Detection of changes in time series and its application in ecology

Daniela Jarušková; Jaromír Antoch

Pokroky matematiky, fyziky a astronomie (2002)

  • Volume: 47, Issue: 4, page 307-323
  • ISSN: 0032-2423

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Jarušková, Daniela, and Antoch, Jaromír. "Detekce změn v časových řadách a její aplikace v ekologii." Pokroky matematiky, fyziky a astronomie 47.4 (2002): 307-323. <http://eudml.org/doc/196415>.

@article{Jarušková2002,
author = {Jarušková, Daniela, Antoch, Jaromír},
journal = {Pokroky matematiky, fyziky a astronomie},
keywords = {change point detection; time series},
language = {cze},
number = {4},
pages = {307-323},
publisher = {Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists},
title = {Detekce změn v časových řadách a její aplikace v ekologii},
url = {http://eudml.org/doc/196415},
volume = {47},
year = {2002},
}

TY - JOUR
AU - Jarušková, Daniela
AU - Antoch, Jaromír
TI - Detekce změn v časových řadách a její aplikace v ekologii
JO - Pokroky matematiky, fyziky a astronomie
PY - 2002
PB - Jednota českých matematiků a fyziků Union of Czech Mathematicians and Physicists
VL - 47
IS - 4
SP - 307
EP - 323
LA - cze
KW - change point detection; time series
UR - http://eudml.org/doc/196415
ER -

References

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  1. Albin, J. M. P., On extremal theory for stationary processes, Ann. Probab. 18 (1990), 92–108. (1990) Zbl0704.60029MR1043939
  2. Alexandersson, H., A homogeneity test applied to precipitation data, J. Climatol. 6 (1986), 661–675. (1986) 
  3. Anděl, J., Matematická statistika, SNTL/ALFA, Praha 1985. (1985) 
  4. Antoch, J., Hušková, M., Jarušková, D., Change-point problém po deseti letech, ROBUST ’1998. Antoch, J. a Dohnal, G. eds., JČMF, Praha 1998, 1–42. (1998) 
  5. Antoch, J., Hušková, M., Jarušková, D., Off-line process control, Multivariate Total Quality Control: Foundation and Recent Advances. Springer-Verlag, Heidelberg 2002, 1–86. (2002) Zbl1039.62110MR1886415
  6. Antoch, J., Hušková, M., Prášková, Z., Effect of dependence on statistics for determination of change, J. Stat. Plan. Infer. 60 (1997), 291–310. (1997) Zbl1003.62537MR1456633
  7. Bai, J., Least squares estimation of a shift in linear processes, J. Time Series Analysis 15 (1994), 453–472. (1994) Zbl0808.62079MR1292161
  8. Bhattacharya, P. K., Weak convergence of the log-likelihood process in the two-phase regression problem, Proc. of the R. C. Bose Symposium on Probability, Statistics and Design of Experiments, Wiley Eastern, New Delhi 1990, 145–156. (1990) 
  9. Brown, R. L., Durbin, J., Evans, J. M., Techniques for testing the constancy of regression relationships over time (with discussion), JRSS B 37 (1975), 149–192. (1975) Zbl0321.62063MR0378310
  10. Buishand, T. A., Tests for detecting a shift in the mean of hydrological records, J. Hydrol. 73 (1984), 51–69. (1984) 
  11. Chernoff, H., Zacks, S., Estimating the current mean of normal distribution which is subjected to changes in time, Ann. Math. Statist. 35 (1964), 999–1018. (1964) Zbl0218.62033MR0179874
  12. Csörgő, M., Horváth, L., Limit Theorems in Change Point Analysis, J. Wiley, New York 1997. (1997) Zbl0884.62023
  13. Deshayes, J., Picard, D., Off-line statistical analysis of change point models using nonparametric and likelihood methods, Lecture Notes in Control and Information Sciences 77, Basseville, M. et al. eds., Springer Verlag, New York 1986, 103–168. (1986) 
  14. Gardner, L. A., On detecting changes in the mean of normal variates, Ann. Math. Statist. 40 (1969), 116–126. (1969) MR0243666
  15. Hátle, J., Likeš, J., Základy počtu pravděpodobnosti a matematické statistiky, SNTL/ALFA, Praha 1974. (1974) Zbl0345.60005
  16. Hinkley, D. V., Inference about the intersection in two-phase regression, Biometrika 56 (1969), 495–504. (1969) Zbl0183.48505
  17. Chlebek, A., Jařabáč, M., Vliv pokračujících těžeb porostů v povodí a obnovy na odtok vody, Zpráva pro závěrečné oponentní řízení, Výzkumný ústav lesního hospodářství a myslivosti, Jíloviště-Strnady 1989. (1989) 
  18. James, B., James, K. L., Siegmund, D., Tests for change points, Biometrika 74 (1987), 71–84. (1987) Zbl0632.62021MR0885920
  19. Jarušková, D., Change-point detection for dependent data and application to hydrology, Istatistik. Journal of the Turkish Statistical Association 1 (1998), 9–21. (1998) 
  20. Jarušková, D., Change point detection in meteorological measurements, Monthly Weather Review 124 (1996), 1535–1543. (1996) 
  21. Jarušková, D., Some problems with application of change point detection methods to environmental data, Environmetrics 8 (1997), 469–483. (1997) 
  22. Jones, P. D., Wigley, M. L., Briffa, K. R., Global and hemispheric temperature anomalies — land and maritime instrumental records, Boden, T. A., Kaiser, D. P., Sepanski, R. J., Stoss, F. W., eds. Trends ’93: A Compendium of Data on Global Change, ORNC/CDIAC-65, Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, Oak Ridge, Tenn., USA 1994, 603–608. (1994) 
  23. Kander, Z., Zacks, S., Test procedures for possible changes in parameters of statistical distributions occurring at unknown time points, Ann. Math. Statist. 37 (1966), 1196–1210. (1966) Zbl0143.41002MR0202242
  24. MacNeill, I. B., Tests for change of parameter at unknown time and distribution of some related functionals of Brownian motion, Ann. Statist. 2 (1974), 950–962. (1974) Zbl0289.62059MR0426253
  25. MacNeill, I. B., Properties of sequences of partial sums of polynomial regression residuals with applications to tests for change of regression at unknown times, Ann. Statist. 6 (1978), 422–433. (1978) Zbl0375.62064MR0474645
  26. Rhoadas, D. A., Salinger, M. J., Adjustment of temperature and rainfalls records for site changes, J. Climatol. 13 (1993), 899–913. (1993) 
  27. Štěpán, J., Teorie pravděpodobnosti. Matematické základy, Academia, Praha 1987. (1987) 
  28. Vannitsem, S., Nicolis, C., Detecting climatic transitions: Statistical and dynamical aspects, Beitr. Phys. Atmosph. 64 (1991), 245–254. (1991) 
  29. Worsley, K. J., Testing for a two-phase multiple regression, Technometrics 25 (1983), 35–42. (1983) Zbl0508.62061MR0694210
  30. Yao Yi-Ching, Davis, R. A., The asymptotic behavior of the likelihood ratio statistic for testing a shift in mean in a sequence of independent normal variates, Sankhya 48 (1986), 339–353. (1986) Zbl0691.62026MR0905446
  31. Yao Yi-Ching, Au, S. T., Least-squares estimation of a step function, Sankhya 51 (1989), 370–381. (1989) Zbl0711.62031MR1175613

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