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Loss function approaches to predict ...
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Zhang, Jian.
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Loss function approaches to predict a spatial quantile and its exceedance region.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Loss function approaches to predict a spatial quantile and its exceedance region./
作者:
Zhang, Jian.
面頁冊數:
144 p.
附註:
Advisers: Peter F. Craigmile; Noel Cressie.
Contained By:
Dissertation Abstracts International67-12B.
標題:
Statistics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3244798
Loss function approaches to predict a spatial quantile and its exceedance region.
Zhang, Jian.
Loss function approaches to predict a spatial quantile and its exceedance region.
- 144 p.
Advisers: Peter F. Craigmile; Noel Cressie.
Thesis (Ph.D.)--The Ohio State University, 2007.
An important problem in spatial statistics is to predict a spatial quantile and its associated exceedance region. This has applications in environmental sciences, natural resources, and agriculture, since unusual events tend to have a strong impact on the environment. In this dissertation, we first review loss-function approaches to quantify exceedances. We then develop a method for the prediction of the spatial exceedance region involving a class of loss functions based on image metrics. We give special attention to Baddeley's loss function, for which we calibrate the choice of a tuning parameter. We then propose a joint-loss approach for the prediction of both a spatial quantile and its associated exceedance region. The optimal predictor is obtained by minimizing the posterior expected loss, given the spatial-trend, noise, and spatial-covariance parameters. In practice, the parameters are estimated and the minimization involves simulated annealing. We compare various predictors' performances through a simulation and apply our methodology to a spatial dataset of decadal temperature change over the Americas.Subjects--Topical Terms:
517247
Statistics.
Loss function approaches to predict a spatial quantile and its exceedance region.
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An important problem in spatial statistics is to predict a spatial quantile and its associated exceedance region. This has applications in environmental sciences, natural resources, and agriculture, since unusual events tend to have a strong impact on the environment. In this dissertation, we first review loss-function approaches to quantify exceedances. We then develop a method for the prediction of the spatial exceedance region involving a class of loss functions based on image metrics. We give special attention to Baddeley's loss function, for which we calibrate the choice of a tuning parameter. We then propose a joint-loss approach for the prediction of both a spatial quantile and its associated exceedance region. The optimal predictor is obtained by minimizing the posterior expected loss, given the spatial-trend, noise, and spatial-covariance parameters. In practice, the parameters are estimated and the minimization involves simulated annealing. We compare various predictors' performances through a simulation and apply our methodology to a spatial dataset of decadal temperature change over the Americas.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3244798
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