A central limit theorem for integrals with respect to random measures

DOI10.1134/S0001434614010209zbMath1315.60032MaRDI QIDQ2341973

V. P. Demichev

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

integralsBurgers equationcentral limit theoremrandom measure

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random measures (60G57) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Central limit theorems for the excursion set volumes of weakly dependent random fields
• Two results concerning asymptotic behavior of solutions of the Burgers equation with force
• A Glivenko-Cantelli lemma and weak convergence for empirical processes of associated sequences
• Rates in the CLT for sums of dependent multiindexed random vectors
• Association and random measures
• Hyperbolic asymptotics in Burgers' turbulence and extremal processes
• Gibbs-Cox random fields and Burgers turbulence
• Scaling laws for the multidimensional Burgers equation with quadratic external potential
• Central limit theorem for the solution of the multidimensional Burgers equation with random data
• A Functional Central Limit Theorem for Transformed Solutions of the Multidimensional Burgers Equation with Random Initial Data
• Quasi-associatedness of a Gaussian system of random vectors
• Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
• Burgers' turbulence problem with linear or quadratic external potential
• Normal approximation for quasi-associated random fields
• Functional central limit theorem for the solution of a many-dimensional Burgers equation with initial data given by an associated random measure

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