Bootstrap based model checks with missing binary response data

Gerhard Dikta, Sundarraman Subramanian and Thorsten Winkler

Statistics & Probability Letters, 2013, vol. 83, issue 1, 219-226

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.

Keywords: Covariance function; Functional central limit theorem; Maximum likelihood estimator; Continuous mapping theorem; Wild bootstrap (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2012.09.014

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