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

Ori Davidov, George Iliopoulos

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)176-183
Number of pages8
JournalJournal of Statistical Planning and Inference
Volume139
Issue number2
DOIs
StatePublished - 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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