Oleksiy V. Kapustyan (Taras Shevchenko National University of Kyiv), Pavlo O. Kasyanov (National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute), José Valero (Universidad Miguel Hernández de Elche), Michael Z. Zgurovsky (National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute).
Abstract. In this paper we prove the existence of global attractors in the strong topology of the phase space for semi ows generated by vanishing viscosity approximations of some class of complex uids. We also show that the attractors tend to the set of all complete bounded trajectories of the original problem when the parameter of the approximations goes to zero.
Speaker: Manuel Ruiz (Universidad de Granada).
Title: “Minimax Inequalities and Nonlinear Innite Programming”.
Date: jueves 28 de Junio, 13:00 h.
Localication: Sala de Seminarios (Edificio Torretamarit).
Abstract. A minimax inequality guarantees the validity of the interchange of the operations “sup” and “inf” for certain two-variable functions. We rst show some recent advances on minimax theory and then illustrate their versatility with some applications to nonlinear innite programming.
Juan Aparicio (University Miguel Hernandez), Miguel A. Durán (University of Malaga), Ana Lozano-Vivas (University of Malaga), Jesús T. Pastor (University Miguel Hernández).
Abstract. Previous work suggests that the charter value hypothesis is theoretically grounded and empirically sup-ported, but not universally. Accordingly, this paper aims to perform an analysis of the relations betweencharter value, risk taking, and supervision, taking into account the relations’ complexity. Specifically,using the CAMELS rating system as a general framework for supervision, we study how charter valuerelates to risk and supervision by means of classification and regression tree analysis. The sample coversthe period 2005–2016 and consists of listed banks in countries that were members of the Eurozone whenit came into existence, along with Greece. To evaluate the crisis consequences, we also separately analyzefour subperiods and countries that required financial aid from third parties and those that did not so,along with large and small banks. Our results reflect the complexity of the relations between chartervalue, supervision, and risk. Indeed, supervision and charter value seem aligned regarding only sometypes of risk.
Hobza, T. (Department of Mathematics, Czech Technical University in Prague); Morales, D. (Operations Research Center, Miguel Hernández University of Elche); Santamaría, L. (Operations Research Center, Miguel Hernández University of Elche)
Abstract. Poverty proportions are averages of dichotomic variables that can be explained by unit-level binomial-logit mixed models. The change between the poverty proportions of two consecutive years is an indicator describing the evolution of poverty. This paper applies a unit-level temporal binomial-logit mixed model for estimating poverty proportions and their changes. The model parameters are estimated by the maximum likelihood method for the Laplace approximation of the loglikelihood. The empirical best predictors (EBP) of proportions and changes are calculated and compared with plug-in estimators. The mean squared error of the EBP is estimated by a parametric bootstrap. A simulation experiment is carried out to study the empirical behavior of the EBP and the plug-in estimators. An application to the estimation of poverty proportions and changes in counties of the region of Valencia, Spain, is given.
Aparicio, J.(Center of Operations Research (CIO), Miguel Hernandez University of Elche); Santin, D. ( Department of Applied Economics VI, Complutense University of Madrid).
Abstract. Aparicio, Crespo-Cebada, Pedraja-Chaparro, and Santin (2017) recently extended the Camanho and Dyson (2006) Malmquist-type index (CDMI) for determining group performance in cross-sectional studies to panel or pseudo-panel databases. In that paper, it was shown that the pseudo-panel Malmquist index (PPMI) can be easily interpreted as the ratio of aggregated productivity changes in two groups of decision making units over time, if and only if a new difficult-to-interpret term, the so called ‘divergence compo- nent’ (DC), is equal to one. The aim of this paper is twofold. First, based upon considering a baseline group technology, we define a new base-group base-period PPMI where the DC always vanishes. Second, when more than two groups are analyzed, we show that under this framework the new base-group base- period PPMI, the new base-group CDMI and the components of both indexes satisfy the circular relation. Both results will make it easier for practitioners applying the two indexes in different economic sectors, regardless of how many groups are being compared.