Sequential downscaling methods for estimation from aggregate data

Lecture Notes in Economics and Mathematical Systems

Volumn 581, Issue , 2006, Pages 155-169

  Fischer, G ^a   Ermolieva, T ^a   Ermoliev, Y ^a   Van Velthuizen, H ^a  

^a Institute for Applied Systems Analysis   (Austria)

Author keywords

Cross entropy; Downscaling; Minimax likelihood; Spatial estimation

Indexed keywords

EID: 53749095850     PISSN: 00758442     EISSN: None     Source Type: Book Series    
DOI: 10.1007/3-540-35262-7_9     Document Type: Conference Paper

References (20)

1. Bregman, L.M. (1967): Proof of the Convergence of Sheleikhovskii's Method for a Problem with Transportation Constraints. Journal of Computational Mathematics and Mathematical Physics 7/1, 191-204 (Zhournal Vychislitel'noi Matematiki, USSR, Leningrad, 1967).
2. Bierkens, M.F.P., Finke, P.A., de Willigen, P. (2000): Upscaling and Downscaling Methods for Environmental Research. Kluwer, Dordrecht, The Netherlands.
3. Borwein, J.M., Lewis, A.S., Nussbaum, R.D. (1994): Entropy Minimization, DAD Problems, and Doubly Stochastic Kernels. Journal of Functional Analysis 123, 264-307.
4. Carruthers, G.A.P. (1956): An Historical Review of the Gravity and Potential Concepts of Human Interaction. Journal of American Institute of Planners 22.
5. Censot, Y., Zenios, S.A. (1997): Parallel Optimization. Oxford University Press.
6. Esopo D.A., Lefkowitz, B. (1963): An Algorithm for Computing Interzonal Transfers Using the Gravity Model. Operation Research 11/6, 901-907.
7. Ermoliev, Y (1976): Stochastic Programming Methods. Nauka, Moscow (In Russian).
8. Ermoliev, Y. and Wets R. (Eds.) (1988): Numerical Techniques of Stochastic Optimization: Computational Mathematics. Springer-Verlag, Berlin, Germany.
9. Fisher, R.A. (1922). On the Mathematical Foundations of Theoretical Statistics. Philosophical Transactions of the Royal Society of London, Series A222, 309-368.
10. Fischer, G., van Velthuizen, H.T., Nachtergaele, F.O., and Medow, S. (2000): Global Agro-Ecological Zones 2000. International Institute for Applied Systems Analysis and Food and Agriculture Organization of the United Nations, Laxenburg, Austria. CD-ROM and web-site http://www.iiasa.ac.at/Research/LUC/ GAEZ/index.htm.
11. Fischer, G., H.T. van Velthuizen, M.M. Shah, and F.O. Nachtergaele (2002): Global Agro-ecological Assessment for Agriculture in the 21st Century: Methodology and Results. Research Report RR-02-02. International Institute for Applied Systems Analysis, Laxenburg, Austria.
12. Golan, A., Judge, G., Miller, D. (1996): Maximum Entropy Econometrics: Robust Estimation with Limited Data. Series in Financial Economics and Quantitative Analysis, John Wiley and Sons Ltd, Baffins Lane, Chichester, West Sussex PO19 1UD, England.
13. Kullback, J. (1959): Information Theory and Statistics. John Wiley and Sons, New York.
14. Morgenstern, O. (1963): On the Accuracy of Econmic Observations. Princeton University Press, Princeton, N.J., USA. University Press, Princeton, N.J., USA.
15. Sinkhorn, R. (1964): A Relationship between Arbitrary Positive Matrices and Doubly Stochastic Matrices. Annals of Mathematical Statistics 35/2, 876-879.
16. Wald, A. (1949): Note on the Consistency of the Maximum Likelihood Estimate. Annals of Mathematical Statistics 20, 595-601.
17. Wets, R., (1999): Statistical Estimation from An Optimization Viewpoint. Annals of Operation Research 85, 79-101.
18. Wood, S., Sebastian, K., Scherr, S. (2000): Pilot Analysis of Global Ecosystems: Agroecosystem. A Joint Study by International Food Policy Research Institute and World Resource Institute, Washington D.C.
19. Zangwill, W.I. (1969): Nonlinear Programming, A Unified Approach. Prentice Hall, Englewoods Cliffs, New Jersey.
20. Zenios, A., Zenious, S. (1992): Robust Optimization for Matrix Balancing with Noisy Data. Report 92-01-03, Dept. of Decision Sciences, Wharton School, Univ. of Pennsylvania.