Moher, Michael L.2009-03-202009-03-2019891989Source: Masters Abstracts International, Volume: 31-01, page: 0323.9780315680418http://hdl.handle.net/10393/5929http://dx.doi.org/10.20381/ruor-11001The product-limit estimator is shown to be a strongly uniformly consistent estimator of the distribution function of a renewal process which started long before the commencement of observation. This product-limit estimator is based on the censored data obtained from independent realizations of such a process in one of two scenarios: one observation per renewal process, and multiple observations per renewal process. In the former scenario a lower bound on the rate of convergence is obtained.58 p.Mathematics.Thesis