The multivariate central limit theorems (CLT) for the volumes of excursion sets of stationary quasi–associated random fields on R are proved. Special attention is paid to Gaussian and shot noise fields. Formulae for the covariance matrix of the limiting distribution are provided. A statistical version of the CLT is considered as well. Some numerical results are also discussed. AMS 2000 subject ...

We compute the exact rates of convergence in total variation associated with the ‘fourth moment theorem’ by Nualart and Peccati (2005), stating that a sequence of random variables living in a fixed Wiener chaos verifies a central limit theorem (CLT) if and only if the sequence of the corresponding fourth cumulants converges to zero. We also provide an explicit illustration based on the Breuer-M...

Ristiinliimatuista lautakerroksista koottu monikerroslevy, niin sanottu CLT-levy (Cross-Laminated Timber), on vakiinnuttanut paikkansa muiden insinööripuutuotteiden rinnalla teollisessa puurakentamisessa. CLT-levyä käytetään asuinkerrostaloissa, toimistoissa ja muissa jul­kisissa rakennuksissa etenkin seinien lattioiden kantavina rakenteina sekä osana koko ra­ken­nuk­sen jäykistysjärjestelmää. ...

Customers arrive at rate N α 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-Uhlenb...

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 ...

We study the Lempel-Ziv’78 algorithm and show that its (normalized) redundancy rate tends to a Gaussian distribution for memoryless sources. We accomplish it by extending findings from our 1995 paper [4], in particular, by presenting a new simplified proof of the Central Limit Theorem (CLT) for the number of phrases in the LZ’78 algorithm. As in [4], we first analyze the asymptotic behavior of ...

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...