Fractional order and non-linear system identification algorithms for biomedical applications

We discuss the modelling of dielectric responses of amorphous biological samples. Such samples are commonly encountered in impedance spectroscopy studies as well as in UV, IR, optical and THz transient spectroscopy experiments and in pump-probe studies. In many occasions, the samples may display quenched absorption bands. A systems identification framework may be developed to provide parsimonious representations of such responses. To achieve this, it is appropriate to augment the standard models found in the identification literature to incorporate fractional order dynamics. Extensions of models using the forward shift operator, state space models as well as their non-linear Hammerstein-Wiener counterpart models are highlighted. We also discuss the need to extend the theory of electromagnetically excited networks which can account for fractional order behaviour in the non-linear regime by incorporating nonlinear elements to account for the observed non-linearities. The proposed approach leads to the development of a range of new chemometrics tools for biomedical data analysis and classification.

The equivalent-weights particle filter in a high-dimensional system

In general, particle filters need large numbers of model runs in order to avoid filter degeneracy in high-dimensional systems. The recently proposed, fully nonlinear equivalent-weights particle filter overcomes this requirement by replacing the standard model transition density with two different proposal transition densities. The first proposal density is used to relax all particles towards the high-probability regions of state space as defined by the observations. The crucial second proposal density is then used to ensure that the majority of particles have equivalent weights at observation time. Here, the performance of the scheme in a high, 65 500 dimensional, simplified ocean model is explored. The success of the equivalent-weights particle filter in matching the true model state is shown using the mean of just 32 particles in twin experiments. It is of particular significance that this remains true even as the number and spatial variability of the observations are changed. The results from rank histograms are less easy to interpret and can be influenced considerably by the parameter values used. This article also explores the sensitivity of the performance of the scheme to the chosen parameter values and the effect of using different model error parameters in the truth compared with the ensemble model runs.

A Precise Formulation of the Third Law of Thermodynamics

The third law of thermodynamics is formulated precisely: all points of the state space of zero temperature I""(0) are physically adiabatically inaccessible from the state space of a simple system. In addition to implying the unattainability of absolute zero in finite time (or ""by a finite number of operations""), it admits as corollary, under a continuity assumption, that all points of I""(0) are adiabatically equivalent. We argue that the third law is universally valid for all macroscopic systems which obey the laws of quantum mechanics and/or quantum field theory. We also briefly discuss why a precise formulation of the third law for black holes remains an open problem.

QUASISTATIONARY DISTRIBUTIONS AND FLEMING-VIOT PROCESSES IN FINITE SPACES

Consider a continuous-time Markov process with transition rates matrix Q in the state space Lambda boolean OR {0}. In In the associated Fleming-Viot process N particles evolve independently in A with transition rates matrix Q until one of them attempts to jump to state 0. At this moment the particle jumps to one of the positions of the other particles, chosen uniformly at random. When Lambda is finite, we show that the empirical distribution of the particles at a fixed time converges as N -> infinity to the distribution of a single particle at the same time conditioned on not touching {0}. Furthermore, the empirical profile of the unique invariant measure for the Fleming-Viot process with N particles converges as N -> infinity to the unique quasistationary distribution of the one-particle motion. A key element of the approach is to show that the two-particle correlations are of order 1/N.

Leveraging new plans in AgentSpeak(PL)

In order to facilitate the development of agent-based software, several agent programming languages and architectures, have been created. Plans in these architectures are often self-contained procedures with an associated triggering event and a context condition, while any further information about the consequences of executing a plan is absent. However, agents designed using such an approach have limited flexibility at runtime, and rely on the designer’s ability to foresee all relevant situations an agent might have to handle. In order to overcome this limitation, we have created AgentSpeak(PL), an interpreter capable of performing state-space planning to generate new high-level plans. As the planning module creates new plans, the plan library is expanded, improving performance over time. However, for new plans to be useful in the long run, it is critical that the context condition associated with new plans is carefully generated. In this paper we describe a plan reuse technique aimed at improving an agent’s runtime performance by deriving optimal context conditions for new plans, allowing an agent to reuse generated plans as much as possible.

A test for strong hysteresis in international trade

The article suggests a new test for strong hysteresis in international trade. The variables that capture the effects of hysteresis are based on the model of Dixit (1989) with calibrations using a state-space model to determine the parameters for each point in time. These variables are then applied to a cointegration test with breaks, where it is possible to verify whether the hysteresis effect is essential in determining the long-term equilibrium.

