Dynamical behaviour on the parameter space: new populational growth models proportional to beta densities

We present new populational growth models, generalized logistic models which are proportional to beta densities with shape parameters p and 2, where p > 1, with Malthusian parameter r. The complex dynamical behaviour of these models is investigated in the parameter space (r, p), in terms of topological entropy, using explicit methods, when the Malthusian parameter r increases. This parameter space is split into different regions, according to the chaotic behaviour of the models.

Constructing good deals in discrete time arbitrage-free dynamic pricing models

Recent literature has proved that many classical pricing models (Black and Scholes, Heston, etc.) and risk measures (V aR, CV aR, etc.) may lead to “pathological meaningless situations”, since traders can build sequences of portfolios whose risk leveltends to −infinity and whose expected return tends to +infinity, i.e., (risk = −infinity, return = +infinity). Such a sequence of strategies may be called “good deal”. This paper focuses on the risk measures V aR and CV aR and analyzes this caveat in a discrete time complete pricing model. Under quite general conditions the explicit expression of a good deal is given, and its sensitivity with respect to some possible measurement errors is provided too. We point out that a critical property is the absence of short sales. In such a case we first construct a “shadow riskless asset” (SRA) without short sales and then the good deal is given by borrowing more and more money so as to invest in the SRA. It is also shown that the SRA is interested by itself, even if there are short selling restrictions.

Volatility forecasting with range models: An evaluation of new alternatives to the CARR model

The aim of this paper is to analyze the forecasting ability of the CARR model proposed by Chou (2005) using the S&P 500. We extend the data sample, allowing for the analysis of different stock market circumstances and propose the use of various range estimators in order to analyze their forecasting performance. Our results show that there are two range-based models that outperform the forecasting ability of the GARCH model. The Parkinson model is better for upward trends and volatilities which are higher and lower than the mean while the CARR model is better for downward trends and mean volatilities.

The condensation and ordering of models of empty liquids

We consider a simple model consisting of particles with four bonding sites ("patches"), two of type A and two of type B, on the square lattice, and investigate its global phase behavior by simulations and theory. We set the interaction between B patches to zero and calculate the phase diagram as the ratio between the AB and the AA interactions, epsilon(AB)*, varies. In line with previous work, on three-dimensional off-lattice models, we show that the liquid-vapor phase diagram exhibits a re-entrant or "pinched" shape for the same range of epsilon(AB)*, suggesting that the ratio of the energy scales - and the corresponding empty fluid regime - is independent of the dimensionality of the system and of the lattice structure. In addition, the model exhibits an order-disorder transition that is ferromagnetic in the re-entrant regime. The use of low-dimensional lattice models allows the simulation of sufficiently large systems to establish the nature of the liquid-vapor critical points and to describe the structure of the liquid phase in the empty fluid regime, where the size of the "voids" increases as the temperature decreases. We have found that the liquid-vapor critical point is in the 2D Ising universality class, with a scaling region that decreases rapidly as the temperature decreases. The results of simulations and theoretical analysis suggest that the line of order-disorder transitions intersects the condensation line at a multi-critical point at zero temperature and density, for patchy particle models with a re-entrant, empty fluid, regime. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3657406]

Implications of the LHC two-photon signal for two-Higgs-doublet models

We study the implications for two-Higgs-doublet models of the recent announcement at the LHC giving a tantalizing hint for a Higgs boson of mass 125 GeV decaying into two photons. We require that the experimental result be within a factor of 2 of the theoretical standard model prediction, and analyze the type I and type II models as well as the lepton-specific and flipped models, subject to this requirement. It is assumed that there is no new physics other than two Higgs doublets. In all of the models, we display the allowed region of parameter space taking the recent LHC announcement at face value, and we analyze the W+W-, ZZ, (b) over barb, and tau(+)tau(-) expectations in these allowed regions. Throughout the entire range of parameter space allowed by the gamma gamma constraint, the numbers of events for Higgs decays into WW, ZZ, and b (b) over bar are not changed from the standard model by more than a factor of 2. In contrast, in the lepton-specific model, decays to tau(+)tau(-) are very sensitive across the entire gamma gamma-allowed region.

