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Detection of Change in Variance

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Asymptotic Statistics

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

Overview of methods for the detection of change in variance based on the maximum likelihood and quasibayesian approaches is given. Paper provides critical values for maximum of log-likelihood ratios calculated from Bonferroni and Worsley inequalities. The same critical are also estimated using a Monte Carlo simulation study.

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References

  1. De Long D.M., Crossing probabilities for a square root boundary by Bessel process, Communications Statistics-Theory Methodology A 10 (1981), 2197–2213.

    Article  Google Scholar 

  2. Deshayes J., Picard D., Off-line statistical analysis of change-point models, Detection of abrupt changes in signals and dynamics systems, Lecture Notes in Control and Information Sciences, vol. 77, 1986, pp. 103–168.

    Article  Google Scholar 

  3. Gombay E., Horváth L., Asymptotic distribution of maximum likelihood tests for change in the mean, Biometrika 77 (1990), 411–414.

    Article  MathSciNet  MATH  Google Scholar 

  4. Hsu D. A., Tests for variance shift at unknown time point, Applied Statistics 26 (1977), 279–284.

    Article  Google Scholar 

  5. James B., James K.L., Siegmund D., Testing for a change-point, Biometrika 74 (1987), 71–83.

    Article  MathSciNet  MATH  Google Scholar 

  6. Kander Z., Zacks S., Test procedures for possible changes in parameters of statistical distributions occurring at unknown time point, Annals of Mathematical Statistics 35 (1966), 1196–1210.

    Article  MathSciNet  Google Scholar 

  7. Kiefer J., K-sample analogues of the Kolmogorov — Smirnov and Cramér-von Mises tests, Annals of Mathematical Statistics 30 (1959), 420–447.

    Article  MathSciNet  MATH  Google Scholar 

  8. Mac Neil I.B., Tests for change of parameter at unknown times and distributions of some related functionals on Brownian motion, Annals of Statistics 2 (1974), 950–962.

    Article  MathSciNet  Google Scholar 

  9. Worsley K.J., Confidence regions and tests for a change-point in a sequence of exponential family random variables, Biometrika 73 (1986), 91–104.

    Article  MathSciNet  MATH  Google Scholar 

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© 1994 Springer-Verlag Berlin Heidelberg

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Daniela, J., Jaromír, A. (1994). Detection of Change in Variance. In: Mandl, P., Hušková, M. (eds) Asymptotic Statistics. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57984-4_24

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  • DOI: https://doi.org/10.1007/978-3-642-57984-4_24

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0770-7

  • Online ISBN: 978-3-642-57984-4

  • eBook Packages: Springer Book Archive

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