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On maximum likelihood estimation for log-linear models with non-ignorable non-response

On maximum likelihood estimation for log-linear models with non-ignorable non-response
On maximum likelihood estimation for log-linear models with non-ignorable non-response
Non-response boundary solutions occur in log-linear models with non-ignorable non-response. We prove existence and uniqueness of maximum likelihood estimates under weak conditions, and their consistency and asymptotic normality. This contrasts with findings for boundary solutions in log-linear models for sparse tables.
boundary solutions, categorical data, consistency, informative non-response, normal approximation
0167-7152
441-448
Clarke, Paul S.
7f5256f9-da31-4af8-8c93-ebb6cdb0037e
Smith, Peter W.F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
Clarke, Paul S.
7f5256f9-da31-4af8-8c93-ebb6cdb0037e
Smith, Peter W.F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940

Clarke, Paul S. and Smith, Peter W.F. (2005) On maximum likelihood estimation for log-linear models with non-ignorable non-response. Statistics and Probability Letters, 73 (4), 441-448. (doi:10.1016/j.spl.2005.04.019).

Record type: Article

Abstract

Non-response boundary solutions occur in log-linear models with non-ignorable non-response. We prove existence and uniqueness of maximum likelihood estimates under weak conditions, and their consistency and asymptotic normality. This contrasts with findings for boundary solutions in log-linear models for sparse tables.

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More information

Published date: 2005
Keywords: boundary solutions, categorical data, consistency, informative non-response, normal approximation
Organisations: Social Statistics

Identifiers

Local EPrints ID: 34769
URI: http://eprints.soton.ac.uk/id/eprint/34769
DOI: doi:10.1016/j.spl.2005.04.019
ISSN: 0167-7152
PURE UUID: dc67c9f5-d40f-453c-84bb-51ecc8a75cd8
ORCID for Peter W.F. Smith: ORCID iD orcid.org/0000-0003-4423-5410

Catalogue record

Date deposited: 16 May 2006
Last modified: 16 Mar 2024 02:42

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Contributors

Author: Paul S. Clarke
Author: Peter W.F. Smith ORCID iD

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