A nonstandard uniform functional limit law for the increments of the multivariate empirical distribution function

zbMath1260.62031arXiv1201.5515MaRDI QIDQ3010730

Davit Varron

Publication date: 27 June 2011

Full work available at URL: https://arxiv.org/abs/1201.5515

zbMATH Keywords

empirical processeskernel density estimationErdős-Rényi law of large numbers

Mathematics Subject Classification ID

Density estimation (62G07) Order statistics; empirical distribution functions (62G30) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Non standard functional limit laws for the increments of the compound empirical distribution function ⋮ Some asymptotic results on density estimators by wavelet projections ⋮ Some new almost sure results on the functional increments of the uniform empirical process

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