The NPMLE in a class of doubly censored current status data models with application to AIDS partner studies
نویسنده
چکیده
The California Partners’ Study is an ongoing investigation of heterosexual HIVtransmission in partners of infected index cases (Padian, et al., 1987; Shiboski & Jewell, 1990). In addition to the HIV-status of the partner at the recruiting time one also observes the initial time of the partnership and a lower bound for the infection time of the index case. Following Jewell, Malani & Vittinghoff (1994) we assume that the infection time of the index case is uniformly distributed over the interval defined by the lower bound and the recruiting time, but no further assumptions are made. We consider an NPMLE of the distribution of the time T the partner is exposed to an infected index partner till infection. We show that the model is a doubly censored current status data model as introduced in Jewell, Malani & Vittinghoff (1994) with a special known distribution of the origin. We provide a modified Iterative Weighted
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