A discrete model for bootstrap iteration

作者:Davidson Russell*
来源:Journal of Econometrics, 2017, 201(2): 228-236.
DOI:10.1016/j.jeconom.2017.08.005

摘要

The bootstrap can be validated by considering the sequence of P values obtained by bootstrap iteration, rather than asymptotically. If this sequence converges to a random variable with the uniform U(0, 1) distribution, the bootstrap is valid. Here, the model is made discrete and finite, characterised by a three-dimensional array of probabilities. This renders bootstrap iteration to any desired order feasible. A unit root test for a process driven by a stationary MA(1) process is known to be unreliable when the MA(1) parameter is near -1. Iteration of the bootstrap P value to convergence achieves reliable inference unless the parameter value is very close to -1.

  • 出版日期2017-12
  • 单位McGill