We propose a simultaneous equation system with GARCHX errors to model the contemporaneous relations among Asian and American stock markets. We thus evaluate the correlation matrix over rolling windows and introduce a correlation matrix distance which allows a simple graphical analysis of contagion. The empirical analysis on Asian and American stock markets shows some evidences of contagion.

Nuclear magnetic resonance microscopy poses fundamental as well as practical challenges. The Torrey–Bloch equation obeyed by the magnetization density is basic to this field. We discuss exact solutions of the equation from a generalization that addresses the motion of the nuclear spins towards an attractive center with an arbitrary time dependence in the attractive (harmonic) potential. The sol...

This paper presents a simple two-step nonparametric estimator for a triangular simultaneous equation model. Our approach employs series approximations that exploit the additive structure of the model. The first step comprises the nonparametric estimation of the reduced form and the corresponding residuals. The second step is the estimation of the primary equation via nonparametric regression wi...

The aim of the present work was to evaluate with different statistical criteria the suitability of nine equations for describing and optimizing the simultaneous effect of temperature and pH on glucanex activity using two characteristic polysaccharides (curdlan and laminarin) as substrates. The most satisfactory solutions were found with an empirical equation constituted with parameters of pract...

Simultaneous nonlinear econometric models with discrete outcomes are often difficult to implement. This paper considers the use of the copula approach for a model with three jointly determined outcomes. It also deals with the discrete case in which outcomes include a mixture of dichotomous choices and discrete count data. We apply this technique to study self-selection and interdependence betwe...

We consider the oxygen diffusion equation. Oxygen diffusion in a sike cell with simultaneous absorption is an important problem. Oxygen diffusion has a wide range of medical applications. Numerical solutions of its partial differential equation are obtained by extrapolation method with the vector of values V approximating to C (diffusion) at the mesh points. And the results gave a good agreemen...

Aspects of the formation and equilibration of a quark-gluon plasma are explored using a quantum kinetic equation, which involves a non-Markovian, Abelian source term for quark and antiquark production and, for the collision term, a relaxation time approximation that defines a time-dependent quasi-equilibrium temperature and collective velocity. The strong Abelian field is determined via the sim...

Starting with theWigner distribution formulation for beam wave propagation in Hölder continuous non-Gaussian random refractive index fields we show that the wave beam regime naturally leads to the white-noise scaling limit and converges to a Gaussian white-noise model which is characterized by the martingale problem associated to a stochastic differential-integral equation of the Itô type. In t...

Two simple, accurate and precise methods for simultaneous estimation of Esomeprazole and Itopride in bulk drug and tablet dosage form have been described. Method-A employs formation and solving of simultaneous equation using 231 and 370 nm as two analytical wavelengths. Method -B is Absorption ratio method, which uses 308 and 331 nm as two analytical wavelengths.Beer’s law was obeyed in the con...

We solve the quantum Vlasov equation for fermions and bosons, incorporating spontaneous pair creation in the presence of back-reactions and collisions. Pair creation is initiated by an external impulse field and the source term is nonMarkovian. A simultaneous solution of Maxwell’s equation in the presence of feedback yields an internal current and electric field that exhibit plasma oscillations...