We consider the estimation of coefficients of a structural equation with many instrumental variables in a simultaneous equation system. It is mathematically equivalent to an estimating equation estimation or a reduced rank regression in the statistical linear models when the number of restrictions or the dimension increases with the sample size. As a semi-parametric method, we propose a class o...

The paper proposes and analyzes two prototype structures of coupled generalized van der Pol equations able to describe self-excitation of simultaneous oscillations with distinct frequencies. These structures are relevant for describing oscillations phenomena which may be encountered on systems subject to control. These structures are analyzed using the Krylov-Bogoliubov averaging method. This a...

Three UV spectrophotometric methods have been developed, simultaneous equation method, multicomponent analysis (II) and derivative spectroscopy method (III). The absorption maxima of the drugs were found to be 247, 259 and 272 nm, respectively for efavirenz, tenofovir disoproxil fumarate and lamivudine in methanol:water (50:50) solvent system. Efavirenz, tenofovir disoproxil fumarate and lamivu...

The simultaneous chemical kinetics and heat transfer model is used to predict the effects of the most important physical and thermal properties (thermal conductivity, reactor temperature and particle size) of the feedstock on the convective-radiant pyrolysis of biomass fuels. The effects of these parameters have been analyzed for different geometries such as slab, cylinder and sphere. Finite di...

This paper describes an algorithm to improve a computational cost for estimation using the Kriging method with a large number of sampling data. An improved formula to compute the weighting coefficient for Kriging estimation is proposed. The Sherman–Morrison–Woodbury formula is applied to solving an approximated simultaneous equation to determine a weighting coefficient. A profile of the matrix ...

A "tetrad" refers t o the difference i n the products of certain covariances (or correlations) among four random variables. A structural equation mode l often implies that some tetrads should be zero. These "vanishing tetrads" provide a means t o test structural equation models. In this paper we develop confirmatory tetrad analysis ( C T A ) . C T A applies a simultaneous test statistic for mul...

in this paper, we propose a parametric uniform approximation method to solve np-hard absolute value equations. for this, we uniformly approximate absolute value in such a way that the nonsmooth absolute value equation can be formulated as a smooth nonlinear equation. by solving the parametric smooth nonlinear equation using newton method, for a decreasing sequence of parameters, we can get the ...

in this work, the solution of a boundary value problem is discussed via asemi analytical method. the purpose of the present paper is to inspect theapplication of the adomian decomposition method for solving the nagumo tele-graph equation. the numerical solution is obtained for some special cases sothat demonstrate the validity of method.