Some asymptotic results for robust procedures for testing the constancy of regression models over time

Marie Hušková

Kybernetika (1990)

  • Volume: 26, Issue: 5, page 392-403
  • ISSN: 0023-5954

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Hušková, Marie. "Some asymptotic results for robust procedures for testing the constancy of regression models over time." Kybernetika 26.5 (1990): 392-403. <http://eudml.org/doc/27750>.

@article{Hušková1990,
author = {Hušková, Marie},
journal = {Kybernetika},
keywords = {CUSUM; cumulative sums procedure; testing constancy of regression; extensions of Darling-Erdoes theorem; change point problem; recursive residuals; robust testing; recursive M-procedure; score function; M- estimator},
language = {eng},
number = {5},
pages = {392-403},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Some asymptotic results for robust procedures for testing the constancy of regression models over time},
url = {http://eudml.org/doc/27750},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Hušková, Marie
TI - Some asymptotic results for robust procedures for testing the constancy of regression models over time
JO - Kybernetika
PY - 1990
PB - Institute of Information Theory and Automation AS CR
VL - 26
IS - 5
SP - 392
EP - 403
LA - eng
KW - CUSUM; cumulative sums procedure; testing constancy of regression; extensions of Darling-Erdoes theorem; change point problem; recursive residuals; robust testing; recursive M-procedure; score function; M- estimator
UR - http://eudml.org/doc/27750
ER -

References

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  1. J. Antoch, M. Hušková, Some M-tests for detection of a change in linear models, In: Proceedings of the Fourth Prague Symposium on Asymptotic Statistics (P. Mandl, M. Hušková, eds.), Charles University, Prague 1989, pp. 123-136. (1989) MR1051432
  2. R. L. Brown J. Durbin, J. M. Evans, Techniques for testing the constancy of regression relationships over time (with discussion), J. Roy. Statist. Soc. Ser. B 37 (1975), 149-182. (1975) MR0378310
  3. M. Csörgö, L. Horváth, Nonparametric methods for changepoint problems. Handbook of Statistics, vol. 7 (P. R. Krishnaiah and C. R. Rao, eds.), North Holland, Amsterdam 1988, pp. 403-425. (1988) MR0831704
  4. D. A. Darling, P. Erdös, A limit theorem for the maximum of normalized sums of independent random variables, Duke Math. J. 23 (1956), 143-155. (1956) MR0074712
  5. P. Hackl, Testing the Constancy of Regression Models over Time, Vandenhoeck and Ruprecht, Gottingen 1980. (1980) Zbl0435.62089MR0587311
  6. M. Hušková, Stochastic approximation type estimators in linear models, Submitted, 1989. (1989) 
  7. M. Hušková, Recursive M-tests for change point problem, In: Structural Change: Analysis and Forecasting (A. H. Westlund, ed.), School of Economics, Stockholm 1989. (1989) 
  8. M. Hušková, P. K. Sen, Nonparametric tests for shift and change in regression at an unknown time point, In: The Future of the World Economy: Economic Growth and Structural Changes (P. Hackl, ed.), Springer-Verlag, Berlin-Heidelberg-New York 1989, pp. 73-87. (1989) 
  9. P. R. Krishnaiah, B. Q. Miao, Review estimates about change point, Handbook of Statistics, vol. 7 (P. R. Krishnaiah and C R. Rao, eds.). North Holland, Amsterdam 1988, pp. 390-402. (1988) 
  10. V. V.Petrov, Sums of Independent Random Variables, Springer-Verlag, Berlin-Heidelberg - New York 1975. (1975) Zbl0336.60050MR0388499
  11. P. K. Sen, Recursive M-tests for the constancy of multivariate regression relationships overtime, Sequential Anal. 5(1984), 191 - 211. (1984) MR0783036
  12. S. Zacks, Survey of classical and Bayesian approaches to the change point problem: fixed sample and sequential procedures of testing and estimation, In: Recent Advances in Statistics. Papers in Honour of Herman Chernoff's Sixtieth Birthday, Acad. Press, New York, 1983, pp. 245-269. (1983) Zbl0563.62062MR0736536

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