Preservation of rates of convergence under mappings

DOI10.1007/BF00533185zbMath0268.60004MaRDI QIDQ3213918

Ward Whitt

Publication date: 1974

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Strong limit theorems (60F15) Probability theory on algebraic and topological structures (60Bxx)

Related Items (14)

Rates of weak convergence for images of measures by families of mappings ⋮ On the fluid approximation for a multiclass queue under non-preemptive SBP service discipline ⋮ Diffusion approximations for open queueing networks with service interruptions ⋮ Testing for the mean of random curves: a penalization approach ⋮ Test of Weak Separability for Spatially Stationary Functional Field ⋮ Fluid approximation and its convergence rate for GI/G/1 queue with vacations ⋮ RATE OF CONVERGENCE OF FLUID APPROXIMATION FOR RE-ENTRANT LINES UNDER FBFS DISCIPLINE ⋮ The Brownian approximation for rate-control throttles and the \(G/G/1/C\) queue ⋮ Fluid approximation for generalized Jackson network with vacations ⋮ On the quality of poisson approximations ⋮ Rate of convergence in the weak invariance principle for deterministic systems ⋮ Continuity properties of the extension of a locally Lipschitz continuous map to the space of probability measures ⋮ On Lipschitz dependence in systems with differentiated inputs ⋮ On the rate of convergence of the diffusion approximations

Cites Work

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• Convergence of Baire measures
• Distances of Probability Measures and Random Variables
• On rates of convergence for the invariance principle
• Speeds of metric probability convergence

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