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| 題 名 | Two-Level Fractional Factorials and Bayesian Prediction |
|---|---|
| 作 者 | Mitchell,Toby J.; Morris,Max D.; Ylvisaker,Donald; | 書刊名 | Statistica Sinica |
| 卷 期 | 5:2 1995.07[民84.07] |
| 頁 次 | 頁559-573 |
| 分類號 | 319.16 |
| 關鍵詞 | 平穩過程; Bayesian prediction; Computer experiments; Fractional factorial designs; Stationary processes; Two-level factors; |
| 語 文 | 英文(English) |
| 英文摘要 | The paper considers the problem of design for prediction of a deterministic response function x over a domain T. A Bayesian a approach is used, where the random function that represents prior uncertainty about x is a stationary Gaussian stochastic process X. Here T = {-1, 1}[fee2], the designs considered are fractional factorials, and the objective is to optimize the choice of design with respect to some criterion. The structure of stationary and of isotropic processes on T is discussed, along with the conditioning of such a process based on observation at a fractional factorial design. There are useful regularities in this, together with workable criteria on the prediction of interactions and on the prediction of unobserved values of the process. |
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