Asymptotic oscillation hypothesis

Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations

The thick flame asymptotic limit and Damköhler’s hypothesis

We derive analytical expressions for the burning rate of a flame propagating in a prescribed steady parallel flow whose scale is much smaller than the laminar flame thickness. In this specific context, the asymptotic results can be viewed as an analytical test of Damköhler’s hypothesis relating to the influence of the small scales in the flow on the flame; the increase in the effective diffusio...

Nonparametric Composite Hypothesis Testing in an Asymptotic Regime

We investigate the nonparametric, composite hypothesis testing problem for arbitrary unknown distributions and in the asymptotic regime with the number of hypotheses grows exponentially large. Such type of asymptotic analysis is important in many practical problems, where the number of variations that can exist within a family of distributions can be countably infinite. We introduce the notion ...

Asymptotic Robust Hypothesis Testing Based on Moment Classes

A robust hypothesis testing framework is introduced in which candidate hypotheses are characterized by moment classes. It is shown that there exists a test sequence that is asymptotically optimal in the min-max sense, and that it is expressed as a comparison of a log-linear combination of the constraint functions to a pre-determined threshold. Algorithms are described to compute the optimal tes...

Asymptotic behavior of Generalized Processor Sharing queues under subexponential hypothesis

Abstract: We analyze the behavior of Generalized Processor Sharing (GPS) queues with heavy-tailed service times. We compute the exact tail asymptotics of the stationary workload of an individual class and give new conditions for reduced-load equivalence and induced burstiness to hold. We also show that both phenomena can occur simultaneously. Our proofs rely on the single big event theorem and ...