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Title of Journal: Stat Comput

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Abbravation: Statistics and Computing

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Springer US

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10.1007/s10592-015-0808-z

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1573-1375

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Nonparametric maximum likelihood estimation of in

Authors: Andrew C Titman
Publish Date: 2016/09/29
Volume: 27, Issue: 6, Pages: 1585-1593
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Abstract

The paper considers nonparametric maximum likelihood estimation of the failure time distribution for intervalcensored data subject to misclassification Such data can arise from two types of observation scheme either where observations continue until the first positive test result or where tests continue regardless of the test results In the former case the misclassification probabilities must be known whereas in the latter case joint estimation of the eventtime distribution and misclassification probabilities is possible The regions for which the maximum likelihood estimate can only have support are derived Algorithms for computing the maximum likelihood estimate are investigated and it is shown that algorithms appropriate for computing nonparametric mixing distributions perform better than an iterative convex minorant algorithm in terms of time to absolute convergence A profile likelihood approach is proposed for joint estimation The methods are illustrated on a data set relating to the onset of cardiac allograft vasculopathy in posthearttransplantation patients


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