Abstract. Let X(t), t = 0,±1, . . . , be a real-valued stationary Gaussian sequence with a spectral density function f(λ). The paper considers the question of applicability of the central limit theorem (CLT) for a Toeplitz-type quadratic form Qn in variables X(t), generated by an integrable even function g(λ). Assuming that f(λ) and g(λ) are regularly varying at λ = 0 of orders α and β, respect...

A simple and rapid UV spectrophotometric method has been developed for simultaneous estimation of Metoprolol Succinate (MET) and Chlorthalidone (CLT). The absorbances of both drugs were found at 267nm and 243 nm in the range of 12-28 μg/ml (y=0.0024X+0.001; r =0.9996) and 3-7μg/ml (y= -0.0149x+0.0015; r = 0.9991) respectively for MET and CLT in methanol 2 2 solvent system.267 nm and 243 nm were...

Customers arrive at rate Nα on a network of N single server infinite buffer queues, choose L queues uniformly, join the shortest one, and are served there in turn at rate β. We let N go to infinity. We prove a functional central limit theorem (CLT) for the tails of the empirical measures of the queue occupations, in a Hilbert space with the weak topology, with limit given by an Ornstein-Uhlenbe...

Cooccurrences of chronic lymphocytic thyroiditis (CLT) and thyroid cancer (DTC) have been repeatedly reported. Both CLT and DTC, mainly papillary thyroid carcinoma (PTC), share some epidemiological and molecular features. In fact, thyroid lymphocytic inflammatory reaction has been observed in association with PTC at variable frequency, although the precise relationship between the two diseases ...

Construal Level Theory (CLT) [1] defines psychological distance as any object, event, or person that cannot be experienced by the self in the here and now. The goal of the present research was to demonstrate that feelings of uncertainty are closely linked to the concept of psychological distance. Two experiments tested the assumption that spatial distance and uncertainty are bidirectionally rel...

The familiar queueing principle expressed by the formula L=^\W (Little's law) can be interpreted as a relation among strong laws of large numbers (SLLNs). Here we prove central-limit-theorem (CLT) and weak-law-of-large-numbers (WLLN) versions of L = \W. For example, if the sequence of ordered pairs of interarrival times and waiting times is strictly stationary and satisfies a joint CLT, then th...

Cognitive load theory (CLT) is gaining increasing importance in the design and evaluation of instruction, both traditional and technology based. Although it is well understood as a theoretical construct, the measurement of cognitive load induced by instructional materials in general, and by multimedia instruction in particular, mainly relies on methods that are either indirect, subjective, or b...

How heterogeneous multiscale methods (HMM) handle fluctuations acting on the slow variables in fast–slow systems is investigated. In particular, it is shown via analysis of central limit theorem (CLT) and large deviation principle (LDP) that the standard version of HMM artificially amplifies these fluctuations. A simple modification of HMM, termed parallel HMM, is introduced and is shown to rem...

MARTINGALE CENTRAL LIMIT THEOREM FOR NONUNIFORMLY HYPERBOLIC SYSTEMS SEPTEMBER 2013 LUKE MOHR, B.S., UNIVERSITY AT BUFFALO M.S., UNIVERSITY OF MASSACHUSETTS AMHERST Ph.D., UNIVERSITY OF MASSACHUSETTS AMHERST Directed by: Professor HONG-KUN ZHANG In this thesis we study the central limit theorem (CLT) for nonuniformly hyperbolic dynamical systems. We examine cases in which polynomial decay of co...

Article history: Received 28 April 2015 Accepted after revision 17 September 2015 Available online 29 October 2015 Presented by the Editorial Board In this note, we find the asymptotic main term of the variance of the number of roots of Kostlan–Shub–Smale random polynomials and prove a central limit theorem for this number of roots as the degree goes to infinity. © 2015 Académie des sciences. P...