Cross-sectional HIV incidence estimation leverages recency test results to determine the HIV incidence of a population of interest, where recency test uses biomarker profiles to infer whether an HIV-positive individual was "recently" infected. This approach possesses an obvious advantage over the conventional cohort follow-up method since it avoids longitudinal follow-up and repeated HIV testing. In this manuscript, we consider the extension of cross-sectional incidence estimation to estimate the incidence of a different target population addressing potential population heterogeneity. We propose a general framework that incorporates two settings: one with the target population that is a subset of the population with cross-sectional recency testing data, e.g., leveraging recency testing data from screening in active-arm trial design, and the other with an external target population. We also propose a method to incorporate HIV subtype, a special covariate that modifies the properties of recency test, into our framework. Through extensive simulation studies and a data application, we demonstrate the excellent performance of the proposed methods. We conclude with a discussion of sensitivity analysis and future work to improve our framework.
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