On the existence and uniqueness of the NPMLE in biased sampling models

被引：6

作者：

Davidov, Ori ^{[1
]}

Iliopoulos, George ^{[2
]}

机构：

[1] Univ Haifa, Dept Stat, IL-31905 Haifa, Israel

[2] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus 18534, Greece

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2009年 / 139卷 / 02期

关键词：

Biased sampling; Non-parametric maximum likelihood; Semi-parametric models; EMPIRICAL DISTRIBUTIONS;

D O I：

10.1016/j.jspi.2008.04.015

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：

Identifiability, existence and uniqueness of the non-parametric maximum likelihood estimator (NPMLE) in biased sampling models are thoroughly investigated. The conditions for existence and uniqueness are considered from a different perspective and proofs are simplified. An extension to semi-parametric models is provided. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：176 / 183

页数：8

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