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

Ori Davidov; George Iliopoulos

doi:10.1016/j.jspi.2008.04.015

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

Ori Davidov
, George Iliopoulos

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	176-183
Number of pages	8
Journal	Journal of Statistical Planning and Inference
Volume	139
Issue number	2
DOIs	https://doi.org/10.1016/j.jspi.2008.04.015
State	Published - 1 Feb 2009

Keywords

Biased sampling
Non-parametric maximum likelihood
Semi-parametric models

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/j.jspi.2008.04.015

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title = "On the existence and uniqueness of the NPMLE in biased sampling models",

abstract = "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.",

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AU - Iliopoulos, George

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AB - 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.

KW - Biased sampling

KW - Non-parametric maximum likelihood

KW - Semi-parametric models

UR - https://www.scopus.com/pages/publications/55149085233

U2 - 10.1016/j.jspi.2008.04.015

DO - 10.1016/j.jspi.2008.04.015

M3 - Article

AN - SCOPUS:55149085233

SN - 0378-3758

VL - 139

SP - 176

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JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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