Adaptive confidence bands in the nonparametric fixed design regression model

التفاصيل البيبلوغرافية
العنوان: Adaptive confidence bands in the nonparametric fixed design regression model
المؤلفون: Pierre-Yves Massé, William Meiniel
بيانات النشر: arXiv, 2012.
سنة النشر: 2012
مصطلحات موضوعية: Statistics and Probability, Polynomial regression, Nonparametric statistics, Estimator, Inference, Mathematics - Statistics Theory, Regression analysis, Statistics Theory (math.ST), Regression, Nonparametric regression, Statistics, Econometrics, FOS: Mathematics, Statistics, Probability and Uncertainty, Mathematics, Confidence and prediction bands
الوصف: In this note, we consider the problem of existence of adaptive confidence bands in the fixed design regression model, adapting ideas in Hoffmann and Nickl (2011) to the present case. In the course of the proof, we show that sup-norm adaptive estimators exist as well in regression.
Comment: draft
DOI: 10.48550/arxiv.1207.3975
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9021e2b17b2063c3e9ce455f1c8693b0
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....9021e2b17b2063c3e9ce455f1c8693b0
قاعدة البيانات: OpenAIRE
الوصف
DOI:10.48550/arxiv.1207.3975