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

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  • Clarke, Paul S.
  • Smith, Peter W.F.

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.

Suggested Citation

  • Clarke, Paul S. & Smith, Peter W.F., 2005. "On maximum likelihood estimation for log-linear models with non-ignorable non-response," Statistics & Probability Letters, Elsevier, vol. 73(4), pages 441-448, July.
    • Handle: RePEc:eee:stapro:v:73:y:2005:i:4:p:441-448
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    References listed on IDEAS

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    1. P. W. F. Smith & C. J. Skinner & P. S. Clarke, 1999. "Allowing for non‐ignorable non‐response in the analysis of voting intention data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 48(4), pages 563-577.
    2. Paul S. Clarke & Peter W. F. Smith, 2004. "Interval estimation for log‐linear models with one variable subject to non‐ignorable non‐response," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(2), pages 357-368, May.
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    Cited by:

    1. Park, Yousung & Kim, Daeyoung & Kim, Seongyong, 2014. "Identification of the occurrence of boundary solutions in a contingency table with nonignorable nonresponse," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 34-40.
    2. Kim, Seongyong & Park, Yousung & Kim, Daeyoung, 2015. "On missing-at-random mechanism in two-way incomplete contingency tables," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 196-203.
    3. Ghosh, S. & Vellaisamy, P., 2016. "On the occurrence of boundary solutions in multidimensional incomplete tables," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 63-75.

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