Community clinic referral escalation policies must decide which patients to send onward when patient acuity is only partially observed and drifts over time. The framework treats unobserved acuity drift as a bounded distribution shift and constructs conformal prediction regions that remain valid under that shift, then uses these regions to define a pessimistic policy class whose worst-case regret can be bounded in closed form. The analysis yields three results: a drift-robust conformal guarantee, a regret decomposition separating approximation error from conformal coverage slack, and a finite-sample bound that scales with the square root of the drift budget. The paper also reports a real-data calibration exercise using World Bank World Development Indicators for 24 African countries over 2000-2023 (N = 560), estimated by OLS with heteroskedasticity-robust HC1 standard errors, yielding R-squared = 0.591, adjusted R-squared = 0.5895, F = 184.764 (p = 2.82e-62), with coefficients for access to electricity (1291.55405, SE 194.35159), urban population (113.13952, SE 7.77493) and a linear year term (-104.41834, SE 11.31314). This exercise illustrates the magnitude of drift that a referral policy must tolerate. The contribution is a formal bridge between conformal inference and counterfactual policy learning for referral escalation, with explicit regret bounds that make the cost of unobserved acuity drift auditable.
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Ba et al. (2026) studied this question.
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