A Direct Numerov Sixth-order Numerical Scheme to Accurately Solve the Unidimensional Poisson Equation with Dirichlet Boundary Conditions

In this article, we present an analytical direct method, based on a Numerov three-point scheme, which is sixth order accurate and has a linear execution time on the grid dimension, to solve the discrete one-dimensional Poisson equation with Dirichlet boundary conditions. Our results should improve numerical codes used mainly in self-consistent calculations in solid state physics.

Performance of balanced two-stage empirical predictors of realized cluster latent values from finite populations: A simulation study

Predictors of random effects are usually based on the popular mixed effects (ME) model developed under the assumption that the sample is obtained from a conceptual infinite population; such predictors are employed even when the actual population is finite. Two alternatives that incorporate the finite nature of the population are obtained from the superpopulation model proposed by Scott and Smith (1969. Estimation in multi-stage surveys. J. Amer. Statist. Assoc. 64, 830-840) or from the finite population mixed model recently proposed by Stanek and Singer (2004. Predicting random effects from finite population clustered samples with response error. J. Amer. Statist. Assoc. 99, 1119-1130). Predictors derived under the latter model with the additional assumptions that all variance components are known and that within-cluster variances are equal have smaller mean squared error (MSE) than the competitors based on either the ME or Scott and Smith`s models. As population variances are rarely known, we propose method of moment estimators to obtain empirical predictors and conduct a simulation study to evaluate their performance. The results suggest that the finite population mixed model empirical predictor is more stable than its competitors since, in terms of MSE, it is either the best or the second best and when second best, its performance lies within acceptable limits. When both cluster and unit intra-class correlation coefficients are very high (e.g., 0.95 or more), the performance of the empirical predictors derived under the three models is similar. (c) 2007 Elsevier B.V. All rights reserved.

Latent or manifest observers : two dichotomous approaches of surveillance in mental health nursing

Background. Surveillance is a central activity among mental health nursing, but it is also questioned for its therapeutic value and considered to be custodial. Aim. The aim of this study was to describe how mental health nurses use different approaches to observe patients in relation to the practice of surveillance in psychiatric nursing care. Methods. In this study, Spradley's twelve-step ethnographic method was used. Results. Mental health nurses use their cultural knowing to observe patients in psychiatric care in various ways. Two dichotomous approaches were identified: the latent and the manifest approach. Discussion. Different strategies and techniques for observing patients are structured along two dichotomies. The underlying relationships between these two different dichotomous positions transform the act of observing into surveillance. This is further developed in a theoretical model called the powerful scheme of observation and surveillance (PSOS).

O problema de Dirichlet para a equação das superfícies mínimas em domínios não necessariamente convexos

Estudamos o problema de Dirichlet para a equação das superfícies mínimas em domínios limitados do plano. Provamos a existência e unicidade de gráficos mínimos sobre domínios limitados e não necessariamente convexos, com valores no bordo satisfazendo uma condição que denominamos condição da declividade limitada generalizada a qual, usando cilindros no lugar de planos, generaliza a condição clássica da declividade limitada. Com este resultado, dado um domínio limitado e suave qualquer do plano, conseguimos obter cotas explícitas para a norma C2 de dados no bordo deste domínio que garantem a existência de solução ao correspondente problema de Dirichlet.

Intrahousehold allocation in an unintentional random experiment

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Budgeting and resource allocation in universities, a public choice approach

The calls urging colleges and universities to improve their productivity are coming thick and fast in Brazil. Many studies are suggesting evaluation systems and external criteria to control universities production in qualitative terms. Since universities and colleges are not profit-oriented organizations (considering just the fair and serious researching and teaching organizations, of course) the traditional microeconomics and administrative variables used to measure efficiency do not have any direct function. In this sense, It could be created a as if market control system to evaluate universities and colleges production. The budget and the allocation resources mechanism inside it can be used as an incentive instrument to improve quality and productivity. It will be the main issue of this paper.

