Since the situation described can be viewed as a matter of interval censoring, UCLA's Institute for Digital Research and Education statistics resources suggest using PROC LIFEREG. http://stats.idre.ucla.edu/sas/dae/interval-regression/ The original suggestion can be found on page 145-146 of one of that article's citations: Long, J. S. 1997. Regression Models for Categorical and Limited Dependent Variables. Thousand Oaks, CA: Sage Publications.
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