Modified decomposition method for nonlinear volterra-fredholm integrodifferential equation

Victor Leiva; Antonio Sanhueza; Nelson Araneda; Pranab K. Sen

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Modified decomposition method for nonlinear volterra-fredholm integrodifferential equation

Author(s)

Victor Leiva Departamento de Estadistica, CIMFAV, Universidad de Valparaiso, Valparaiso, Chile

Antonio Sanhueza Departamento de Matematica y Estadistica, Universidad de La Frontera, Temuco, CHILE

Nelson Araneda Departamento de Matematica y Estadistica, Universidad de La Frontera, Temuco, CHILE

Pranab K. Sen Department of Biostatistics, University of North Carolina, Chapel Hill, UNITED STATES

Abstract

In the multivariate nonlinear regression model, parameter estimators and test statistics based on least squares and maximum likelihood methods are usually nonrobust. For this type of models, we introduce M-estimators and M-tests, which are robust to departures from normality. In addition, we study the asymptotic properties and consider a computational algorithm for these estimators.

Publication Details

Page(s) 1-13

DOI DOI not available

Published Journal: Pakistan Journal of Statistics, Volume: 26, Issue: 1, Year: 2010

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