seminars:stat:210304
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| + | In this paper we introduce a new procedure for spatial sampling design. | ||
| + | Previous studies (Zhu and Stein, 2006) have shown that the optimal sampling | ||
| + | design for spatial prediction with estimated parameters is nearly regular | ||
| + | with a few clustered points. The pattern is similar to a generalization of | ||
| + | the Neyman-Scott (GNS) process (Yau and Loh, 2012) which allows for | ||
| + | regularity in the parent process. This motivates the use of a realization | ||
| + | of the GNS process as sampling design points. This method translates the | ||
| + | high dimensional optimization problem of selecting sampling sites into a | ||
| + | low dimensional optimization problem of searching for the optimal parameter | ||
| + | sets in the GNS process. Simulation studies indicate that the proposed | ||
| + | sampling design algorithm is more computationally efficient than | ||
| + | traditional methods while achieving similar minimization of the criteria | ||
| + | functions. While the traditional methods become computationally infeasible | ||
| + | for sample size larger than a hundred, the proposed algorithm is applicable | ||
| + | to a size as large as n = 1024. A real data example of finding the optimal | ||
| + | spatial design for | ||
| + | predicting sea surface temperature in the Pacific Ocean is also considered. | ||
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| + | This is joint work with Szehim Leung, Chunyip Yau and Zhengyuan Zhu. | ||
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