Executive Summary This white paper focuses on providing benchmarking results that highlight the Chelsio T5 performance advantage across the full range of storage networking protocols including iSCSI, iSCSI over RDMA (iSER), Windows Server 2012 SMB 3.0, Lustre over RDMA, NFS over RDMA and FCoE. Benchmarking results show T5 to be an ideal fit for high-performance storage networking solutions acro...

Consider the Parzen-Rosenblatt kernel estimate f. = (l/n) ~ Kh (x-Xi), where h > 0 is a constant, K is an absolutely integrable i=1 function with integral one, Kh(X)=(1/ha)K(x/h), and X1 ..... X. are iid random variables with common density f on R d. We show that for all e > 0, n8 2 2 sup P(lSlf.-fl-E~lf.-fll>e)<Ze 32~1KI. whenever liminfl~E~lf,-f]=oo. We also study what happens when h is allow...

Although estimation and testing are different statistical problems, if we want to use a test statistic based on the Parzen–Rosenblatt estimator hypothesis that underlying density function f is member of location-scale family probability functions, it may be found reasonable choose smoothing parameter in such way kernel an effective irrespective which null or alternative true. In this paper addr...

Hermite processes are self–similar processes with stationary increments which appear as limits of normalized sums of random variables with long range dependence. The Hermite process of order 1 is fractional Brownian motion and the Hermite process of order 2 is the Rosenblatt process. We consider here the sum of two Hermite processes of order q ≥ 1 and q+1 and of different Hurst parameters. We t...

acrophages can clean up the detritus of dying cells. But that, say Jody Rosenblatt, Martin Raff, and Louise Cramer (University College London, London, UK), is not the whole story. They have found that cells undergoing apoptosis in an epithelial sheet signal to their neighbors to begin squeezing, in a process that maintains the barrier function of the epithelium while extruding the dying cell. M...

The purpose of this paper is to make a wavelet analysis of self-similar stochastic processes by using the techniques of the Malliavin calculus and the chaos expansion into multiple stochastic integrals. Our examples are the fractional Brownian motion and the Rosenblatt process. We study the asymptotic behavior of the statistics based on the wavelet coefficients of these processes. We find that,...

Let Z=(Zt)t≥0 be the Rosenblatt process with Hurst index H∈(1∕2,1). We prove joint continuity for local time of Z, and establish Hölder conditions time. These results are then used to study irregularity sample paths Z. Based on analogy similar known in case fractional Brownian motion, we believe our sharp. A main ingredient proof is a rather delicate spectral analysis arbitrary linear combinati...