– We provide numerical indications of the q-generalised central limit theorem that has been conjectured (Tsallis 2004) in nonextensive statistical mechanics. We focus on N binary random variables correlated in a scale-invariant way. The correlations are introduced by imposing the Leibnitz rule on a probability set based on the so-called q-product with q ≤ 1. We show that, in the large N limit (...

In order to reduce the use of adhesives, development adhesive-free engineered wood products is one research focuses in timber structures. This paper studies mechanical properties cross-laminated beams connected by densified (DW) dowels. Four-point bending tests were performed study influence arrangement and number DW dowels on strength effective stiffness dowelled (DCLT) with three layers. The ...

OBJECTIVE Key worker programs for families of children with disabilities, to promote information provision, emotional support, and liaisons among different agencies, have long been advocated but not extensively implemented. We report the impact on the experiences of parents and the practices of health care professionals of a novel, hospital-based, key worker service (Community Link Team [CLT]),...

We propose in this work to derive a CLT in the functional linear regression model. The main difficulty is due to the fact that estimation of the functional parameter leads to a kind of ill-posed inverse problem. We consider estimators that belong to a large class of regularizing methods and we first show that, contrary to the multivariate case, it is not possible to state a CLT in the topology ...

We establish a quenched Central Limit Theorem (CLT) for a smooth observable of random sequences of iterated linear hyperbolic maps on the torus. To this end we also obtain an annealed CLT for the same system. We show that, almost surely, the variance of the quenched system is the same as for the annealed system. Our technique is the study of the transfer operator on an anisotropic Banach space ...

The coefficients of the Markov binomial distribution are solved in terms of the underlying state-contingent probabilities of the Markov chain. This will be useful for researchers concerned with the analysis of data generated by a discrete Markov chain. The paper exploits the regenerative nature of the problem and solves the difference equations known to define the distribution. The LLN, CLT and...

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...