Estimação paramétrica e não-paramétrica em modelos de markov ocultos

In this work we study the Hidden Markov Models with finite as well as general state space. In the finite case, the forward and backward algorithms are considered and the probability of a given observed sequence is computed. Next, we use the EM algorithm to estimate the model parameters. In the general case, the kernel estimators are used and to built a sequence of estimators that converge in L1-norm to the density function of the observable process

Ergodicidade em cadeias de Markov não-homogêneas e cadeias de Markov com transições raras

The central objective of a study Non-Homogeneous Markov Chains is the concept of weak and strong ergodicity. A chain is weak ergodic if the dependence on the initial distribution vanishes with time, and it is strong ergodic if it is weak ergodic and converges in distribution. Most theoretical results on strong ergodicity assume some knowledge of the limit behavior of the stationary distributions. In this work, we collect some general results on weak and strong ergodicity for chains with space enumerable states, and also study the asymptotic behavior of the stationary distributions of a particular type of Markov Chains with finite state space, called Markov Chains with Rare Transitions

Modelagem do consumo de energia de redes de sensores sem fio usando SystemC-AMS e stateflow

This work aims at modeling power consumption at the nodes of a Wireless Sensor Network (WSN). For doing so, a finite state machine was implemented by means of SystemC-AMS and Stateflow modeling and simulation tools. In order to achieve this goal, communication data in a WSN were collected. Based on the collected data, a simulation environment for power consumption characterization, which aimed at describing the network operation, was developed. Other than performing power consumption simulation, this environment also takes into account a discharging model as to analyze the battery charge level at any given moment. Such analysis result in a graph illustrating the battery voltage variations as well as its state of charge (SOC). Finally, a case study of the WSN power consumption aims to analyze the acquisition mode and network data communication. With this analysis, it is possible make adjustments in node-sensors to reduce the total power consumption of the network.

FERRITINA: intervalos de referência para adultos no Estado do Rio Grande do Norte

Ferritin is a protein composed of heavy and light chains, non-covalently linked and which accommodates, in its core, thousands of atoms of iron. Furthermore, this protein represents the stock of iron in the body and it is characterized as an acute marker and predictor of diseases, such as iron deficiency anemia, hereditary hemochromatosis and others. Considering the variability of reference values and the analytical methods currently available, the aim of this work was to propose 95% confidence intervals for adults in the State of Rio Grande do Norte, Brazil, after determining the average concentration of serum ferritin for both sexes, beyond its correlation with the age. We analyzed 385 blood samples, collected by venipuncture from individuals residing in the State, after 12-14 hours of fast. The populational sample had 169 men and 216 women between 18-59 years old, which filled a questionnaire on socioeconomic, food habits and accounts about previous and current diseases. The sample collections were itinerant and the results of erythrogram, fasting glucose, alanine aminotransferase, aspartate aminotransferase, γ-glutamyl transferase, urea, creatinine, leukocyte count and platelets, beyond C-reactive protein, were issued to each participant, so that, after selection of the apparently healthy individuals, the dosage of serum ferritin was carried out. Statistical analysis was performed using the softwares SPSS 11.0 Windows version, Epi Info 3.3.2 and Graf instant pad (version 3.02), and the random population sample was single (finite population), for which the test of linear correlation and diagram of dispersion were also made. After selection of individuals and determination of serum ferritin, the most discrepant outliers were disregarded (N = 358, Men = 154/Women = 207) and the average value determined for the masculine sex individuals was 167,18 ng / dL; for the feminine sex individuals, the average value obtained was 81,55 ng / dL. Moreover, we found that 25% of men had values < 90,30 ng / dL; 50% ≤ 156,25 ng / dL and 75% ≤ 229,00 ng / dL. In the group of women, 25% had values < 38,80 ng / dL; 50% ≤ 65,00 ng / dL and 75% ≤ 119,00 ng / dL. Through the correlation coefficient (r = 0,23 with p = 0,003), it is possible to suggest the existence of positive linear correlation between age and serum ferritin for men. The correlation coefficient for women (r = 0,16 with p = 0,025) also confirms the existence of positive linear correlation between serum ferritin and age. Considering the analysis carried out and specific methods corroborating with the proposed benchmarks, we concluded that the average value found for men is higher than that found for women. Furthermore, this scenario rises with age for both sexes, and the 95% confidence intervals obtained were 74 ng/dL ≤ μ ≤ 89 ng/dL and 152ng/dL ≤ μ ≤183ng/dL for the feminine and masculine sex individuals respectively

