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SUMMARY:New approach to designing experiments with correlated observations
  - Zhigljavsky\, A (Cardiff University)
DTSTART:20110719T130000Z
DTEND:20110719T140000Z
UID:TALK32093@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will review some results of an on-going joint research proje
 ct with Holger Detter and Andrey Pepelyshev. In this project\, we propose 
 and develop a new approach to  the problem of optimal design for regressio
 n experiments with correlated observations. This approach extends the well
 -known techniques of Bickel-Herzberg and covers the cases of long-range de
 pendence in observations and different asymptotical relations between the 
 number of observations and the size of the design space. In many interesti
 ng cases the correlations kernels become singular which implies that tradi
 tional methods are no longer applicable. In these cases\, a potential theo
 ry can be used to derive optimality conditions and establish the existence
  and uniqueness of the optimal designs. In many instances the optimal desi
 gns can be explicitly computed.\n
LOCATION:Seminar Room 1\, Newton Institute
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