Numerical Methods

 
Vakcode:
E_EOR2_NUME
Periode:
Periode 1+2
Credits:
6.0
Voertaal:
Nederlands
Faculteit:
School of Business and Economics
Coördinator:
dr. L.F. Hoogerheide
Examinator:
dr. L.F. Hoogerheide
Docenten:
dr. A.A.N. Ridder
dr. L.F. Hoogerheide
Lesmethode(n):
Hoorcollege, Werkgroep, Computerpracticum
Niveau:
200

Doel vak

Acquainting the student with numerical methods and applications to
econometric problems.

Inhoud vak

Several methods will be discussed for solving numerical problems in
econometrics. Topics include:
- floating point representation of numbers on computers
- numerical differentiation
- numerical integration: quadrature and Monte Carlo integration
- interpolation methods
- finding zeros of functions: bisection, Newton(-Raphson), Secant
methods
- univariate optimization: golden section search.
- multivariate optimization: Newton(-Raphson) and BFGS with linesearch,
Nelder-Mead. Differential Evolution.
- optimization under restrictions using transformations.
- using optimization methods to compute Maximum Likelihood estimators in
non-Gaussian/non-linear econometric models
- Power method for computing eigenvalues and eigenvectors.
- Monte Carlo simulation methods

Onderwijsvorm

Classes and computer practicals.

Toetsvorm

Intermediate exam – Individual assessment
Final exam – Individual assessment
Individual assignment - Groups of 1 or 2 students

Literatuur

Cheney & Kincaid (2012), Numerical Mathematics and Computing. 7th
edition.

Aanbevolen voorkennis

Programming, Linear Algebra, Analysis II.

© Copyright Vrije Universiteit Amsterdam
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