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SUMMARY:Optimal experimental designs for stochastic processes whose covari
 ance is a function of the mean - Lpez Fidalgo\, J (Universidad de Castilla
 -la Mancha)
DTSTART:20110719T103000Z
DTEND:20110719T113000Z
UID:TALK32088@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Recent literature emphasizes\, for the analysis of compartment
 al models\, the need for models for stochastic processes whose covariance 
 structure depends on the mean. Covariance functions must be positive defin
 ite and this fact is nontrivial and constitutes one of the challenges of t
 he present work\, for a stochastic process whose covariance is a function 
 of the mean. We show that there exists a class of functions that\, compose
 d with the mean of the process\, preserve positive definiteness and can be
  used for the purposes of the present talk. We offer some examples for an 
 easy construction of such covariances and then study the problem of locall
 y D-optimal design through both simulation studies as well as real data in
 herent to a radiation retention model in the human body.\n
LOCATION:Seminar Room 1\, Newton Institute
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