Wang Zhou

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Consider the empirical spectral distribution of complex random n × n matrix whose entries are independent and identically distributed random variables with mean zero and variance 1/n. In this paper, via applying potential theory in the complex plane and analyzing extreme singular values, we prove that this distribution converges, with probability one, to(More)
A saddlepoint approximation of the Student's t-statistic was derived by Daniels and Young [Biometrika 78 (1991) 169–179] under the very stringent exponential moment condition that requires that the underlying density function go down at least as fast as a Normal density in the tails. This is a severe restriction on the approxima-tion's applicability. In(More)
This paper examines how close the chordal SLE κ curve gets to the real line asymptotically far away from its starting point. In particular, when κ ∈ (0, 4), it is shown that if β > β κ := 1/(8/κ − 2), then the intersection of the SLE κ curve with the graph of the function y = x/(log x) β , x > e, is a.s. bounded, while it is a.s. unbounded if β = β κ. The(More)
Ketamine, a derivative of phencyclidine that was developed in the 1960s, is an anesthetic and analgesic with hallucinogenic effects. In this paper, the pharmacological and toxicological effects of ketamine are briefly reviewed. Ketamine possesses a wide safety margin but such a therapeutic benefit is somewhat offset by its emergence phenomenon (mind-body(More)
J o u r n a l o f P r o b a b i l i t y Electron. Abstract Let the sample correlation matrix be W = Y Y T , where Y = (yij)p,n with yij = xij/ n j=1 x 2 ij. We assume {xij : 1 ≤ i ≤ p, 1 ≤ j ≤ n} to be a collection of independent symmetrically distributed random variables with sub-exponential tails. Moreover, for any i, we assume xij, 1 ≤ j ≤ n to be(More)
CWI's research has a theme-oriented structure and is grouped into four clusters. Listed below are the names of the clusters and in parentheses their acronyms. ABSTRACT Saddlepoint approximations for the trimmed mean and the studentized trimmed mean are established. Some numerical evidence on the quality of our saddlepoint approximations is also included.(More)
This paper describes the development of a test bed for an on-drone computation system, in which the drone plays the game of ping-pong competitively (YCCD: The Yorktown Cognitive Competition Drone). Unlike other drone systems and demonstrators YCCD will be completely autonomous with no external support from cameras, servers, GPS etc. YCCD will have ultra-low(More)
As one of the most classic fields in computer vision, image categorization has attracted widespread interests. Numerous algorithms have been proposed in the community, and many of them have advanced the state-of-the-art. However, most existing algorithms are designed without consideration for the supply of computing resources. Therefore, when dealing with(More)