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Optimal designs for multiple treatments with unequal variances
Optimal treatment allocation D-optimality D A -optimality Treatment contrast Product design Variance heterogeneity
2016/1/26
The response of a patient in a clinical trial usually depends on both the se-lected treatment and some latent covariates, while its variance varies across the treatment groups. A general heteroscedast...
Identification of universally optimal circular designs for the interference model
Approximate design theory circular design interference model linear equations system universal optimality
2016/1/26
Many applications of block designs exhibit neighbor and edge ef-fects. A popular remedy is to use the circular design coupled with the interference model. The search for optimal or efficient designs h...
Optimal Designs for the Proportional Interference Model
Approximate design theory equivalence theorem interference model optimal design proportional mode
2016/1/26
The interference model has been widely used and studied in block experiments where the treatment for a particular plot has effects on its neighbor plots. In this paper, we study optimal circular desig...
Optimal Reinsurance under Distortion Risk Measures
Distortion risk measure expected premium principle the optimal reinsurance strategy VaR TVaR
2016/1/25
In this paper, we discuss the optimal reinsurance strategy of minimizing the in-surer’s risk under the distortion risk measure. We assume that reinsurance premium is determined by the expected premium...
Optimal reinsurance minimizing the distortion risk measure under general reinsurance premium principles Matrices
Optimal reinsurance Distortion risk measure Reinsurance pre- mium principle Wang’s premium principle VaR TVaR
2016/1/25
Recently the optimal reinsurance strategy concerning the insurer’s risk attitude and the reinsurance premium principle is an interesting topic. This paper discusses the optimal reinsurance problem wit...
Identification of universally optimal circular designs for the interference model
Approximate design theory circular design interference model linear equations system universal optimality
2016/1/20
Many applications of block designs exhibit neighbor and edge ef-fects. A popular remedy is to use the circular design coupled with the interference model. The search for optimal or efficient designs h...
Optimal Designs for the Proportional Interference Model
Approximate design theory equivalence theorem interference model optimal design proportional model
2016/1/20
The interference model has been widely used and studied in block experiments where the treatment for a particular plot has effects on its neighbor plots. In this paper, we study optimal circular desig...
Optimal Reinsurance under Distortion Risk Measures
Distortion risk measure expected premium principle the optimal reinsurance strategy VaR TVaR
2016/1/20
In this paper, we discuss the optimal reinsurance strategy of minimizing the in-surer’s risk under the distortion risk measure. We assume that reinsurance premium is determined by the expected premium...
Optimal reinsurance minimizing the distortion risk measure under general reinsurance premium principles Matrices
Optimal reinsurance Distortion risk measure Wang’s premium principle VaR TVaR
2016/1/20
Recently the optimal reinsurance strategy concerning the insurer’s risk attitude and the reinsurance premium principle is an interesting topic. This paper discusses the optimal reinsurance problem wit...
The Optimal Extinction of a Renewable Natural Resource
Natural Resource Optimal Extinction
2015/9/18
Competitive behavior in an extractive industry with increasing
marginal costs of production will generate a socially efficient pattern
of production over time. The Weinstein-Zeckhauserl analysis of ...
Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Optimal Excitation Signal Design for Frequency Domain System Identification Using Semidefinite Programming
Optimal Excitation Signal Design Frequency Domain System Identification Semidefinite Programming
2015/7/13
The paper discusses two methods of optimal excitation signal design for identification with Maximum Likelihood parameter estimation: The ‘classical’, dispersion function based method, and a new, semid...
Optimal Linear Static Control with Moment and Yield Objectives
Optimal Linear Static Control Moment Yield Objectives
2015/7/13
This report describes how to optimize linear static control problems involving first and second moments and yield objectives for Gaussian distributions. These problems can be cast as second-order cone...
Multi-objective H2/H-infinity-Optimal Control via Finite Dimensional Q-Parametrization and Linear Matrix Inequalities
Finite Dimensional Q-Parametrization Linear Matrix Inequalities
2015/7/13
The problem of multi-objective H2/H-infinity optimal controller design is reviewed. There is as yet no exact solution to this problem. We present a method based on that proposed by Scherer. The proble...