Partially Observed Markov Random Fields Are Variable Neighborhood Random Fields

The present paper has two goals. First to present a natural example of a new class of random fields which are the variable neighborhood random fields. The example we consider is a partially observed nearest neighbor binary Markov random field. The second goal is to establish sufficient conditions ensuring that the variable neighborhoods are almost surely finite. We discuss the relationship between the almost sure finiteness of the interaction neighborhoods and the presence/absence of phase transition of the underlying Markov random field. In the case where the underlying random field has no phase transition we show that the finiteness of neighborhoods depends on a specific relation between the noise level and the minimum values of the one-point specification of the Markov random field. The case in which there is phase transition is addressed in the frame of the ferromagnetic Ising model. We prove that the existence of infinite interaction neighborhoods depends on the phase.

Average control of Markov decision processes with Feller transition probabilities and general action spaces

This paper studies the average control problem of discrete-time Markov Decision Processes (MDPs for short) with general state space, Feller transition probabilities, and possibly non-compact control constraint sets A(x). Two hypotheses are considered: either the cost function c is strictly unbounded or the multifunctions A(r)(x) = {a is an element of A(x) : c(x, a) <= r} are upper-semicontinuous and compact-valued for each real r. For these two cases we provide new results for the existence of a solution to the average-cost optimality equality and inequality using the vanishing discount approach. We also study the convergence of the policy iteration approach under these conditions. It should be pointed out that we do not make any assumptions regarding the convergence and the continuity of the limit function generated by the sequence of relative difference of the alpha-discounted value functions and the Poisson equations as often encountered in the literature. (C) 2012 Elsevier Inc. All rights reserved.

Hospital costs related to streptococcal meningitis among children in Sao Jose dos Campos, Sao Paulo State, Brazil

Knowledge of hospital costs is highly important for public health decision-making. This study aimed to estimate direct hospital costs related to pneumococcal meningitis in children 13 years or younger in the city of Sao Jose dos Campos, Sao Paulo State, Brazil, from January 1999 to December 2008. Data were obtained from medical records. Hospital costs were calculated according to the mixed method for measurement of quantities of items with identified costs and value attribution to items consumed (micro-costing and gross-costing). All costs were calculated according to monetary values for November 2009 and in Brazilian currency (Real). Epi Info 3.5.1 was used for frequencies and means analysis. Forty-one cases were reported. Direct hospital costs varied from R$ 1,277.90 to R$ 19,887.56 (mean = R$ 5,666.43), or 10 to 20 times the mean cost of hospitalization for other diseases. Hospital staff labor was the highest cost, followed by medication, procedures, supplies, and lab tests.

SINGULARLY PERTURBED DISCOUNTED MARKOV CONTROL PROCESSES IN A GENERAL STATE SPACE

This paper studies the asymptotic optimality of discrete-time Markov decision processes (MDPs) with general state space and action space and having weak and strong interactions. By using a similar approach as developed by Liu, Zhang, and Yin [Appl. Math. Optim., 44 (2001), pp. 105-129], the idea in this paper is to consider an MDP with general state and action spaces and to reduce the dimension of the state space by considering an averaged model. This formulation is often described by introducing a small parameter epsilon > 0 in the definition of the transition kernel, leading to a singularly perturbed Markov model with two time scales. Our objective is twofold. First it is shown that the value function of the control problem for the perturbed system converges to the value function of a limit averaged control problem as epsilon goes to zero. In the second part of the paper, it is proved that a feedback control policy for the original control problem defined by using an optimal feedback policy for the limit problem is asymptotically optimal. Our work extends existing results of the literature in the following two directions: the underlying MDP is defined on general state and action spaces and we do not impose strong conditions on the recurrence structure of the MDP such as Doeblin's condition.

Custos hospitalares da meningite causada por Streptococcus pneumoniae na cidade de São José dos Campos, São Paulo, Brasil

O conhecimento dos custos hospitalares é de grande importância para os processos de tomada de decisão em saúde pública. O objetivo deste estudo foi estimar os custos hospitalares diretos relacionados à meningite pneumocócica em crianças com até 13 anos (inclusive), na cidade de São José dos Campos, São Paulo, Brasil, de janeiro de 1999 a dezembro de 2008. Foram obtidos dados de prontuários médicos. O cálculo foi realizado pelo método misto de mensuração das quantidades dos itens de custos e atribuição de valor aos itens consumidos (micro-costing e gross-costing). Os valores monetários referem-se a novembro de 2009, sendo expressos em reais. A análise das frequências e médias foi realizada pelo programa Epi Info versão 3.5.1. Foram notificados 41 casos. Os custos hospitalares diretos variaram de R$ 1.277,90 a R$ 19.887,56 (média = R$ 5.666,43), ou seja, 10 a 20 vezes maiores que o custo médio de internações pago pelo SUS. Os custos dos honorários profissionais foram os mais relevantes, seguidos pelos custos dos medicamentos, procedimentos, materiais e exames laboratoriais.

Estrutura e aspectos da regeneração natural de Floresta Ombrófila Mista no Parque Estadual de Campos do Jordão, SP, Brasil

O estudo buscou avaliar diferenças florísticas e estruturais entre os componentes adulto e regenerante de trecho de Floresta Ombrófila Mista em Campos do Jordão, a fim de levantar hipóteses sobre sua trajetória sucessional. Para amostragem do componente adulto (CAP > 15 cm) foram instaladas 50 parcelas permanentes de 10 × 20 m e, em cada uma dessas, cinco subparcelas de 1 × 1 m para amostragem do componente regenerante (h > 30 cm e CAP < 15 cm). No componente adulto foram amostrados 1.770 indivíduos, distribuídos em 58 espécies, 38 gêneros e 26 famílias (H' = 3,08 e J = 0,73). Já entre os regenerantes foram observados 576 indivíduos, 55 espécies, 39 gêneros e 23 famílias (H' = 3,41 e J = 0,84). Constatou-se que são necessárias ações de manejo para a conservação in situ das coníferas locais.