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December 2018 Nonparametric covariate-adjusted response-adaptive design based on a functional urn model
Giacomo Aletti, Andrea Ghiglietti, William F. Rosenberger
Ann. Statist. 46(6B): 3838-3866 (December 2018). DOI: 10.1214/17-AOS1677

Abstract

In this paper, we propose a general class of covariate-adjusted response-adaptive (CARA) designs based on a new functional urn model. We prove strong consistency concerning the functional urn proportion and the proportion of subjects assigned to the treatment groups, in the whole study and for each covariate profile, allowing the distribution of the responses conditioned on covariates to be estimated nonparametrically. In addition, we establish joint central limit theorems for the above quantities and the sufficient statistics of features of interest, which allow to construct procedures to make inference on the conditional response distributions. These results are then applied to typical situations concerning Gaussian and binary responses.

Citation

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Giacomo Aletti. Andrea Ghiglietti. William F. Rosenberger. "Nonparametric covariate-adjusted response-adaptive design based on a functional urn model." Ann. Statist. 46 (6B) 3838 - 3866, December 2018. https://doi.org/10.1214/17-AOS1677

Information

Received: 1 June 2017; Revised: 1 November 2017; Published: December 2018
First available in Project Euclid: 11 September 2018

zbMATH: 1410.62158
MathSciNet: MR3852670
Digital Object Identifier: 10.1214/17-AOS1677

Subjects:
Primary: 60F05, 62E20, 62L05, 62L20
Secondary: 62F12, 62P10

Rights: Copyright © 2018 Institute of Mathematical Statistics

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Vol.46 • No. 6B • December 2018
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