Taylor principle and inflation stability in emerging market countriesw

The goal of this paper is to evaluate the validity of the Taylor principle for inflation control in 12 developing countries that use inflation targeting regimes: Brazil, Chile, Colombia, Hungary, Israel, Mexico, Peru, Philippines, Poland, South Africa, Thailand and Turkey. The test is based on a state-space model to determine when each country has followed the principle; then a threshold unit root test is used to verify if the stationarity of the deviation of the expected inflation from its target depends on compliance with the Taylor principle. The results show that such compliance leads to the stationarity of the deviation of the expected inflation from its target in all cases. Furthermore, in most cases, non-compliance with the Taylor principle leads to nonstationary deviation of the expected inflation.

Ensaios em econometria aplicada

This thesis has three chapters. Chapter 1 explores literature about exchange rate pass-through, approaching both empirical and theoretical issues. In Chapter 2, we formulate an estate space model for the estimation of the exchange rate pass-through of the Brazilian Real against the US Dollar, using monthly data from August 1999 to August 2008. The state space approach allows us to verify some empirical aspects presented by economic literature, such as coe cients inconstancy. The estimates o ffer evidence that the pass-through had variation over the observed sample. The state space approach is also used to test whether some of the "determinants" of pass-through are related to the exchange rate pass-through variations observed. According to our estimates, the variance of the exchange rate pass-through, monetary policy and trade ow have infuence on the exchange rate pass-through. The third and last chapter proposes the construction of a coincident and leading indicator of economic activity in the United States of America. These indicators are built using a probit state space model to incorporate the deliberations of the NBER Dating Cycles Committee regarding the state of the economy in the construction of the indexes. The estimates o ffer evidence that the NBER Committee weighs the coincident series (employees in nonagricultural payrolls, industrial production, personal income less transferences and sales) di fferently way over time and between recessions. We also had evidence that the number of employees in nonagricultural payrolls is the most important coincident series used by the NBER to de fine the periods of recession in the United States.

Estrutura a termo da taxa de juros no Brasil e previsibilidade de ciclos econômicos

O objetivo deste trabalho é caracterizar a Curva de Juros Mensal para o Brasil através de três fatores, comparando dois tipos de métodos de estimação: Através da Representação em Espaço de Estado é possível estimá-lo por dois Métodos: Filtro de Kalman e Mínimos Quadrados em Dois Passos. Os fatores têm sua dinâmica representada por um Modelo Autorregressivo Vetorial, VAR(1), e para o segundo método de estimação, atribui-se uma estrutura para a Variância Condicional. Para a comparação dos métodos empregados, propõe-se uma forma alternativa de compará-los: através de Processos de Markov que possam modelar conjuntamente o Fator de Inclinação da Curva de Juros, obtido pelos métodos empregados neste trabalho, e uma váriavel proxy para Desempenho Econômico, fornecendo alguma medida de previsão para os Ciclos Econômicos.

A general lagrangian approach for non-concave moral hazard problems

We establish a general Lagrangian for the moral hazard problem which generalizes the well known first order approach (FOA). It requires that besides the multiplier of the first order condition, there exist multipliers for the second order condition and for the binding actions of the incentive compatibility constraint. Some examples show that our approach can be useful to treat the finite and infinite state space cases. One of the examples is solved by the second order approach. We also compare our Lagrangian with 1\1irrlees'.

A general lagrangian approach for non-concave moral hazard problems

We establish a general Lagrangian for the moral hazard problem which generalizes the well known first order approach (FOA). It requires that besides the multiplier of the first order condition, there exist multipliers for the second order condition and for the binding actions of the incentive compatibility constraint. Some examples show that our approach can be useful to treat the finite and infinite state space cases. One of the examples is solved by the second order approach. We also compare our Lagrangian with 1\1irrlees'.

A taxa natural de juros no Brasil

Neste artigo, foi estimada a taxa natural de juros para a economia brasileira entre o final de 2001 e segundo trimestre de 2010 com base em dois modelos, sendo o primeiro deles o proposto por Laubach e Williams e o segundo proposto por Mesónnier e Renne, que trata de uma versão alterada do primeiro, que segundo os autores perimite uma estimação mais transparente e robusta. Em ambos os modelos, a taxa natural de juros é estimada em conjunto com o produto potencial, através de filtro de Kalman, no formato de um modelo Espaço de Estado. As estimativas provenientes dos dois modelos não apresentam diferenças relevantes, o que gera maior confiabilidade nos resultados obtidos. Para o período de maior interesse deste estudo (pós-2005), dada a existência de outras análises para período anterior, as estimativas mostram que a taxa natural de juros está em queda na economia brasileira desde 2006. A mensuração da taxa natural de juros, adicionalmente, possibilitou que fosse feita uma avaliação sobre a condução da política monetária implementada pelo Banco Central brasileiro nos últimos anos através do conceito de hiato de juros. Em linhas gerais, a análise mostrou um Banco Central mais conservador entre o final de 2001 e 2005, e mais próximo da neutralidade desde então. Esta conclusão difere da apontada por outros estudos, especialmente para o primeiro período.

