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頁籤選單縮合
題名 | On Efficient Designing of Nonlinear Experiments |
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作者 | Chaudhuri,Probal; Mykland,Per A.; | 書刊名 | Statistica Sinica |
卷期 | 5:2 1995.07[民84.07] |
頁次 | 頁421-440 |
分類號 | 319.712 |
關鍵詞 | 非線性模式; Adaptive sequential designs; First order efficiency; Fisher information; Local Ф-optimality; Martingales; Maximum likelihood; Nonlinear models; |
語文 | 英文(English) |
英文摘要 | Adaptive designs that optimize the Fisher information associated with a nonlinear experiment are considered. Asymptotic properties of the maximum likelihood estimate and related statistical inference based on dependent data generated by sequentially designed adaptive nonlinear experiments are explored. Conditions on the experimental designs that ensure first order efficiency of the maximum likelihood estimate when the parametrization of the nonlinear model is sufficiently smooth and regular are derived. A few interesting open questions that arise naturally in course of the investigation are mentioned and briefly discussed. |
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