Convex minorant estimators of distributions in non-parametric deconvolution problems

被引：0

作者：

VanEs, AJ ^{[1
]}

VanZuijlen, MCA ^{[1
]}

机构：

[1] KATHOLIEKE UNIV LEUVEN,NIJMEGEN,NETHERLANDS

来源：

SCANDINAVIAN JOURNAL OF STATISTICS | 1996年 / 23卷 / 01期

关键词：

non-parametric deconvolution; convex minorant estimators; cube root asymptotics;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider the problem of estimating an unknown distribution function F with bounded support, in a situation where we have observations from the convolution of F with the uniform (0, 1) distribution. The proposed estimators are based on convex minorants. With the aid of martingale methods their pointwise (non-normal) limiting distribution is derived.

引用

页码：85 / 104

页数：20

共 50 条

[1] ASYMPTOTIC DISTRIBUTIONS OF SLOPE-OF-GREATEST-CONVEX-MINORANT ESTIMATORS
LEURGANS, S
[J]. ANNALS OF STATISTICS, 1982, 10 (01): : 287 - 296
[2] Non-Parametric Regression and Riesz Estimators
Kountzakis, Christos
Tsachouridou-Papadatou, Vasileia
[J]. AXIOMS, 2023, 12 (04)
[3] Non-parametric bounds for non-convex preferences
Halevy, Yoram
Persitz, Dotan
Zrill, Lanny
[J]. JOURNAL OF ECONOMIC BEHAVIOR & ORGANIZATION, 2017, 137 : 105 - 112
[4] Non-parametric Discrete Registration with Convex Optimisation
Heinrich, Mattias P.
Papiez, Bartlomiej W.
Schnabel, Julia A.
Handels, Heinz
[J]. BIOMEDICAL IMAGE REGISTRATION (WBIR 2014), 2014, 8545 : 51 - 61
[5] Non-parametric confidence bands in deconvolution density estimation
Bissantz, Nicolai
Dumbgen, Lutz
Holzmann, Hajo
Munk, Axel
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2007, 69 : 483 - 506
[6] Generalized Non-Parametric Deconvolution with an Application to Earnings Dynamics
Bonhomme, Stephane
Robin, Jean-Marc
[J]. REVIEW OF ECONOMIC STUDIES, 2010, 77 (02): : 491 - 533
[7] Non-parametric estimators of multivariate extreme dependence functions
Abdous, B
Ghoudi, K
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 2005, 17 (08) : 915 - 935
[8] A comparison of non-parametric spectral estimators for SAR imaging
Yildirim, I
Tezel, NS
Erer, I
Yazgan, B
[J]. RAST 2003: RECENT ADVANCES IN SPACE TECHNOLOGIES, PROCEEDINGS, 2003, : 369 - 374
[9] Non-parametric maximum likelihood estimators for disease mapping
Biggeri, A
Marchi, M
Lagazio, C
Martuzzi, M
Böhning, D
[J]. STATISTICS IN MEDICINE, 2000, 19 (17-18) : 2539 - 2554
[10] Simple non-parametric estimators for unemployment duration analysis
Wichert, Laura
Wilke, Ralf A.
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2008, 57 : 117 - 126

← 1 2 3 4 5 →