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Let (X,d) be a metric space where all closed balls are compact, with a fixed σ-finite Borel measure μ. Assume further that X is endowed with a linear order ⪯. Given a Markov (regular) operator P: L¹(μ) → L¹(μ) we discuss the asymptotic behaviour of the iterates Pⁿ. The paper deals with operators P which are Feller and such that the μ-absolutely continuous parts of the transition probabilities are continuous with respect to x. Under some concentration assumptions on the asymptotic transition probabilities...
In this paper we consider and compare several approximate methods for making small-sample statistical inference on the common mean in the heteroscedastic one-way random effects model. The topic of the paper was motivated by the problem of interlaboratory comparisons and is also known as the (traditional) common mean problem. It is also closely related to the problem of multicenter clinical trials and meta-analysis. Based on our simulation study we suggest to use the approach proposed by Kenward...
Non-linear mixed models defined by stochastic differential equations (SDEs) are considered: the parameters of the diffusion process are random variables and vary among the individuals. A maximum likelihood estimation method based on the Stochastic Approximation EM algorithm, is proposed.
This estimation method uses the Euler-Maruyama approximation of the diffusion, achieved using latent auxiliary data introduced to complete the diffusion process between each pair of measurement instants.
A tuned...
The paper reviews the basic mathematical methodology of modeling neutral genetic evolution, including the statistics of the Fisher-Wright process, models of mutation and the coalescence method under various demographic scenarios. The basic approach is the use of maximum likelihood techniques. However, due to computational problems, intuitive or approximate methods are also of great importance.
Early studies of the novel swine-origin 2009 influenza A (H1N1) epidemic indicate
clinical attack rates in children much higher than in adults. Non-medical interventions
such as school closings are constrained by their large socio-economic costs. Here we
develop a mathematical model to ascertain the roles of pre-symptomatic influenza
transmission as well as symptoms surveillance of children to assess the utility of school
closures. Our model analysis...
In this paper we present a method for evaluating the importance of GO terms which compose multi-attribute rules. The rules are generated for the purpose of biological interpretation of gene groups. Each multi-attribute rule is a combination of GO terms and, based on relationships among them, one can obtain a functional description of gene groups. We present a method which allows evaluating the influence of a given GO term on the quality of a rule and the quality of a whole set of rules. For each...
The aim of this study was to describe and analyze the regulation and spatio-temporal
dynamics of melanocyte migration in vitro and its coupling to cell
division and interaction with the matrix. The melanocyte lineage is particularly
interesting because it is involved in both embryonic development and
oncogenesis/metastasis (melanoma). Biological experiments were performed on two melanocyte
cell lines established from wild-type and β-catenin-transgenic...
Background: Community-acquired methicillin-resistant Staphylococcus
aureus (CA-MRSA), a novel strain of MRSA, has recently emerged and rapidly
spread in the community. Invasion into the hospital setting with replacement of the
hospital-acquired MRSA (HA-MRSA) has also been documented. Co-colonization with both
CA-MRSA and HA-MRSA would have important clinical implications given differences in
antimicrobial susceptibility profiles and the potential...
The objective of this paper is to introduce some recursive methods that can be used for estimating an value. These methods can be used more generally for the estimation of the -quantile of an unknown distribution provided we have 0-1 observations at our disposal. Standard methods based on the Robbins-Monro procedure are introduced together with different approaches of Wu or Mukerjee. Several examples are also mentioned in order to demonstrate the usefulness of the methods presented.
En este trabajo se describe una metodología que nos permite representar simultáneamente poblaciones estadísticas y variables aleatorias, así como transformaciones admisibles de las mismas. Para ello se representan las variables aleatorias, o sus transformadas, en el espacio tangente a la variedad de las poblaciones estadísticas, a continuación se proyectan en dicha variedad y, finalmente, se aplica un análisis canónico de poblaciones para su representación en un espacio de dimensión reducida. Los...
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