Asymptotic normality of maximum likelihood estimators from multiparameter response-driven designs

Estimation and inference for dependent trials are important issues in response-adaptive allocation designs; maximum likelihood estimation is one route of interest. We present three noval response-driven designs and derive their maximum likelihood estimators. We also provide convenient regularity conditions that ensure the maximum likelihood estimator from a multiparameter stochastic process exists and is asymptotically multivariate normal. While these conditions may not be the most general, they are easily verified for our applications.