Some Probabilistic Results in a Bisexual Branching Process with Immigration

2000 Mathematics Subject Classification: 60J80.A bisexual branching process with immigration of females and males is introduced. It is allowed, in each generation, that the mating function and the probability distributions associated to the offspring and the immigration may change depending on the number of progenitor couples. Relationships among the probability generating functions involved in the model and some transition and stochastic monotony properties are established.This research has been supported by the Ministerio de Ciencia y Tecnologia and the FEDER through the Plan Nacional de Investigacion Cientifica, Desarrollo e Innovaci on Tecnologica, grant BFM2003-06074

Estimation of the Offspring and Immigration Mean Vectors for Bisexual Branching Processes with Immigration of Females and Males

2000 Mathematics Subject Classification: 60J80, 62M05.This paper concerns with the bisexual branching model with immigration of females and males in each generation introduced in [4]. For this model the problem of estimating the offspring and immigration mean vectors is dealt. The estimation is considered in two sample situations, depending on the ability to observe the number of female and male immigrants or the impossibility to do it. The asymptotic properties of the proposed estimators are investigated in the supercritical case. The behaviour of the estimators is illustrated through a simulated example.Research supported by the Ministerio de Ciencia e Innovacion and the FEDER through the Plan Nacional de Investigacion Cientıfica, Desarrollo e Innovacion Tecnologica, grant MTM2009-13248

Modulación de la elongación axonal y la excitabilidad neuronal por receptores purinérgicos P2Y1, P2Y13 y P2X7

Tesis doctoral inédita leída en la Universidad Autónoma de Madrid. Facultad de Ciencias, Departamento de Biología Molecular. Fecha de lectura: 06-09-201

Stabilization of a class of slow-fast control systems at non-hyperbolic points

In this document, we deal with the local asymptotic stabilization problem of a class of slow fast systems (or singularly perturbed Ordinary Differential Equations). The systems studied here have the following properties: (1) they have one fast and an arbitrary number of slow variables, and (2) they have a non-hyperbolic singularity at the origin of arbitrary degeneracy. Our goal is to stabilize such a point. The presence of the aforementioned singularity complicates the analysis and the controller design. In particular, the classical theory of singular perturbations cannot be used. We propose a novel design based on geometric desingularization, which allows the stabilization of a non-hyperbolic point of singularly perturbed control systems. Our results are exemplified on a didactic example and on an electric circuit. (C) 2018 Elsevier Ltd. All rights reserved

Organizational Best Practices for Transportation Projects Delivered Using Alternative Contracting Methods

The use of Alternative Contracting Methods (ACM) to deliver US transportation projects has reached a point where a definitive set of best practices can be identified to leverage the lessons learned by early ACM adopters. The most pressing need is for guidance on how public agencies organize to implement ACMs in a budget-constrained environment where the possibility of increasing the number of public agency engineers is nil. This paper is based on mining the survey response data from 6 National Cooperative Highway Research Program (NCHRP) synthesis reports on ACM topics and proposes a framework for analyzing ACM practices deemed effective by peer-reviewed research to determine if each practice can be classified as a best practice. Importance index theory provides the analytical foundation for the framework and provides a ranking of candidate best practices in order of each practice’s importance and effectiveness. Nine effective ACM practices were identified and evaluated with only one, “appointing an agency ACM champion,” meeting the objective criteria for a best practice. The paper’s major contribution is to provide the suite of 1 best and 8 effective practices that can be employed when developing the organization for an agency that has decided to implement ACM project delivery.Keywords: Alternative contracting methods, best practices, organizational structure, index number theory