Causal inference on distribution functions

نویسندگان

چکیده

Abstract Understanding causal relationships is one of the most important goals modern science. So far, inference literature has focused almost exclusively on outcomes coming from Euclidean space Rp. However, it increasingly common that complex datasets are best summarized as data points in nonlinear spaces. In this paper, we present a novel framework effects for Wasserstein cumulative distribution functions, which contrast to space, nonlinear. We develop doubly robust estimators and associated asymptotic theory these effects. As an illustration, use our quantify effect marriage physical activity patterns using wearable device collected through National Health Nutrition Examination Survey.

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ژورنال

عنوان ژورنال: Journal of The Royal Statistical Society Series B-statistical Methodology

سال: 2023

ISSN: ['1467-9868', '1369-7412']

DOI: https://doi.org/10.1093/jrsssb/qkad008