Asymptotic confidence bands in the Spektor-Lord-Willis problem via kernel estimation of intensity derivative

DOI10.1214/18-EJS1391zbMath1387.62061OpenAlexW2787204128MaRDI QIDQ1697473

Jakub Wojdyła, Zbigniew Szkutnik, Bogdan Ćmiel

Publication date: 20 February 2018

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ejs/1518080460

zbMATH Keywords

rate of convergenceinverse problemadaptive estimatorderivative estimationkernel estimatorminimax riskconfidence bandsSpektor-Lord-Willis problem

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15)

Related Items (3)

Nonparametric bootstrap confidence bands for unfolding sphere size distributions ⋮ A note on confidence intervals for deblurred images ⋮ Towards adaptivity via a new discrepancy principle for Poisson inverse problems

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