We study the limiting behavior of weighted sums for negatively associated (NA) random variables. We extend results in Wu (1999) and a theorem in Chow and Lai (1973) for NA random variables.

let be a stationary sequence of pair wise negative quadrant dependent random variables with survival function {,1}nxn?f(x)=p[x>x]. the empirical survival function ()nfx based on 12,,...,nxxx is proposed as an estimator for ()nfx. strong consistency and point wise as well as uniform of ()nfx are discussed

in this paper, we extend and generalize some recent results on the strong laws of large numbers (slln) for pairwise independent random variables [3]. no assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). also chandra’s result on cesàro uniformly integrable r.v.’s is extended.

aligned and random nanocomposite nanofibrous scaffolds were electrospun from polycaprolactone (pcl), poly (vinyl alcohol) (pva) and hydroxyapatite nanoparticles (nha). the morphology and mechanical characteristics of the nanofibers were evaluated using scanning electron microscopy and tensile testing, respectively. scanning electron microscopy revealed fibers with an average diameter of 123 ± 3...

by Ram Bhuwan Pandit, PhD WASHINGTON STATE UNIVERSITY

We give a new proof of a result of Kenyon that the growth exponent for loop-erased random walks in two dimensions is 5/4. The proof uses the convergence of LERW to Schramm-Loewner evolution with parameter 2, and is valid for irreducible bounded symmetric random walks on any discrete lattice of R2.

Let us draw a graph R on {0, 1, . . . , n− 1} by having an edge {i, j} with probability p|i−j|, where ∑ i pi < ∞, and let Mn = (n,<,R). For a first order sentence ψ let aψ be the probability of Mn |= ψ. We know that the sequence aψ, a 2 ψ, . . . , a n ψ, . . . does not necessarily converge. But here we find a weaker substitute which we call the very weak 0-1 law. We prove that limn→∞(a n ψ − a ...

In this paper, we prove uniform Morrey-Campanato type estimates for this equation, using a multiplier method borrowed from [9]. These bounds encode in the optimal way the decay: |u(x)| ∼ 1/|x| d−1 2 at infinity of the solution u. They imply weighted L-estimates for the solution u. We also prove a uniform L-estimate without weight for the trace of the solution on the interface, which states that...

A preliminary work on symptom name recognition from free-text clinical records (FCRs) of traditional Chinese medicine (TCM) is depicted in this paper. This problem is viewed as labeling each character in FCRs of TCM with a pre-defined tag (“B-SYC”, “I-SYC” or “OSYC”) to indicate the character’s role (a beginning, inside or outside part of a symptom name). The task is handled by Conditional Rand...

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