Consumo infantil de alimentos industrializados e renda familiar na cidade de São Paulo

OBJETIVO: Descrever o consumo infantil de alimentos industrializados e a relação com a renda familiar per capita, com base em inquérito domiciliar. MÉTODOS: O consumo alimentar de uma amostra probabilística da população infantil residente na cidade de São Paulo, entre zero e 59 meses de idade (n=718), foi estudado em 1995/1996 por meio de inquérito recordatório de 24h. Analisou-se a relação entre o consumo de 24 alimentos industrializados e a renda familiar per capita, distribuída em quartis. RESULTADOS: O consumo de açúcar foi maior entre as crianças de menor renda, enquanto achocolatados, chocolates, iogurte, leite em pó modificado e refrigerantes foram mais consumidos por crianças de maior renda familiar per capita (p<0,05). CONCLUSÕES: Concluiu-se que a renda familiar per capita influencia o consumo de alguns alimentos industrializados.

Supporting leadership development by exposure to role models: two case studies

The idiomatic expression “In Rome be a Roman” can be applied to leadership training and development as well. Leaders who can act as role models inspire other future leaders in their behaviour, attitudes and ways of thinking. Based on two examples of current leaders in the fields of Politics and Public Administration, I support the idea that exposure to role models during their training was decisive for their career paths and current activities as prominent characters in their profession. Issues such as how students should be prepared for community or national leadership as well as cross-cultural engagement are raised here. The hypothesis of transculturalism and cross-cultural commitment as a factor of leadership is presented. Based on current literature on Leadership as well as the presented case studies, I expect to raise a debate focusing on strategies for improving leaders’ training in their cross-cultural awareness.

Inseticidas domésticos: padrão de uso segundo a renda per capita

OBJETIVO: Os inseticidas são poluentes largamente utilizados em muitos países, no entanto são poucos os estudos existentes sobre o uso desses produtos em ambiente doméstico. Assim, realizou-se estudo com o objetivo de caracterizar o padrão de uso de inseticidas domésticos e sua relação com a renda per capita. MÉTODOS: Entre outubro de 1999 e janeiro de 2000, foram aplicados questionários sobre o uso de inseticidas domésticos em 2.039 domicílios da área urbana de Pelotas, RS. Coletaram-se informações sobre o uso de inseticidas no último ano, forma de apresentação e grupo químico dos produtos disponíveis no momento da entrevista, proteção mecânica utilizada para o controle de insetos e nível socioeconômico. Utilizou-se o teste Qui-quadrado de tendência linear para verificar as associações, bem como a razão de prevalências e os intervalos de confiança. RESULTADOS: Em 89% dos domicílios visitados foram utilizados inseticidas domésticos, pelo menos uma vez, nos 12 meses que antecederam a entrevista e em 79% dos domicílios havia um ou mais produtos disponíveis no momento da entrevista. As formas de apresentação mais prevalentes foram os aerossóis e as pastilhas para aparelho elétrico do grupo químico piretróide. A proteção mecânica contra os insetos foi pouco utilizada. CONCLUSÕES: As famílias de melhor nível de renda dispunham com maior freqüência de inseticidas em aerossol do grupo químico piretróide, enquanto que as soluções pulverizadoras compostas por organofosforados estiveram mais presentes em domicílios de menor renda.

Long-term price range forecast applied to risk management using regression models

Long-term contractual decisions are the basis of an efficient risk management. However those types of decisions have to be supported with a robust price forecast methodology. This paper reports a different approach for long-term price forecast which tries to give answers to that need. Making use of regression models, the proposed methodology has as main objective to find the maximum and a minimum Market Clearing Price (MCP) for a specific programming period, and with a desired confidence level α. Due to the problem complexity, the meta-heuristic Particle Swarm Optimization (PSO) was used to find the best regression parameters and the results compared with the obtained by using a Genetic Algorithm (GA). To validate these models, results from realistic data are presented and discussed in detail.

Dynamical analysis in growth models: Blumberg’s equation

We present a new dynamical approach to the Blumberg's equation, a family of unimodal maps. These maps are proportional to Beta(p, q) probability densities functions. Using the symmetry of the Beta(p, q) distribution and symbolic dynamics techniques, a new concept of mirror symmetry is defined for this family of maps. The kneading theory is used to analyze the effect of such symmetry in the presented models. The main result proves that two mirror symmetric unimodal maps have the same topological entropy. Different population dynamics regimes are identified, when the intrinsic growth rate is modified: extinctions, stabilities, bifurcations, chaos and Allee effect. To illustrate our results, we present a numerical analysis, where are demonstrated: monotonicity of the topological entropy with the variation of the intrinsic growth rate, existence of isentropic sets in the parameters space and mirror symmetry.

