... trees and more (see [ 26 ...] and computational statistics [ 2 ...prove centrallimit theorems for dependent random variables [ 7 , 16 , 23 , 27 , 36 ...α-mixing and precisely allows to ...
... study and recall some useful previous ...2.4 and we recall several results from [2] concerning the density functions appearing in these ...the CentralLimitTheorem (Theorem ...
... the CentralLimitTheorem is the most classical application of Stein’s ...the CentralLimitTheorem for Wasserstein distances of order p ≥ 2 which only involves moments of the ...
... Lindeberg centrallimittheorem for dependent ...Doukhan and Louhichi (1999), a new centrallimittheorem is obtained for sample mean or kernel density ...these ...
... Adaptive and interacting Markov Chains Monte Carlo (MCMC) algorithms are a novel class of non-Markovian algorithms aimed at improving the simulation efficiency for complicated target distribu- ...adaptive ...
... The selfsimilar processes have been widely studied due to their applications as models for various phenomena, like hydrology, network traffic analysis and mathematical finance. An interesting class of selfsimilar ...
... We establish the first central limit theorem in dimension d in this class of problems for the length of the tree and matching produced by a natural heuristic (the exo[r] ...
... MULTIVARIATE CENTRALLIMITTHEOREM ...vector, and let f h be the solution given by Barbour’s generator ...explicit and their dependence on the dimension d is studied when d is ...
... sizes and different bootstrap samples, n and m n ...4 and 5, ...symmetry, and yet the power of the test is also close to 1; it also increases with the sample ...
... t −→ t→∞ N (0, σ 2 ) , where N (0, σ 2 ) denotes usual Gaussian law. Such phenomena have also been observed in the discrete setting of OQWs [1]. A key point to show this result is the use of the quantum trajectories ...
... Knessl and Tier [5], Kogan and Birman [6, 7, 1] and Malyshev and Yakovlev ...setting and, in our opinion, do not really give a structural explanation of the phenomena ...
... Loubes and Maza (2007) while testing issues are tackled in Collier and Dalalyan ...(2009)) and one has to consider smaller classes of deformation functions to perform a reasonable ...G and ...
... In general, there always exists an optimal alignment (r 0 , r 1 , r 2 , ..., r d ) sat- isfying both ( 2.10 ) and ( 2.11 ) with, say, v = n α as above. (Consider any one of the longest common subsequences ...
... KOMOROWSKI AND STEFANO OLLA ...The centrallimittheorem for this class of random walks has been claimed by Kozlov under certain strong mixing conditions ...[4], Theorem 3, p. 121). ...
... (iii) T n S n x = x and T m S n x = S n−m x if n > m. Then there exists a T -invariant strongly mixing (Gaussian) Borel probability measure µ on X with full support. Theorem 1.2 has also been obtained in ...
... Major’s Theorem, which is our main tool to obtain CentralLimit Theorems, and use the powerful theory developed by Nourdin, Nualart, Ortiz-Latorre, Peccati, Tudor and others to do ...
... consistency and the asymptotic normality of the robust estimator of the covariance have been discussed in ...quantiles and the trimmed-means. The consistency and asymptotic normality of this ...
... ∞ and Lip g 2 < ...Doukhan and Louhichi, 1999), GARCH(p, q) or ARCH(∞) processes (see Doukhan et ...Doukhan and Lang, 2002), causal or non causal bilinear processes (see Doukhan et ...2005) ...
... multivariate centrallimittheorem (CLT) for the trajectories where the limiting distribution is specified by the stoichiometry matrix and reaction probabilities which are the analogous of FBA ...