Free Access
Volume 12, April 2008
Page(s) 127 - 153
Published online 23 January 2008
  1. V. Bally and C. Pagès, A quantization algorithm for solving discrete time multidimensional optimal stopping problems. Bernoulli 9 (2003) 1003–1049. [CrossRef] [MathSciNet] [Google Scholar]
  2. V. Bally, C. Pagès and J. Printems, First order schemes in the numerical quantization method. Mathematical Finance 13 (2001) 1–16. [CrossRef] [Google Scholar]
  3. J.A. Bucklew and G.L. Wise, Multidimensional asymptiotic quantization theory with r-th power distortion measure. IEEE Trans. Inform. Theory, 28, Special issue on quantization, A. Gersho & R.M. Grey Eds., (1982) 239–247. [Google Scholar]
  4. S. Delattre, S. Graf, H. Luschgy and G. Pagès, Quantization of probability distributions under norm-based distortion measures. Statist. Decisions 22 (2004) 261–282. [CrossRef] [MathSciNet] [Google Scholar]
  5. S. Delattre, J.C. Fort and G. Pagès, Local distortion and µ-mass of the cells of one dimensional asymptotically optimal quantizers. Comm. Statist. Theory Methods 33 (2004) 1087–1117. [CrossRef] [MathSciNet] [Google Scholar]
  6. S. Graf and H. Luschgy, Foundations of Quantization for Probability Distributions. Lect. Notes in Math. 1730, Springer, Berlin (2000). [Google Scholar]
  7. S. Graf and H. Luschgy, Rates of convergence for the empirical quantization error. Ann. Probab. 30 (2002) 874–897. [CrossRef] [MathSciNet] [Google Scholar]
  8. H. Luschgy and G. Pagès, Functional quantization of stochastic processes. J. Funct. Anal. 196 (2002) 486–531. [CrossRef] [MathSciNet] [Google Scholar]
  9. H. Luschgy and G. Pagès, Sharp asymptotics of the functional quantization problem for Gaussian processes. Ann. Probab. 32 (2004) 1574–1599. [CrossRef] [MathSciNet] [Google Scholar]
  10. P. Mattila, Geometry of Sets and Measures in Euclidean Spaces. Cambridge University Press (1995). [Google Scholar]
  11. G. Pagès, A space vector quantization method for numerical integration. J. Comput. Appl. Math. 89 (1997) 1–38. [Google Scholar]
  12. G. Pagès and J. Printems, Functional quantization for numerics with an application to option pricing. Monte Carlo Methods & Applications 11 (2005) 407–446. [CrossRef] [Google Scholar]
  13. A. Sellami, Quantization based filtering method using first order approximation. Pré-pub. LPMA-1009 (2005). To appear in SIAM J. Numerical Analysis. [Google Scholar]
  14. P.L. Zador, Development and evaluation of procedures for quantizing multivariate distributions. Ph.D. thesis, Stanford University (1963). [Google Scholar]
  15. P.L. Zador, Asymptotic quantization error of continuous signals and the quantization dimension. IEEE Trans. Inform. Theory 28, Special issue on quantization, A. Gersho & R.M. Grey Eds. (1982) 139–149. [Google Scholar]

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