference between consecutive order statistics, is known for unifo...
AbstractStrong limit theorems are obtained for maximal and minimal multivariate kn-spacings, where {...
A characterization of the uniform distribution based on distributions of spacings is presented which...