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Original Articles

Locally optimal invariant tests for change in level

Pages 869-878 | Published online: 27 Jun 2007

References

  • Chernoff , H. and Zacks , S. 1964 . Estimating the current mean of a normal distribution which is subjected to changes in time . Ann. Math. Statist , 35 : 999 – 1018 .
  • Ferguson , T. S. 1967 . “ Mathematical Statistics ” . In A Decision Theoretic Approach , New York : Academic Press .
  • Gardner , L. A. Jr . 1969 . On detecting changes in the mean of normal variates . Ann. Math. Statist , 40 : 116 – 126 .
  • Hawkins , D. M. 1977 . Testing a sequence of observations for shift in location . J. Amer. Statist. Assoc , 72 : 180 – 186 .
  • Kander , Z. and Zacks , S. 1966 . Test procedures for possible changes in parameters of statistical distributions occurring at unknown time points . Ann. Math. Statist , 37 : 1196 – 1210 .
  • Kariya , T. 1985 . “ Testing in the multivariate general linear model ” . In Economic Research Series No. 22 , Kunitach , , Japan : The Institute of Economic Research, Hitotsubashi University . 186. Kinokuniya Company Ltd., Tokyo
  • Krishnaiah , P. R. and Miao , B. Q. Review about estimation of change point . Tech. Rep . pp. 87 – 48 . Pittsburgh : Center for Multivariate Analysis University of Pittsburgh .
  • Nagaraj , N. K. 1989 . Two sided tests for change in level for correlated data , submitted for publication .
  • Page , E. S. 1954 . Continuous inspection schemes . Biometrika , 41 : 100 – 115 .
  • Sen , A. and Srivastava , M. S. 1975a . On tests for detecting change in mean . Ann. Statist , 3 : 98 – 108 .
  • Sen , A. and Srivastava , M. S. 1975b . On tests for detecting change in mean when variance is unknown . Ann. Inst. Statist. Math , 27 : 479 – 486 .
  • Srivastava , M. S. 1975c . Some one-sided tests for change in level . Technometrics , 17 : 61 – 64 .
  • Siegmund , D. 1986 . Boundary crossing probabilities and statistical applications . Ann. Statist , 14 : 361 – 404 .
  • Wijsman , R. A. 1967 . Cross-sections of orbits and their applications to densities of maximal invariants. Proc. 5th Berk . Symp. Math. Statist. Prob , 1 : 389 – 400 . Univ. of California, Berkeley
  • Yao , Y. and Davis , R. A. 1986 . The asymptotic behavior of the likelihood ratio statistic for testing a shift in mean in a sequence of independent normal variates . Sankhya A , 48 : 339 – 353 .

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