Probability Theory and Related Fields

, Volume 73, Issue 4, pp 529–538 | Cite as

Adaptive tests in statistical problems with finite nuisance parameter

  • Andrew L. Rukhin
Article
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Keywords

Stochastic Process Probability Theory Statistical Problem Mathematical Biology Nuisance Parameter 
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References

  1. Bahadur, R.R.: Stochastic comparison of tests. Ann. Math. Stat. 31, 276–295 (1960)MATHMathSciNetGoogle Scholar
  2. Bahadur, R.R.: Some limit theorems in statistics. Regional Conference Series in Applied Mathematics. Society for Industrial and Applied Mathematics, Philadelphia 1971Google Scholar
  3. Brown, L.D.: Non-local asymptotic optimality of appropriate likelihood ratio tests. Ann. Math. Stat. 42, 1206–1240 (1971)MATHGoogle Scholar
  4. Chernoff, H.: Large sample theory-parametric case. Ann. Math. Stat. 27, 1–22 (1956)MATHMathSciNetGoogle Scholar
  5. Greoneboom, P., Oosterhoff, J., Ruymgaart, F.H.: Large deviation theorems for empirical probability measures. Ann. Probab. 7, 553–586 (1979)MathSciNetGoogle Scholar
  6. Hoeffding, W.: Asymptotically optimal tests for multinomial distributions. Ann. Math. Stat. 36, 369–401 (1965)MATHMathSciNetGoogle Scholar
  7. Rukhin, A.: Adaptive procedures in multiple decision problems and hypothesis testing. Ann. Stat. 10, 1148–1162 (1982)MATHMathSciNetGoogle Scholar
  8. Tusnady, G.: On asymptotically optimal tests. Ann. Stat. 5, 385–393 (1977)MATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Andrew L. Rukhin
    • 1
  1. 1.Department of StatisticsPurdue UniversityWest LafayetteUSA

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