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Sequential Analysis
Design Methods and Applications
Volume 18, 1999 - Issue 3-4
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Original Articles

Quasi-stationary biases of change point and change magnitude estimation after sequential cusum test

Biases of change point

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Pages 203-216 | Published online: 29 Mar 2007

References

  • Hinkley , D.V . 1971 . Inference about the change point from cumulative sum tests . Biometrika , 58 : 509 – 523 .
  • Page , E.S . 1954 . Continuous inspection schemes . Biometrika , 41 : 100 – 114 .
  • Pollak , M and Siegmund , D . 1985 . A diffusion process and its application to detecting a change in the drift of a Brownian motion . Biometrika , 72 : 267 – 180 .
  • Pollak , M and Siegmund , D . 1986 . Convergence of quasi-stationary to stationary distribution for stochastic markov processes . Journal of applied probability , 23 : 267 – 280 .
  • Siegmund , D . 1985 . “ Sequential analysis ” . In Tests and confidence intervals , Berlin : Springer .
  • Srivastava , M.S and Wu , Y . 1993 . Comparision of EWMA CUSUM and shiryayev-Roberts procedures for detecting a shift in the mean . Annals of statistics , 21 : 645 – 670 .

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