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Bootstrap based model checks with missing binary response data

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  • Dikta, Gerhard
  • Subramanian, Sundarraman
  • Winkler, Thorsten

Abstract

Dikta, Kvesic, and Schmidt proposed a model-based resampling scheme to approximate critical values of tests for model checking involving binary response data. Their approach is inapplicable when the binary response variable is not always observed, however. We propose a missingness adjusted marked empirical process under the framework that the missing binary responses are missing at random. We introduce a resampling scheme for the bootstrap and prove its asymptotic validity. We present some numerical comparisons and illustrate our methodology using a real data set.

Suggested Citation

  • Dikta, Gerhard & Subramanian, Sundarraman & Winkler, Thorsten, 2013. "Bootstrap based model checks with missing binary response data," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 219-226.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:219-226
    DOI: 10.1016/j.spl.2012.09.014
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    References listed on IDEAS

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    1. Koul, Hira L. & Yi, Tingting, 2006. "Goodness-of-fit testing in interval censoring case 1," Statistics & Probability Letters, Elsevier, vol. 76(7), pages 709-718, April.
    2. Dikta, Gerhard & Kvesic, Marsel & Schmidt, Christian, 2006. "Bootstrap Approximations in Model Checks for Binary Data," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 521-530, June.
    3. W. Stute, 1992. "Strong consistency of the MLE under random censoring," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 39(1), pages 257-267, December.
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    Cited by:

    1. Jacobo Uña-Álvarez, 2013. "Comments on: An updated review of Goodness-of-Fit tests for regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 414-418, September.

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