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On Wieand's theorem

Author

Listed:
  • Kallenberg, Wilbert C. M.
  • Koning, Alex J.

Abstract

Wieand's theorem on equivalence of limiting approximate Bahadur efficiency and limiting Pitman efficiency is extended in several ways. Conditions on monotonicity and continuity are obviated, composite null hypotheses are incorporated, and the implications of a weaker form of Wieand's Condition III* are investigated.

Suggested Citation

  • Kallenberg, Wilbert C. M. & Koning, Alex J., 1995. "On Wieand's theorem," Statistics & Probability Letters, Elsevier, vol. 25(2), pages 121-132, November.
  • Handle: RePEc:eee:stapro:v:25:y:1995:i:2:p:121-132
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    Citations

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    Cited by:

    1. Koning, A.J. & Protassov, V., 2001. "Tail behaviour of Gaussian processes with applications to the Brownian pillow," Econometric Institute Research Papers EI 2001-49, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Withers, Christopher S. & Nadarajah, Saralees, 2013. "Bayesian efficiency," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1203-1212.
    3. Koning, A.J., 1999. "Goodness of fit for the constancy of a classical statistical model over time," Econometric Institute Research Papers EI 9959-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Koning, Alex J. & Protasov, Vladimir, 2003. "Tail behaviour of Gaussian processes with applications to the Brownian pillow," Journal of Multivariate Analysis, Elsevier, vol. 87(2), pages 370-397, November.
    5. Koning, A.J. & Hjort, N.L., 2002. "Constancy of distributions: asymptotic efficiency of certain nonparametric tests of constancy," Econometric Institute Research Papers EI 2002-33, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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