Coleman, Charles (2016): A SAS® Macro for the Generalized RAS Algorithm.
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Abstract
The problem of constraining matrices of mixed sign to controls of possibly mixed sign arises in input-output matrices in economics and net migration in demography. The recently developed Generalized RAS (GRAS) algorithm is presented to solve these problems. The GRAS algorithm produces a unique solution that minimizes an entropy-like function. The algorithm is applied to a well-known example and compared to the solution originally obtained using a generalization of the Akers-Siegel procedure.
Item Type: | MPRA Paper |
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Original Title: | A SAS® Macro for the Generalized RAS Algorithm |
Language: | English |
Keywords: | matrix scaling; matrix raking; matrix balancing; mixed signs; GRAS; SAS; plus-minus problem; migration; GRAS |
Subjects: | C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C67 - Input-Output Models D - Microeconomics > D5 - General Equilibrium and Disequilibrium > D57 - Input-Output Tables and Analysis J - Labor and Demographic Economics > J1 - Demographic Economics > J19 - Other R - Urban, Rural, Regional, Real Estate, and Transportation Economics > R1 - General Regional Economics > R15 - Econometric and Input-Output Models ; Other Models |
Item ID: | 77797 |
Depositing User: | Dr. Charles Coleman |
Date Deposited: | 22 Mar 2017 03:41 |
Last Modified: | 27 Sep 2019 04:43 |
References: | Akers, D.S., and Siegel, J.S. (1965). “National Census Survival Rates, by Color and Sex, for 1950–1960.” Current Population Reports, series P-23, no. 15. Washington, D.C.: U.S. Bureau of the Census. Bregman, L.M. (1967). Proof of the Convergence of Sheleikhovskii’s Method for a Problem with Transportation Constraints. USSR Computational Mathematics and Mathematical Physics, 1(1): 191–204. Fagan, J. and Greenberg, B. (1984), Making Tables Additive in the Presence of Zeroes, in Proceedings of the Joint Statistical Meetings, Survey Research and Methodology Section. http://www.amstat.org/sections/srms/Proceedings/papers/1984_038.pdf, Accessed February 15, 2016. Junius T. and Oosterhaven J. (2003). The Solution of Updating or Regionalizing a Matrix with both Positive and Negative Entries. Economic Systems Research, 15(1), 87-96. Lenzen M., Gallego, B., and Wood, R. (2009). Matrix Balancing under Conflicting Information. Economic Systems Research, 21(1), 23–440. Lenzen M., Moran, D.D., Geschke A., and Kanemoto, K. (2014). A Non-Sign-Preserving RAS Variant. Economic Systems Research, 26(2), 197-208 Schneider, M.H. and Zenios, S.A. (1990). A Comparative Study of Algorithms for Matrix Balancing. Operations Research, 38(3), 439-455. Shryock, H.S., Siegel, J.S., and Associates (1973). The Methods and Materials of Demography (2nd Printing, revised). Washington, D.C.: U.S. Government Printing Office. Temurshoev U., Miller, R. E., and Bouwmeester, M. C. (2013). A Note on the GRAS Method. Economic Systems Research, 25(3), 361–367. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/77797 |
Available Versions of this Item
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A SAS® Macro for the Generalized RAS Algorithm. (deposited 20 Mar 2017 16:58)
- A SAS® Macro for the Generalized RAS Algorithm. (deposited 22 Mar 2017 03:41) [Currently Displayed]