Successful management of HIV is underpinned by suppression of circulating virus in infected individuals. Current treatment regimens have the ability to suppress viral load to levels undetectable by assay measurement, sometimes for many years, but frequently periods of aviremia are interspersed with intervals when viral load again reaches detectable levels. In this study of patients on long-term therapy we aim to estimate and compare distributions of aviremic periods overlapping fixed time points in their treatment history. As not all individuals are followed through to completion of their spell of aviremia we need to take account of the censoring, but note that assumptions underlying standard survival techniques may not be valid due to correlations between the censoring and observed duration times induced by the sampling scheme. We therefore adopt a convolution-based approach to minimize potential biases
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