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Random systematic sampling can be viewed as the random choice of a minimum support design.
It is shown that, for any vector of inclusion probabilities, systematic sampling always provides a minimum support design.
The minimum support design concentrated on the barycenters corresponding to the regression functions is optimal for ν=q whereas it fails to be optimal for ν<q.
Another way of randomly selecting a minimum support design is proposed, in such a way that all the samples have a positive probability of being selected, and all the joint inclusion probabilities are positive.
Similar(56)
Designs defined on minimal sets of samples are called minimum support designs.
We show that cost-efficient designs can be constructed using useful properties of the minimum support designs.
These situations include some cases where the block size is greater than or equal to the number of model parameters, the case of minimum support designs and orthogonally blocked first-order designs.
It is observed and then proved that equispaced minimum-support designs are D-optimal.
We find and assess optimal minimum-support designs for three examples, each assuming a mean model from a different member of the exponential family: binomial, Poisson and normal.
The optimal minimum-support designs are found to often perform satisfactorily under both local and Bayesian D-optimality for concentrated prior distributions.
These databases have been used to help determine the minimum primary ground support designs required at many mine sites in Australasia, Europe, and the US.
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