Otimização topológica de estruturas termoelásticas tridimensionais

This work presents an optimization technique based on structural topology optimization methods, TOM, designed to solve problems of thermoelasticity 3D. The presented approach is based on the adjoint method of sensitivity analysis unified design and is intended to loosely coupled thermomechanical problems. The technique makes use of analytical expressions of sensitivities, enabling a reduction in the computational cost through the use of a coupled field adjoint equation, defined in terms the of temperature and displacement fields. The TOM used is based on the material aproach. Thus, to make the domain is composed of a continuous distribution of material, enabling the use of classical models in nonlinear programming optimization problem, the microstructure is considered as a porous medium and its constitutive equation is a function only of the homogenized relative density of the material. In this approach, the actual properties of materials with intermediate densities are penalized based on an artificial microstructure model based on the SIMP (Solid Isotropic Material with Penalty). To circumvent problems chessboard and reduce dependence on layout in relation to the final optimal initial mesh, caused by problems of numerical instability, restrictions on components of the gradient of relative densities were applied. The optimization problem is solved by applying the augmented Lagrangian method, the solution being obtained by applying the finite element method of Galerkin, the process of approximation using the finite element Tetra4. This element has the ability to interpolate both the relative density and the displacement components and temperature. As for the definition of the problem, the heat load is assumed in steady state, i.e., the effects of conduction and convection of heat does not vary with time. The mechanical load is assumed static and distributed

Fases e criticalidade no modelo ashkin - teller de três cores

The usual Ashkin-Teller (AT) model is obtained as a superposition of two Ising models coupled through a four-spin interaction term. In two dimension the AT model displays a line of fixed points along which the exponents vary continuously. On this line the model becomes soluble via a mapping onto the Baxter model. Such richness of multicritical behavior led Grest and Widom to introduce the N-color Ashkin-Teller model (N-AT). Those authors made an extensive analysis of the model thus introduced both in the isotropic as well as in the anisotropic cases by several analytical and computational methods. In the present work we define a more general version of the 3-color Ashkin-Teller model by introducing a 6-spin interaction term. We investigate the corresponding symmetry structure presented by our model in conjunction with an analysis of possible phase diagrams obtained by real space renormalization group techniques. The phase diagram are obtained at finite temperature in the region where the ferromagnetic behavior is predominant. Through the use of the transmissivities concepts we obtain the recursion relations in some periodical as well as aperiodic hierarchical lattices. In a first analysis we initially consider the two-color Ashkin-Teller model in order to obtain some results with could be used as a guide to our main purpose. In the anisotropic case the model was previously studied on the Wheatstone bridge by Claudionor Bezerra in his Master Degree dissertation. By using more appropriated computational resources we obtained isomorphic critical surfaces described in Bezerra's work but not properly identified. Besides, we also analyzed the isotropic version in an aperiodic hierarchical lattice, and we showed how the geometric fluctuations are affected by such aperiodicity and its consequences in the corresponding critical behavior. Those analysis were carried out by the use of appropriated definitions of transmissivities. Finally, we considered the modified 3-AT model with a 6-spin couplings. With the inclusion of such term the model becomes more attractive from the symmetry point of view. For some hierarchical lattices we derived general recursion relations in the anisotropic version of the model (3-AAT), from which case we can obtain the corresponding equations for the isotropic version (3-IAT). The 3-IAT was studied extensively in the whole region where the ferromagnetic couplings are dominant. The fixed points and the respective critical exponents were determined. By analyzing the attraction basins of such fixed points we were able to find the three-parameter phase diagram (temperature £ 4-spin coupling £ 6-spin coupling). We could identify fixed points corresponding to the universality class of Ising and 4- and 8-state Potts model. We also obtained a fixed point which seems to be a sort of reminiscence of a 6-state Potts fixed point as well as a possible indication of the existence of a Baxter line. Some unstable fixed points which do not belong to any aforementioned q-state Potts universality class was also found