An Extension of Gompertzian Growth Dynamics Weibull and Frechet Models

In this work a new probabilistic and dynamical approach to an extension of the Gompertz law is proposed. A generalized family of probability density functions, designated by Beta* (p, q), which is proportional to the right hand side of the Tsoularis-Wallace model, is studied. In particular, for p = 2, the investigation is extended to the extreme value models of Weibull and Frechet type. These models, described by differential equations, are proportional to the hyper-Gompertz growth model. It is proved that the Beta* (2, q) densities are a power of betas mixture, and that its dynamics are determined by a non-linear coupling of probabilities. The dynamical analysis is performed using techniques of symbolic dynamics and the system complexity is measured using topological entropy. Generally, the natural history of a malignant tumour is reflected through bifurcation diagrams, in which are identified regions of regression, stability, bifurcation, chaos and terminus.

Models with three Higgs doublets in the triplet representations of A(4) or S-4

We consider the quark sector of theories containing three scalar SU(2)(L) doublets in the triplet representation of A(4) (or S-4) and three generations of quarks in arbitrary A(4) (or S-4) representations. We show that for all possible choices of quark field representations and for all possible alignments of the Higgs vacuum expectation values that can constitute global minima of the scalar potential, it is not possible to obtain simultaneously nonvanishing quark masses and a nonvanishing CP-violating phase in the Cabibbo-Kobayashi-Maskawa quark mixing matrix. As a result, in this minimal form, models with three scalar fields in the triplet representation of A(4) or S-4 cannot be extended to the quark sector in a way consistent with experiment. DOI: 10.1103/PhysRevD.87.055010.

Five models for lepton mixing

We produce five flavour models for the lepton sector. All five models fit perfectly well - at the 1 sigma level - the existing data on the neutrino mass-squared differences and on the lepton mixing angles. The models are based on the type I seesaw mechanism, on a Z(2) symmetry for each lepton flavour, and either on a (spontaneously broken) symmetry under the interchange of two lepton flavours or on a (spontaneously broken) CP symmetry incorporating that interchange - or on both symmetries simultaneously. Each model makes definite predictions both for the scale of the neutrino masses and for the phase delta in lepton mixing; the fifth model also predicts a correlation between the lepton mixing angles theta(12) and theta(23).

Neutrino masses and mixing in A(4) models with three Higgs doublets

We study neutrino masses and mixing in the context of flavor models with A(4) symmetry, three scalar doublets in the triplet representation, and three lepton families. We show that there is no representation assignment that yields a dimension-5 mass operator consistent with experiment. We then consider a type-I seesaw with three heavy right-handed neutrinos, explaining in detail why it fails, and allowing us to show that agreement with the present neutrino oscillation data can be recovered with the inclusion of dimension-3 heavy neutrino mass terms that break softly the A(4) symmetry.

Renda, preço dos alimentos e participação de frutas e hortaliças na dieta

OBJETIVO: Analisar a influência da renda e preços dos alimentos sobre a participação de frutas, legumes e verduras no consumo alimentar das famílias. MÉTODOS: Os dados provêm da Pesquisa de Orçamentos Familiares da Fundação Instituto de Pesquisas Econômicas 1998/99, no Município de São Paulo. A influência da renda e do preço dos alimentos sobre a participação de frutas, legumes e verduras no total calórico foi estudada utilizando-se técnicas de análise de regressão para estimação de coeficientes de elasticidade. RESULTADOS: Observou-se aumento da participação de frutas, legumes e verduras no total de calorias adquirido com a diminuição de seu próprio preço, elevação da renda familiar, e aumento do preço dos demais alimentos. Um por cento da diminuição de preço das frutas, legumes e verduras aumentaria em 0,2% sua participação no total calórico; 1% de aumento do preço dos demais alimentos reduziria em 0,07%, a participação; 1% de aumento da renda familiar aumentaria em 0,04% a participação. O efeito dos preços dos demais alimentos perdeu intensidade nos estratos de maior renda, e nos outros dois casos não se identificou um padrão consistente de relação com os estratos de renda. CONCLUSÕES: A redução de preço de frutas, legumes e verduras, possível de ser obtida por meio de políticas públicas, poderia aumentar a participação desses alimentos na dieta dos domicílios do município de São Paulo e em realidades urbanas semelhantes.