摘要翻译:
利用高斯空间上的部分积分,利用高斯过程的局部时间和占用时间构造了高斯过程漂移的Stein无偏风险估计(SURE)。通过几乎确定最小化收缩估计器的确定风险,导出了一种对连续时间高斯噪声干扰的输入信号的估计和去噪过程。
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英文标题:
《SURE shrinkage of Gaussian paths and signal identification》
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作者:
Nicolas Privault, Anthony R\'eveillac
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最新提交年份:
2009
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分类信息:
一级分类:Mathematics 数学
二级分类:Statistics Theory 统计理论
分类描述:Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计:例如统计推断、回归、时间序列、多元分析、
数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类:Quantitative Finance 数量金融学
二级分类:Risk Management 风险管理
分类描述:Measurement and management of financial risks in trading, banking, insurance, corporate and other applications
衡量和管理贸易、银行、保险、企业和其他应用中的金融风险
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一级分类:Statistics 统计学
二级分类:Statistics Theory 统计理论
分类描述:stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近,贝叶斯推论,决策理论,估计,基础,推论,检验。
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英文摘要:
Using integration by parts on Gaussian space we construct a Stein Unbiased Risk Estimator (SURE) for the drift of Gaussian processes using their local and occupation times. By almost-sure minimization of the SURE risk of shrinkage estimators we derive an estimation and de-noising procedure for an input signal perturbed by a continuous-time Gaussian noise.
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PDF链接:
https://arxiv.org/pdf/0809.1516