We consider the problem of identifying the parameters of an unknown mixture of two arbitrary d-dimensional Gaussians from a sequence of random samples. Our main result is a computationally efficient moment-based estimator with an optimal convergence rate thus resolving a problem introduced by Pearson (1894). Denoting by σ the variance of the unknown mixture, we prove that Θ(σ) samples are neces...

In this paper optimal experimental designs for inverse quadratic regression models are determined. We consider two different parameterizations of the model and investigate local optimal designs with respect to the c-, Dand Ecriteria, which reflect various aspects of the precision of the maximum likelihood estimator for the parameters in inverse quadratic regression models. In particular it is d...

We study Cournot competition among firms in a networked marketplace that is centrally managed by a market maker. In particular, we study a situation in which a market maker facilitates trade between geographically separate markets via a constrained transport network. Our focus is on understanding the consequences of the design of the market maker and on providing tools for optimal design. To th...

We study the optimal design of incentive contracts for experts in different collusion environments, and explore implications for the organization of delegated expertise. We consider a principal relying on experts to gather and report two signals about a project’s value. The principal can have a single expert gather both signals or two experts gather one signal each. We show that absent collusio...

The remote sensing image can not only show the panorama information of the fault distribution, but also offer the information about the geology, physiognomy and digital elevation with high precision. In this paper we took the Hangzhou area as the example and systematically introduced the application of the remote sensing technology in the optimal design of the shallow artificial seismic line, a...

Considering the large amount of work that goes into the design of LNG processes, there is surprisingly little attention to their subsequent operation. This partly comes from the assumption that optimal design and optimal operation are the same, but this is not generally true. In this paper we study the optimal operation of a relatively simple LNG process, namely the PRICO process.

Broaching is a very common manufacturing process for the machining of internal or external complex shapes into parts. Due to the process geometry, broaching tool is the most critical parameter of the broaching process. Therefore, optimal design of the tools is needed in order to improve the productivity of the process. In this paper, a methodology is presented for optimal design of the broachin...

We obtain V-optimal designs, which minimize the average variance of predicted regression responses, over a finite set of possible regressors. We assume a general and possibly heterogeneous variance structure depending on the design points. The variances are either known (or at least reliably estimated) or unknown. For the former case we exhibit optimal static designs; our methods are then modif...