What is the role of bookbuilding in bond allocation ? : evidence from Brazil

A dissertação tem como objetivo analisar dois aspectos do processo de bookbuilding nas emissões de debêntures no mercado brasileiro. O primeiro aspecto é verificar se o underwriter utiliza, a exemplo do que ocorre no Initial Public Offering (IPO) de ações, o poder discricionário nas alocações das debêntures entre os investidores. O segundo consiste em encontrar as características, tanto do emissor quanto do investidor, que influenciam na eficiência do bidder no processo de bookbuilding. Para realizar os testes empíricos foi utilizada uma base de dados composta por 40 books1 (totalizando 727 bids) fornecidos por um banco de investimento.Verifica-se que o underwriter não beneficia nenhum investidor na alocação final das debêntures. Essa afirmação fica evidenciada quando se calcula a diferença entre alocação final (efetivamente recebida pelo investidor) e alocação teórica (estimada com base no método pro-rata) para os 27 books (totalizando 557 bids) que apresentam demanda superior a oferta. A diferença é nula para 96.6% da amostra, sendo que das 19 observações não nulas, 15 possuem diferença absoluta de uma debênture entre a alocação teórica e a final, resultado explicado em função do arredondamento das alocações.Contrariando a teoria de leilão de titulos públicos, onde autores, como Scott and Wolf (1979), defendem que os investidores devem utilizar o step bid como estratégia ótima de bid, este trabalho verificou que no caso de bookbuilding de debêntures no mercado brasileiro, os investidores usuários de step bid posssuem menos chances de ter seu bid atendido plenamente pelo underwriter. Quando o investidor é um gestor de recursos de terceiros (asset management), aumenta-se a possibilidade de ter sua demanda atendida. O maior sucesso do asset management no bookbuilding deve-se às peculiaridades do mercado brasileiro: (i) somente investidores locais participam dos bookbuilding, já que investidores estrangeiros possuem preferência e incentivos por títulos públicos; (ii) gestores de recursos de terceiros representam 75% da demanda por debêntures; (iii) o mercado de gestão de recursos é concentrado: os 5 maiores gestores concentram 60% da indústria. Com isso os gestores de recursos podem desenvolver uma expertise própria, já que são os principais demandadores e frequentemente participam dos bookbuilding. As características do emissor também influenciam no desempenho dos bidders: as debêntures de baixo e médio risco aumentam a possibilidade do bidder ter seu pedido atendido na íntegra. Além disso, como era esperado, quanto maior for a demanda do título, mais dificil é para o investor conseguir a quantidade desejável.

Allocation of authority in franchise chains

This article investigates the level of delegation in franchise chains, distinguishing the two most relevant franchising models: Business Format Franchising and Learning Network Franchising. The two models basically differ on the level of real authority (effective control over decisions) exercised by the franchisors. Differences in business features, such as the required standardization, monitoring costs and consumer sensitivity to variations in product attributes (consumer measurement costs), explain the adoption of the different models of franchising. These variables affect the trade-off between the risk of brand name loss and the gains in knowledge sharing and learning within the network. The higher the need for standardization, the higher is the risk of brand name loss, and, consequently, the more likely the franchisor will adopt an organizational design that confers more control over franchisees’ decisions, such as business format franchising. This paper presents two case studies with Brazilian food franchise chains that illustrate the main argument and suggest additional propositions. Moreover, an empirical analysis of 223 franchise chains provides additional support to the hypothesis of a negative the effect of required standardization on the level of delegation.

Retail competition and shelf space allocation

We develop a model to study shelf space allocation in retail. Retailers compete for consumers not only choosing prices but also by the space allocated to each product on shelves. Our approach depart from the existing literature on shelf allocation, as we model the problem of price setting and shelf allocation in an oligopolistic retail market. We present a simple model of retail competition in which prices are dispersed in the crosssection of stores but shelf allocation is not.

Centralized allocation in multiple markets

We study the problem of centralized allocation of indivisible objects in multiple markets. We show that the set of allocation rules that are group strategy-proof and Pareto-efficient are sequential dictatorships. Therefore, the solution of the joint al-location in multiple markets is significantly narrower than in the single-market case. Our result also applies to dynamic allocation problems. Finally, we provide conditions under which the solution of the single-market allocation coincides with the multiple-market case, and we apply this result to the study of the school choice problem with sibling priorities.