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題名 Monte Carlo Minimization for one step ahead sequential control
作者 Chen,Li-Shya;Seymour Geisser;Charles J. Geyer
貢獻者 統計系
日期 1999
上傳時間 20-Nov-2014 18:14:17 (UTC+8)
摘要 Sequential updating solutions to optimal control problems are typically not available in closed form. We present a method of Monte Carlo calculation of sequential one step ahead updating solutions by simulating realizations from the predictive distribution of model parameters and approximating the predictive expected loss (PEL) by averaging over the simulations. The minimizer of the approximate PEL is taken to approximate the exact PEL. The approximate minimizer is shown to converge to the exact minimizer under mere lower semi-continuity of the loss function and is shown to be asymptotically normal under stronger conditions. Examples are given from the problem of controlling a linear regression model with autoregressive responses (ARX) or with autocorrelated errors and from dynamic input-output models using a variety of loss functions.
關聯 Diagnosis and Predcition ,The IMA volumes in mathematics and its applications, 114,109-129
資料類型 article
dc.contributor 統計系en_US
dc.creator (作者) Chen,Li-Shya;Seymour Geisser;Charles J. Geyeren_US
dc.date (日期) 1999en_US
dc.date.accessioned 20-Nov-2014 18:14:17 (UTC+8)-
dc.date.available 20-Nov-2014 18:14:17 (UTC+8)-
dc.date.issued (上傳時間) 20-Nov-2014 18:14:17 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/71612-
dc.description.abstract (摘要) Sequential updating solutions to optimal control problems are typically not available in closed form. We present a method of Monte Carlo calculation of sequential one step ahead updating solutions by simulating realizations from the predictive distribution of model parameters and approximating the predictive expected loss (PEL) by averaging over the simulations. The minimizer of the approximate PEL is taken to approximate the exact PEL. The approximate minimizer is shown to converge to the exact minimizer under mere lower semi-continuity of the loss function and is shown to be asymptotically normal under stronger conditions. Examples are given from the problem of controlling a linear regression model with autoregressive responses (ARX) or with autocorrelated errors and from dynamic input-output models using a variety of loss functions.en_US
dc.format.extent 126 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) Diagnosis and Predcition ,The IMA volumes in mathematics and its applications, 114,109-129en_US
dc.title (題名) Monte Carlo Minimization for one step ahead sequential controlen_US
dc.type (資料類型) articleen