Numerical Integration in S-PLUS or R : A Survey

  title={Numerical Integration in S-PLUS or R : A Survey},
  author={Diego Kuonen}
This paper reviews current quadrature methods for approximate calculation of integrals within S-Plus or R. Starting with the general framework, Gaussian quadrature will be discussed first, followed by adaptive rules and Monte Carlo methods. Finally, a comparison of the methods presented is given. The aim of this survey paper is to help readers, not expert in computing, to apply numerical integration methods and to realize that numerical analysis is an art, not a science. 

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Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 29 references

Computer-intensive statistical methods: saddlepoint approximations with applications in bootstrap and robust inference

  • D. Kuonen
  • PhD Thesis N. 2449, Department of Mathematics…
  • 2001
Highly Influential
8 Excerpts

A Test of ADMINT

  • J. Berntsen, T. O. Espelid, A. Genz
  • Reports in Informatics 31, Department of…
  • 1988
Highly Influential
7 Excerpts

Numerical Quadrature and Cubature

  • H. Engels
  • New York: Academic Press.
  • 1980
Highly Influential
5 Excerpts

Practical Numerical Integration

  • G. Evans
  • New York: Wiley.
  • 1993
Highly Influential
5 Excerpts

Number-theoretic Methods in Statistics

  • K. T. Fang, Y. Wang
  • London: Chapman & Hall.
  • 1994
Highly Influential
1 Excerpt

Some applications of number-theoretic methods in statistics

  • K. T. Fang, Y. Wang, P. M. Bentler
  • Statistical Science, 9, 416–428.
  • 1994
Highly Influential
1 Excerpt

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