Limit theorems for occupation rates of local empirical processes

DOI10.1007/S13171-015-0069-4zbMath1325.60041OpenAlexW1260007135MaRDI QIDQ746049

Davit Varron

Publication date: 15 October 2015

Published in: Sankhyā. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13171-015-0069-4

zbMATH Keywords

functional limit theoremsPoisson processeslocal empirical processesoccupation rates

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Some new almost sure results on the functional increments of the uniform empirical process
• Gaussian approximation of local empirical processes indexed by functions
• Lectures on empirical processes. Theory and statistical applications.
• Uniform Donsker classes of functions
• The \(L_1\)-norm density estimator process
• A uniform functional law of the logarithm for the local empirical process.
• Weak convergence and empirical processes. With applications to statistics
• Probability with Martingales
• Asymptotic Statistics
• Real Analysis and Probability
• Combinatorial methods in density estimation
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