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Original Articles

Comparison of pivotals for confidence bounds and intervals for the mean of a stationary time series

Pages 18-27 | Received 09 Jul 2016, Accepted 18 Feb 2017, Published online: 06 Sep 2017

References

  • Box, G. E. P., and G. M. Jenkins. 1976. Time series analysis forecasting and control. Oakland: Holden-Day.
  • Bühlmann, P., and H. R. Künsch. 1999. Block length selection in the bootstrap for time series. Computational Statistics & Data Analysis 31:295–310.
  • Cook, R. J., V. P. Godambe, and M. E. Thompson. 2002. Semi-parametric confidence intervals based on estimating functions. Communications in Statistics - Theory and Methods 31:1701–8.
  • Davison, A. C., and P. Hall. 1993. On studentizing and blocking methods for implementing the bootstrap with dependent data. Australian Journal of Statistics 35:215–24.
  • Doukhan, P. 1994. Mixing: properties and examples Lecture notes in Statistics 85. New York: Springer-Verlag.
  • Gluhovsky, A., Z. Zihlbauer, and D. N. Politis. 2005. Subsampling confidence intervals for parameters of atmospheric time series: block size choice and calibration. Journal of Statistical Computation and Simulation 75:381–9.
  • Godambe, V. P. 1985. The foundations of finite sample estimation in stochastic processes. Biometrika 72:419–28.
  • Götze, F., and H. R. Künsch. 1996. Second-order correctness of block based bootstrap for stationary observations. Annals of Statistics 24:1914–33.
  • Hall, P. 1992. The bootstrap and the Edgeworth expansion. New York: Springer.
  • Hall, P., J. L. Horowitz, and B. Jing. 1995. On the blocking rules for the bootstrap with dependent data. Biometrika 82:561–74.
  • Hall, P., and B. Jing. 1996. On sample reuse methods for dependent data. Journal of the Royal Statistical Society: Series B 58:727–37.
  • Künsch, H. R. 1989. The jackknife and the bootstrap for general stationary observations. Annals of Statistics 17:1217–41.
  • Lahiri, S. N. 2003. Resampling methods for dependent data. New York: Springer.
  • Lahiri, S. N. 2010. Edgeworth expansion for studentized statistics under weak dependence. Annals of Statistics 38:388–434.
  • Liu, R. Y., and K. Singh. 1992. Moving blocks jackknife and bootstrap capture weak dependence. In Exploring the limits of bootstrap, ed. R. LePage and L. Billard, 225–48. New York: Wiley.
  • Polansky, A. M. 1999. Upper bounds on the true coverage of bootstrap percentile type confidence intervals. American Statistician 53:269–362.
  • Politis, D. N., and J. P. Romano. 1994. The stationary bootstrap. Journal of the American Statistical Association 89:1303–13.
  • Sun, S., and S. N. Lahiri. 2006. Bootstrapping the sample quantile of a weakly dependent sequence. Sankhya 68:130–66.
  • Tjøstheim, D. 1994. Non-linear time series: a selective review. Scandinavian Journal of Statistics 21:97–130.

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