Strong Approximations of Martingale Vectors and Their Applications in Markov-Chain Adaptive Designs

نویسندگان

  • Li-xin Zhang
  • L. X. Zhang
چکیده

The strong approximations of a class of R-valued martingales are considered. The conditions used in this paper are easier to check than those used in [3] and [9]. As an application, the strong approximation of a class of non-homogenous Markov chains is established, and the asymptotic properties are established for the multi-treatment Markov chain adaptive designs in clinical trials.

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تاریخ انتشار 2004