An extension of rss-based model comparison tests for weighted least squares

International Journal of Pure and Applied Mathematics

Volumn 79, Issue 1, 2012, Pages 155-183

  Banks, H T ^a   Kenz, Zackary R ^a   Thompson, W Clayton ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Asymptotic statistics; Model comparison tests; Ordinary least squares; Weighted least squares

Indexed keywords

EID: 84866341775     PISSN: 13118080     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Takeshi Amemiya, Nonlinear regression models, Ch. 6 in Handbook of Econometrics, Volume I, Z. Griliches and M. D. Intriligator, Eds. North Holland, Amsterdam, 333-389.
2. H.T. Banks and B.G. Fitzpatrick, Statistical methods for model comparison in parameter estimation problems for distributed systems, J. Math. Biol., 28 (1990), 501-527.
3. H.T. Banks, S. Hu, Z.R. Kenz, C. Kruse, S. Shaw, J.R. Whiteman, M.P. Brewin, S.E. Greenwald, and M.J. Birch, Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: Methodology, CRSC-TR12-09, North Carolina State University, April 2012; J. Inverse and Ill-Posed Problems, submitted.
4. H.T. Banks and P. Kareiva, Parameter estimation techniques for transport equations with applications to population dispersal and tissue bulk flow models, J. Math. Biol., 17 (1983), 253-272.
5. H.T. Banks, P. Kareiva, and P.D. Lamm, Modeling insect dispersal and estimaing parameters when mark-release techniques may cause initial disturbances, J. Math. Biol., 22 (1985), 259-277. (Pubitemid 16254223)
6. H.T. Banks, P. Kareiva, and K. Murphy, Parameter estimation techniques for interaction and redistribution models: a predator-prey example, Oe-cologia, 74 (1987), 356-362. (Pubitemid 20417737)
7. H.T. Banks, Z.R. Kenz, and W.C. Thompson, A review of selected techniques in inverse problem nonparametric probability distribution estimation, CRSC-TR12-13, North Carolina State University, May 2012; J. In-verse and Ill-Posed Problems, accepted.
8. H.T. Banks and K. Kunisch, Estimation Techniques for Distributed Parameter Systems, Birkhauser, Boston, 1989.
9. H.T. Banks, Karyn L. Sutton, W. Clayton Thompson, G. Bocharov, Marie Doumic, Tim Schenkel, Jordi Argilaguet, Sandra Giest, Cristina Peligero, and Andreas Meyerhans, A new model for the estimation of cell proliferation dynamics using CFSE data, CRSC-TR11-05, North Carolina State University, Revised July 2011; J. Immunological Methods, 373 (2011), 143-160; DOI:10.1016/j.jim.2011.08. 014.
10. H.T. Banks, Karyn L. Sutton, W. Clayton Thompson, Gennady Bocharov, Dirk Roose, Tim Schenkel, and Andreas Meyerhans, Estimation of cell proliferation dynamics using CFSE data, CRSC-TR09-17, North Carolina State University, August 2009; Bull. Math. Biol., 70 (2011), 116-150.
11. H.T. Banks and W. Clayton Thompson, A division-dependent compartmental model with cyton and intracellular label dynamics, CRSC-TR12-12, North Carolina State University, Revised August 2012; Intl. J. Pure and Appl. Math, 77 (2012), 119-147.
12. H.T. Banks and W. Clayton Thompson, Mathematical models of dividing cell populations: Application to CFSE data, CRSC-TR12-10, North Carolina State University, April 2012; J. Math. Modeling of Natural Phe-nomena, to appear.
13. H.T. Banks and H.T. Tran, Mathematical and Experimental Modeling of Physical and Biological Processes, CRC Press, Boca Raton London New York, 2009.
14. K.P. Burnham and D.R. Anderson, Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach, (2nd Edition), Springer, New York, 2002.
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18. B.G. Fitzpatrick, Statistical methods in parameter identification and model selection. Ph.D. Thesis, Division of Applied Mathematics, Brown University, Providence, RI, 1988.
19. A. Ronald Gallant, Nonlinear Statistical Models, John Wiley and Sons, New York, 1987.
20. J. Hasenauer, D. Schittler, and F. Allgower, A computational model for proliferation dynamics of division-and label-structured populations, arXive.org, arXiv:1202.4923v1, 22 February 2012.
21. E.D. Hawkins, M.L. Turner, M.R. Dowling, C. van Gend, and P.D. Hodgkin, A model of immune regulation as a consequence of randomized lymphocyte division and death times, Proc. Natl. Acad. Sci., 104 (2007), 5032-5037. (Pubitemid 47186171)
22. T. Luzyanina, D. Roose, T. Schenkel, M. Sester, S. Ehl, A. Meyerhans, and G. Bocharov, Numerical modelling of label-structured cell population growth using CFSE distribution data, Theoretical Biology and Medical Modelling, 4 (2007), Published Online.
23. D. Schittler, J. Hasenauer, and F. Allgower, A generalized model for cell proliferation: Integrating division numbers and label dynamics, Proc. Eighth International Workshop on Computational Systems Biology (WCSB 2011), June 2011, Zurich, Switzerland, p. 165-168.
24. G.A. Seber and C.J. Wild, Nonlinear Regression, Wiley, Hoboken, NJ, 2003.
25. W. Clayton Thompson, Partial Differential Equation Modeling of Flow Cy-tometry Data from CFSE-based Proliferation Assays, Ph.D. Dissertation, Dept. of Mathematics, North Carolina State University, Raleigh, December, 2011.
26. D. Valdez-Jasso, H.T. Banks, M.A. Haider, D. Bia, Y. Zocalo, R.L. Armentano, and M.S. Olufsen, Viscoelastic models for passive arterial wall dynamics, CRSC TR08-24, North Carolina State University, December 2008; Adv. in Applied Math. and Mech., 1.2 (2009), 151-165.