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Kenneth G. Manton, Eric Stallard, Max A. Woodbury, H. Dennis Tolley, Anatoli I. Yashin, Grade-of-Membership Techniques for Studying Complex Event History Processes with Unobserved Covariates, Sociological Methodology, Vol. 17 (1987), pp. 309-346
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Mantón et al. (1987) studied this question.
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