Add to ORKGAbstact. We prove a general metrical result, which contains as a special case a discrepancy estimate, related to the uniform distribution of expressions of the form ∞=++ 1)(,),(,1,,1) ( nikniikini xx λλ L))(1;,,1 ( ikjdi ≤≤ = L for Lebesgue almost all points in dXXX ×× = L1 with],[], [),(),(,1,1 iikiikiii babaX ×× = L where for each pair ij, there exist 0,>ijc such that.,,,)1(,, ijnijnij c≥−+ λ
Abstract. In this paper, we derive the asymptotic statistical properties of a class of generalized d...
AbstractFor comparing random designs and Latin hypercube designs, this paper con- siders a wrap-arou...
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure...
Abstract A general metrical result of discrepancy estimate related to uniform dis-tribution is prove...
AbstractThe L2-discrepancy measures the irregularity of the distribution of a finite point set. In t...
Criteria for optimally discretizing measurable sets in Euclidean space is a difficult and old proble...
Let P ae [0; 1] d be an n-point set and let w : P ! [0; 1) be a weight function with w(P ) = P ...
In this book chapter we survey known approaches and algorithms to compute discrepancy measures of po...
When testing that a sample of n points in the unit hypercube [0, 1]d comes from a uniform distributi...
Pillichshammer∗ In this note we prove an exact formula for the L2 discrepancy of the shifted two-dim...
AbstractLetP⊂[0,1]dbe ann-point set and letw:P→[0,∞) be a weight function withw(P)=∑z∈Pw(z)=1. TheL2...
We study discrepancy with arbitrary weights in the L norm over the d dimensional unit cube
In this paper, we derive the asymptotic statistical properties of a class of generalized discrepanci...
In Numerical Analysis, several discrepancies have been introduced to test that a sample of n points ...
Abstract. In this paper, we derive the asymptotic statistical properties of a class of generalized d...
AbstractFor comparing random designs and Latin hypercube designs, this paper con- siders a wrap-arou...
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure...
Abstract A general metrical result of discrepancy estimate related to uniform dis-tribution is prove...
AbstractThe L2-discrepancy measures the irregularity of the distribution of a finite point set. In t...
Criteria for optimally discretizing measurable sets in Euclidean space is a difficult and old proble...
Let P ae [0; 1] d be an n-point set and let w : P ! [0; 1) be a weight function with w(P ) = P ...
In this book chapter we survey known approaches and algorithms to compute discrepancy measures of po...
When testing that a sample of n points in the unit hypercube [0, 1]d comes from a uniform distributi...
Pillichshammer∗ In this note we prove an exact formula for the L2 discrepancy of the shifted two-dim...
AbstractLetP⊂[0,1]dbe ann-point set and letw:P→[0,∞) be a weight function withw(P)=∑z∈Pw(z)=1. TheL2...
We study discrepancy with arbitrary weights in the L norm over the d dimensional unit cube
In this paper, we derive the asymptotic statistical properties of a class of generalized discrepanci...
In Numerical Analysis, several discrepancies have been introduced to test that a sample of n points ...
Abstract. In this paper, we derive the asymptotic statistical properties of a class of generalized d...
AbstractFor comparing random designs and Latin hypercube designs, this paper con- siders a wrap-arou...
We study a generalization of the k-median problem with respect to an arbitrary dissimilarity measure...