1) La descarga del recurso depende de la página de origen
2) Para poder descargar el recurso, es necesario ser usuario registrado en Universia


Opción 1: Descargar recurso

Detalles del recurso

Descripción

The stereological problem of unfolding the distribution of spheres radii from linear sections, known as the Spektor-Lord-Willis problem, is formulated as a Poisson inverse problem and an $L^{2}$-rate-minimax solution is constructed over some restricted Sobolev classes. The solution is a specialized kernel-type estimator with boundary correction. For the first time for this problem, non-parametric, asymptotic confidence bands for the unfolded function are constructed. Automatic bandwidth selection procedures based on empirical risk minimization are proposed. It is shown that a version of the Goldenshluger-Lepski procedure of bandwidth selection ensures adaptivity of the estimators to the unknown smoothness. The performance of the procedures is demonstrated in a Monte Carlo experiment.

Pertenece a

Project Euclid (Hosted at Cornell University Library)  

Autor(es)

Ćmiel, Bogdan -  Szkutnik, Zbigniew -  Wojdyła, Jakub - 

Id.: 70979750

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveSpektor -  Lord -  Willis problem - 

Tipo de recurso: Text  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Copyright 2018 The Institute of Mathematical Statistics and the Bernoulli Society

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] 1935-7524

Fecha de contribución: 20-may-2018

Contacto:

Localización:
* Electron. J. Statist. 12, no. 1 (2018), 194-223
* doi:10.1214/18-EJS1391

Otros recursos de la mismacolección

  1. Dimension reduction-based significance testing in nonparametric regression A dimension reduction-based adaptive-to-model test is proposed for significance of a subset of covar...
  2. High-dimensional robust precision matrix estimation: Cellwise corruption under $\epsilon $-contamination We analyze the statistical consistency of robust estimators for precision matrices in high dimension...
  3. A two stage $k$-monotone B-spline regression estimator: Uniform Lipschitz property and optimal convergence rate This paper considers $k$-monotone estimation and the related asymptotic performance analysis over a ...
  4. Uniformly valid confidence sets based on the Lasso In a linear regression model of fixed dimension $p\leq n$, we construct confidence regions for the u...
  5. Bayesian nonparametric estimation of survival functions with multiple-samples information In many real problems, dependence structures more general than exchangeability are required. For ins...

Aviso de cookies: Usamos cookies propias y de terceros para mejorar nuestros servicios, para análisis estadístico y para mostrarle publicidad. Si continua navegando consideramos que acepta su uso en los términos establecidos en la Política de cookies.