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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 ...
Robust Linear Programming and Optimal Control
Linear programming Convex optimization Model-predictive control
2015/7/10
We describe an efficient method for solving an optimal control problem that arises in robust model-predictive control. The problem is to design the input sequence that minimizes the peak tracking erro...
Optimal Estimation of Deterioration from Diagnostic Image Sequence
Damage interior-point methods optimal estimation regularization
2015/7/9
Estimation of mechanical structure damage can greatly benefit from the knowledge that the damage accumulates irreversibly over time. This paper formulates a problem of estimation of a pixel-wise monot...
Optimal Rates of Convergence of Transelliptical Component Analysis
Transelliptical component analysis Optimal rates of convergence Double asymptotics Minimax lower bound Elliptical copula
2013/6/14
Han and Liu (2012) proposed a method named transelliptical component analysis (TCA) for conducting scale-invariant principal component analysis on high dimensional data with transelliptical distributi...
Optimal rates of convergence for persistence diagrams in Topological Data Analysis
Optimal rates convergence persistence diagrams Topological Data Analysis
2013/6/14
Computational topology has recently known an important development toward data analysis, giving birth to the field of topological data analysis. Topological persistence, or persistent homology, appear...
A general approach of least squares estimation and optimal filtering
Least squares Optimal filtering Matched filter Noise Optimization Power Spectrum Density
2013/6/17
The least squares method allows fitting parameters of a mathematical model from experimental data. This article proposes a general approach of this method. After introducing the method and giving a fo...