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Individualized treatment rules under stochastic treatment cost constraints

Qiu Hongxiang (), Carone Marco () and Luedtke Alex ()
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Qiu Hongxiang: Department of Statistics, the Wharton School, University of Pennsylvania, Philadelphia, PA 19104, United States
Carone Marco: Department of Biostatistics, University of Washington, Seattle, Washington, United States
Luedtke Alex: Department of Statistics, University of Washington, Seattle, Washington, United States

Journal of Causal Inference, 2022, vol. 10, issue 1, 480-493

Abstract: Estimation and evaluation of individualized treatment rules have been studied extensively, but real-world treatment resource constraints have received limited attention in existing methods. We investigate a setting in which treatment is intervened upon based on covariates to optimize the mean counterfactual outcome under treatment cost constraints when the treatment cost is random. In a particularly interesting special case, an instrumental variable corresponding to encouragement to treatment is intervened upon with constraints on the proportion receiving treatment. For such settings, we first develop a method to estimate optimal individualized treatment rules. We further construct an asymptotically efficient plug-in estimator of the corresponding average treatment effect relative to a given reference rule.

Keywords: nonparametric inference; average treatment effect; dynamic treatment regime (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:bpj:causin:v:10:y:2022:i:1:p:480-493:n:1

DOI: 10.1515/jci-2022-0005

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