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Biometrika 1983 70(1):257-261; doi:10.1093/biomet/70.1.257
© 1983 by Biometrika Trust
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Maximum likelihood estimates for multinomial probabilities via geometric programming

M. MAZUMDAR and T. R. JEFFERSON

Department of Industrial Engineering, University of Pittsburgh Pennsylvania, U.S.A.

This paper illustrates how the duality theory of geometric programming and the special methods available for solution can be used to obtain maximum likelihood estimates for multinomial probabilities. Three examples are given.

Key Words: Duality • Differential diagnosis • Nonlinear programming • Posynomial • Signomial program


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