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Statistics
A Journal of Theoretical and Applied Statistics
Volume 55, 2021 - Issue 3
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Research Article

Bayesian bootstrapping for symmetric distributions

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Pages 711-732 | Received 28 Jun 2020, Accepted 12 Jul 2021, Published online: 09 Aug 2021

References

  • Ferguson TS. A Bayesian analysis of some nonparametric problems. Ann Stat. 1973;1(2):209–230.
  • Antoniak CE. Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems. Ann Stat. 1974;2(6):1152–1174.
  • Neal RM, Bayesian mixture modeling. In: Maximum entropy and bayesian methods. New York: Springer; 1992. p. 197–211
  • Lo AY. On a class of Bayesian nonparametric estimates: I density estimates. Ann Stat. 1984;12(1):351–357.
  • Escobar MD, West M. Bayesian density estimation and inference using mixtures. J Amer Statist Assoc. 1995;90(430):577–588.
  • Dalal S. Dirichlet invariant processes and applications to nonparametric estimation of symmetric distribution functions. Stoch Process Theor Appl. 1979;9(1):99–107.
  • Wesler O. Invariance theory and a modified minimax principle. Ann Math Stat. 1959;00:1–20.
  • Yamato H. Bayes estimates of estimable parameters with a Direchlet invariant process. Commun Stat Theory Methods. 1986;15(8):2383–2390.
  • Yamato H. Nonparametric Bayes estimates of estimable parameters with a Dirichlet invariant process and invariant u-statistics. Commun Stat Theory Methods. 1987;16(2):525–543.
  • LePage R, Bootstrapping signs. In: LePage R, Billard L, editors. Exploring the limits of bootstrap. New York: John Wiley & Sons; 1992. p. 215–224.
  • Rubin DB. The Bayesian bootstrap. Ann Stat. 1981;9(1):130–134.
  • Lo AY. A large sample study of the Bayesian bootstrap. Ann Stat. 1987;15(1):360–375.
  • Muliere P, Secchi P. Bayesian nonparametric predictive inference and bootstrap techniques. Ann Inst Stat Math. 1996;48(4):663–673.
  • Ishwaran H, James LF, Zarepour M. An alternative to the m out of n bootstrap. J Stat Plan Inference. 2009;139(3):788–801.
  • Efron B, Bootstrap methods: another look at the jackknife. In: Breakthroughs in statistics. Springer; 1992. p. 569–593.
  • Macdonald D, Ball F, Hough N, The evaluation of home range size and configuration using radio tracking data. In: A handbook on biotelemetry and radio tracking. Elsevier; 1980. p. 405–424.
  • Bickel PJ, Wichura MJ. Convergence criteria for multiparameter stochastic processes and some applications. Ann Math Stat. 1971;42(5):1656–1670.
  • Billingsley P. Convergence of probability measures. New York: John Wiley & Sons; 2013.
  • Zarepour M, Al Labadi L. On a rapid simulation of the Dirichlet process. Statist Probab Lett. 2012;82(5):916–924.

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