Analytical existence of solutions to a system of nonlinear equations with application
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Publication:964951
DOI10.1016/j.cam.2009.12.026zbMath1201.65080OpenAlexW2113187029MaRDI QIDQ964951
Publication date: 21 April 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.026
system of nonlinear equationsSchur complementNewton-Raphson methodanalytic solutionmultinomial distributionmatrix inversion principleroad safety measurestatistical road accident modelling
Numerical computation of solutions to systems of equations (65H10) Traffic problems in operations research (90B20)
Related Items (4)
On the maximum likelihood estimator for a discrete multivariate crash frequencies model ⋮ A cyclic algorithm for maximum likelihood estimation using Schur complement ⋮ Novel Solution of Nonlinear Equations Using Genetic Algorithm ⋮ A note on the strong consistency of a constrained maximum likelihood estimator used in crash data modeling
Cites Work
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- Maximum-Likelihood Estimation of Parameters Subject to Restraints
- A covariance components estimation procedure when modelling a road safety measure in terms of linear constraints
- Maximum Likelihood Methods for Log-Linear Models When Expected Frequencies are Subjected to Linear Constraints
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