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On the occurrence of boundary solutions in multidimensional incomplete tables

Author

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  • Ghosh, S.
  • Vellaisamy, P.

Abstract

We provide sufficient conditions for the occurrence of boundary solutions under nonignorable nonresponse models in arbitrary three-way and n-dimensional incomplete tables with one or more variables missing. These conditions involve only the observed counts, and avoid solving likelihood equations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:119:y:2016:i:c:p:63-75
    DOI: 10.1016/j.spl.2016.07.011
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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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