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We consider the problem of optimal allocation of computing budget to maximize the probability of correct selection in the ordinal optimization setting. This problem has been studied in the literature ...
We give large deviation upper bounds, and discuss lower bounds, for the Gibbs-KMS state of a system of quantum spins or an interacting Fermi gas on the lattice. We cover general interactions and gener...
The delta method is a popular and elementary tool for deriving limiting distributions of transformed statistics, while applications of asymptotic distributions do not allow one to obtain desirable a...
A large deviation principle is established for a general class of stochastic flows in the small noise limit. This result is then applied to a Bayesian formulation of an image matching problem, and a...
Large deviations of invariant measures for degenerate diffusions
We discuss a method, which we call the expansion method, for proving large deviation principles and bounds. The method is applicable on general topological spaces but our main application is to pro...
Suppose X, XI, X,, ... are i.i.d. random vectors, S, = z:= Xi and A, are linear operators such that A, S, converges in law to some full random vector I: Then we say that X belongs to the shkt gener...
We prove a large deviations principle (LDP) for partial sums U-processes indexed by the half line. The LDP can be formulated on a suitable subset of the set of all absolutely continuous paths. We e...
The large deviation problem for sums of i.i.d. random vectors is considered. It is assumed that the underlying distribution is absolutely continuous and its density is of regular variation. An asymp...
The sums of i.i.d. random vectors with compactly supported and absolutely continuous distribution are considered. Under some conditions the strong form of the local limit theorem for large deviatio...
Let X(±) be a Wishart process of dimension ±, with values in the set of positive matrices of size m. We are interested in the large deviations for a family of matrix-valued processes {±−1X(±) ...
Exponential Estimates for “Not Very Large Deviations and Wave Front Propagation for a Class of Reaction-Diffusion Equations
Large random matrices appear in different fields of mathematics and physics such as combinatorics, probability theory, statistics, operator theory, number theory, quantum field theory, string theory e...
The large deviation principle is established for the Fleming-Viot process with neutral mutation when the process starts from a point on the boundary. Since the diffusion coefficient is degenerate on t...
The results discussed here are most easily described in words using Bayesian terminology. For each n, there are probability distributions for the data conditional on a parameter, and there is also a p...

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