<List of References>

MATH 858R / AMSC 808R: List of References for Spring 2014

1. Books

Analysis
[A] D.W. Kammler, A First Course in Fourier Analysis , Cambridge 2007
[B] E.H. Lieb, M.Loss, Analysis, AMS 2001
[C] J.J.Benedetto, Harmonic Analysis and Applications, CRC Press 1996
[D] J.W.Brown, R.V.Churchill, Complex Variables and Applications, McGraw Hill 2009
[E] P. Lax, Functional Analysis, Wiley 2002
[F] G.Bachman, L. Narici, Functional Analysis, Academic Press International Edition 1966

Statistics
[G] K.P. Burnham, D.R. Anderson, Model Selection and Multimodel Inference, 2nd Edition, Springer 2010.
[H] T. Ando, Bayesian Model Selection and Statistical Learning, CRC Press 2010
[I] T.-W. Lee, Independent Component Analysis, Kluwer Academic Publications 1998

Applications
[J] N.Dyn, D.Leviatan, D.Levin, A.Pinkus Eds., Multivariate Approximation and Applications, Cambridge 2001

2. Papers

[1] C. de Boor, R.A. DeVore, A. Ron, Approximation from Shift-Invariant Subspaces of L2(Rd), Trans. Amer. Math. Soc. 341 (1994), 787-806.
[2] C. de Boor, R.A. DeVore, A. Ron, The Structure of Finitely Generated Shift-Invariant Spaces in L2(Rd), J.Funct.Anal., 119 (1994), 37-78.
[3] Independent Component Analysis, A New Concept?, Signal Processing 36 (1994) 287-314. also here
[4] H. Akaike, A New Look at the Statistical Model Identification, IEEE Trans Aut.Cont., vol. AC-19, no. 6, (1974), 716-723.
[5] G. Schwarz, Estimating the Dimension of a Model, The Annals of Statistics, vol. 6, no. 2, (1978), 461-464.
[6] A. Barron, J. Rissanen, B. Yu, The Minimum Description Length Principle in Coding and Modeling, IEEE Trans on Info. Theory, vol. 44, no. 6, (1998), 2743-2760
[7] D.L. Weakliem, Introduction to the Special Issue on Model Selection, Sociological Methods & Research, vol. 33, no. 2, (2004), 167-186.
[8] J. Kuha, AIC and BIC: Comparisons of Assumptions and Performance, Sociological Methods & Research, vol. 33, no. 2, (2004), 188-229.
[9] R.A. Stine, Model Selection using Information Theory and the MDL Principle, Sociological Methods & Research, vol. 33, no. 2, (2004), 230-260.
[10] K.P. Burnham, D.R. Anderson, Multimodel Inference: Understanding AIC and BIC in Model Selection, Sociological Methods & Research, vol. 33, no. 2, (2004), 261-304.