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Second order duality for multiobjective programming with cone constraints 认领 引用 被引量：1
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作者 TANG Li Ping YAN Hong YANG Xin Min 《Science China Mathematics》 SCIE CSCD 2016年第7期1285-1306,共22页
We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are establishe... We focus on second order duality for a class of multiobjective programming problem subject to cone constraints. Four types of second order duality models are formulated. Weak and strong duality theorems are established in terms of the generalized convexity, respectively. Converse duality theorems, essential parts of duality theory, are presented under appropriate assumptions. Moreover, some deficiencies in the work of Ahmad and Agarwal(2010) are discussed. 展开更多
关键词 multiobjective programming cone constraints second order duality
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Maximum Likelihood Estimation via Duality for Cell Probabilities Subject to Convex and Log-convex Constraints 认领 引用
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作者 Yan-ping MA 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第1期157-170,共14页
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 findi... 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. 展开更多
关键词 convex cone duality cone I-projection log-convex constraint maximum likelihood estimation
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