Coleman, Charles (2016): A SAS® Macro for the Generalized RAS Algorithm.
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Abstract
Demographers and economists frequently encounter the problem of constraining matrices of mixed sign to controls of possibly mixed sign. 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 |
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: | 77651 |
Depositing User: | Dr. Charles Coleman |
Date Deposited: | 20 Mar 2017 16:58 |
Last Modified: | 03 Oct 2019 04:59 |
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/77651 |
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