Exogenous expectations on endogenous uncertainty: recursive equilibrium and survival

This paper analyses general equilibrium models with finite heterogeneous agents having exogenous expectations on endogenous uncertainty. It is shown that there exists a recursive equilibrium with the state space consisting of the past aggregate portfolio distribution and the current state of the nature and that it implements the sequential equilibrium. We establish conditions under which the recursive equilibrium is continuous. Moreover, we use the continuous recursive relation of the aggregate variables to prove that if the economy has two types of agents, the one who commits persistent mistakes on the expectation rules of the future endogenous variables is driven out of the market by the others with correct anticipations of the variables, that is, the rational expectations agents.

Determinantes do fluxo de fundos de investimento no Brasil

Nesse trabalho, procuramos identificar fatores sistemáticos que expliquem uma variação significativa nos fluxos destinados às diversas categorias de fundos de investimento brasileiros, a partir de análises de uma amostra de dados agregados de captações e resgates nesses produtos. O estudo buscou avaliar a existência de padrões de comportamento comuns aos investidores de fundos locais através da análise da migração de fluxos entre as diversas classes de fundos. Foram inicialmente tratados os fatores não comportamentais conhecidos que impactam o fluxo dos fundos, a variável dependente. Esses fatores conhecidos foram apurados através de uma revisão dos trabalhos acadêmicos dos mercados internacional e local. Após esse tratamento foi aplicado o método de decomposição de valores singulares (SVD - Singular Value Decomposition), com o objetivo de avaliarmos os efeitos comportamentais agrupados dos investidores. A decomposição em valores singulares sugere como principais fatores comuns comportamentos de entrada e saída de fundos em massa e migrações entre as classes de fundos de menor e as de maior risco, o que Baker e Wurgler (2007) chamaram de demanda especulativa, e que, segundo esses e outros autores pesquisados, poderia ser interpretada como uma proxy do sentimento dos investidores. Guercio e Tkac (2002) e Edelen et al. (2010), encontraram em suas pesquisas evidências da diferença de comportamento entre investidores de atacado e de varejo, o que foi detectado para a classes de fundos de Renda Variável no caso do presente estudo sobre o mercado brasileiro. O entendimento das variações na tolerância a risco dos investidores de fundos de investimento pode auxiliar na oferta de produtos mais compatíveis com a demanda. Isso permitiria projetar captações para os produtos com base nas características dessa oferta, o que também desenvolvemos nessa pesquisa para o caso das categorias de fundos Multimercado e Renda variável, através de um modelo de espaço de estados com sazonalidade determinística e inicialização SVD. O modelo proposto nesse trabalho parece ter conseguido capturar, na amostra avaliada (2005-2008), um comportamento que se manteve fora da amostra (2009-2011), validando, ao menos na amostra considerada, a proposta de extração dos componentes principais agregados do comportamento dos investidores de fundos brasileiros.

Estratégia de trading utilizando o modelo dinâmico de Nelson-Siegel

Esta pesquisa busca testar a eficácia de uma estratégia de arbitragem de taxas de juros no Brasil baseada na utilização do modelo de Nelson-Siegel dinâmico aplicada à curva de contratos futuros de taxa de juros de 1 dia da BM&FBovespa para o período compreendido entre 02 de janeiro de 2008 e 03 de dezembro de 2012. O trabalho adapta para o mercado brasileiro o modelo original proposto por Nelson e Siegel (1987), e algumas de suas extensões e interpretações, chegando a um dos modelos propostos por Diebold, Rudebusch e Aruoba (2006), no qual estimam os parâmetros do modelo de Nelson-Siegel em uma única etapa, colocando-o em formato de espaço de estados e utilizando o Filtro de Kalman para realizar a previsão dos fatores, assumindo que o comportamento dos mesmos é um VAR de ordem 1. Desta maneira, o modelo possui a vantagem de que todos os parâmetros são estimados simultaneamente, e os autores mostraram que este modelo possui bom poder preditivo. Os resultados da estratégia adotada foram animadores quando considerados para negociação apenas os 7 primeiros vencimentos abertos para negociação na BM&FBovespa, que possuem maturidade máxima próxima a 1 ano.