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Robust design for the estimation of a threshold probability

dc.contributor.authorHu, Rui
dc.date.accessioned2021-07-13
dc.date.accessioned2022-05-31T01:44:12Z
dc.date.available2022-05-31T01:44:12Z
dc.date.issued2018
dc.description.abstractWe consider the construction of robust sampling designs for the estimation of threshold probabilities in spatial studies. A threshold probability is a probability that the value of a stochastic process at a particular location exceeds a given threshold. We propose designs such that the estimation of threshold probabilities is robust to two possible model uncertainties: misspecified regression responses and covariance structures. To address these two uncertainties of this stochastic process, we average the mean squared error of the predicted values relative to the true values, over all possible covariance structures in a neighbourhood of the experimenter's nominal choice, and then maximize it over a neighbourhood of the fitted model. Finally, the maximum is minimized to obtain the robust designs.
dc.description.urihttps://library.macewan.ca/full-record/her/133167295
dc.identifier.citationR. Hu; Robust design for the estimation of a threshold probability. Canadian Journal of Statistics, Article DOI: 10.1002/cjs.11469
dc.identifier.doihttps://doi.org/10.1002/cjs.11469
dc.identifier.urihttps://hdl.handle.net/20.500.14078/2397
dc.languageEnglish
dc.language.isoen
dc.rightsAll Rights Reserved
dc.subjectincreasing domain asymptotics
dc.subjectrobust design
dc.subjectspatial sampling design
dc.subjectthreshold probability
dc.subjectuniversal kriging
dc.titleRobust design for the estimation of a threshold probabilityen
dc.typeArticle

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