Immunoglobulins (Ig) play a key role in protection of fish against bacterial and viral pathogens. Atlantic salmon has three types of Ig (M, D and T), of which IgM is the main actor of the adaptive humoral immunity. Ig heavy chains are encoded with two loci and their variable regions (VR) are produced by somatic recombination of J, D and V genes. While immunological methods detect specific antib...

The general model of coagulation is considered. For basic classes of unbounded coagulation kernels the central limit theorem (CLT) is obtained for the fluctuations around the dynamic law of large numbers (LLN) described by the Smoluchovski equation. A rather precise rate of convergence is given both for LLN and CLT.

– 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 (...

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 ...

The paper herein presents green p-median problem (GMP) which uses the adaptive type-2 neural network for the processing of environmental and sociological parameters including costs of logistics operators and demonstrates the influence of these parameters on planning the location for the city logistics terminal (CLT) within the discrete network. CLT shows direct effects on increment of traffic v...

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...