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Maximum Likelihood Estimation via Duality for Cell Probabilities Subject to convex and Log-convex Constraints

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Acta Mathematicae Applicatae Sinica 2014年第1期30卷 157-170页

作者： Yan-ping MA School of Science Beijing Jiaotong University

This article proposes a method for fitting models subject to a convex and log-convex constraint on the probability vector of a product multinomial （binomial） distribution. We present an iterative algorithm for finding the restricted maximum likelihood estimates （MLEs） of the probability vector and show that the algorithm converges to the true solution. Some examples are discussed to illustrate the method.

关键词： convex cone duality cone I-projection log-convex constraint maximum likelihood estimation

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向凸锥直积的投影

Northeastern Mathematical Journal 1994年第1期10卷 109-114页

作者：刘维史宁中

Let Ci denote a convex cone in g for i= 1,...,p. A direct product of these cones is given byC=C1×...×Cp'This poper studies a projection of a point in m onto *** algorithm of computingthe preojection is proposed and ... 详细信息

关键词： convex cone Isotonic Regression Projection Method

ON THE THEOREM OF ARROW-BARANKIN-BLACKWELL FOR WEAKIY COMPACT convex SET

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Chinese Annals of Mathematics,Series B 1994年第2期15卷 173-180页

作者： FU WANTAO(Department of Matehematics,Nanchang University, Nanchang 330047, Jiangxi, China) 南昌大学数学系江西南昌 330047

This paper studies the known density theorem of Arrow- Barankin-Blackwell. T he following main result is obtained: If X is a Hausdorff locally convex topological space and C X is a closed convex cone with bounded base, then for every nonempty weakly compact convex subset A, the set of positive proper efficient points of A is dense in the set of efficient points of A.

关键词： Positive proper efficient point Efficient point convex cone Hausdorff space.

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多目标规划的摄动问题(英文)

哈尔滨工业大学学报 1990年第6期 101-102页

作者：杨广文哈尔滨工业大学数学系

This paper discusses the perturbed problem of multiobjective programming in real normal linear space. It extends the results of single objective programming in M. S. Bazaraa and C. M. Shetty.

关键词： Multiobjective programming convex cone extreme point perturbed problem subgradient.

Controllability of Switched Affine Systems

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Controllability of Switched Affine Systems