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Original Articles

Attainments of the Bayesian information bounds

Pages 2696-2709 | Received 27 Feb 2019, Accepted 30 Sep 2019, Published online: 17 Oct 2019

References

  • Abu-Shanab, R., and A. Y. Veretennikov. 2015. On asymptotic Borovkov-Sakhanenko inequality with unbounded parameter set. Theory of Probability and Mathematical Statistics 90:1–12. doi:10.1090/tpms/945.
  • Borovkov, A. A. 1998. Mathematical statistics. New York, NY: Gordon and Breach.
  • Borovkov, A. A., and A. U. Sakhanenko. 1980. On estimates of the expected quadratic risk (in Russian). Probability and Mathematical Statistics 1:185–95.
  • Brown, L. D., and L. Gajek. 1990. Information inequalities for the Bayes risk. The Annals of Statistics 18 (4):1578–94. doi:10.1214/aos/1176347867.
  • Hashimoto, S., and K. Koike. 2015. Bhattacharyya type information inequality for the Bayes risk. Communications in Statistics - Theory and Methods 44 (24):5213–24. doi:10.1080/03610926.2013.810265.
  • Johnson, N. L., S. Kotz, and N. Balakrishnan. 1995. Continuous univariate distributions, 2nd ed., vol. 2. New York, NY: Wiley.
  • Koike, K. 2006. An integral Bhattacharyya type bound for the Bayes risk. Communications in Statistics - Theory and Methods 35 (12):2185–95. doi:10.1080/03610920600854496.
  • Sato, M., and M. Akahira. 1996. An information inequality for the Bayes risk. The Annals of Statistics 24:2288–95. doi:10.1214/aos/1069362323.
  • Targhetta, M. L. 1988. On the attainment of a lower bound for the Bayes risk in estimating a parametric function. Statistics 19 (2):233–9. doi:10.1080/02331888808802093.
  • van Trees, H. L. 1968. Detection, estimation, and modulation theory, part I. New York, NY: Wiley.

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