Moderate Deviations for Queuesin Critical
نویسنده
چکیده
We establish logarithmicasymptotics of moderate deviations for the processes of queue length and waiting times in single server queues and open queueing networks in critical loading. Our results complement earlier heavy-traac approximation results.
منابع مشابه
Stochastic processes in random graphs
We study the asymptotics of large, moderate and normal deviations for the connected components of the sparse random graph by the method of stochastic processes. We obtain the logarithmic asymptotics of large deviations of the joint distribution of the number of connected components, of the sizes of the giant components, and of the numbers of the excess edges of the giant components. For the sup...
متن کاملModerate deviations for random fields and random complex zeroes
Moderate deviations for random complex zeroes are deduced from a new theorem on moderate deviations for random fields.
متن کاملDelta Method in Large Deviations and Moderate Deviations for Estimators by Fuqing
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 accuracy of approximation for tail probabilities. The large and moderate deviation theory can achieve this goal. Motivated by the delta method in weak convergence, a general delta method in large devi...
متن کاملLarge and moderate deviations principles for recursive kernel estimators of a multivariate density and its partial derivatives
Abstract: In this paper we prove large and moderate deviations principles for the recursive kernel estimator of a probability density function and its partial derivatives. Unlike the density estimator, the derivatives estimators exhibit a quadratic behaviour not only for the moderate deviations scale but also for the large deviations one. We provide results both for the pointwise and the unifor...
متن کاملDeviations from evidence-based clinical management guidelines increase mortality in critically injured trauma patients*.
OBJECTIVES The effect of treatment guidelines on clinical outcomes in general and specifically for trauma patients has not been well-studied. We hypothesized that better compliance with guidelines would be associated with improved clinical outcomes. DESIGN Prospective, randomized, double-blinded, multicentered, placebo-controlled study of recombinant factor VII in severe trauma that utilized ...
متن کامل