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The weighting method is described in

Kubota K, Kelly TL, Sato T, Pratt N, Roughead E, Yamaguchi T. A novel weighting method to remove bias from within-subject exposure dependency in case-crossover studies.BMC Med Res Methodol 2021; 21:214

Upcoming article describing methods to reduce bias due to chronic exposure with and without switching:

Kubota K, Kelly TL. Bias due to within-subject exposure dependency with or without bias due to lack of pairwise exchangeability when exposure is chronic in case-crossover and case-time-control studies: A simulation study. Am J. Epidem., in press.