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Article

Title: Estimators for epidemic alternatives (English)
Author: Hušková, Marie
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 36
Issue: 2
Year: 1995
Pages: 279-291
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Category: math
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Summary: We introduce and study the behavior of estimators of changes in the mean value of a sequence of independent random variables in the case of so called epidemic alternatives which is one of the variants of the change point problem. The consistency and the limit distribution of the estimators developed for this situation are shown. Moreover, the classical estimators used for `at most change' are examined for the studied situation. (English)
Keyword: change point problem
Keyword: estimators
Keyword: linear models
MSC: 62F05
MSC: 62F12
MSC: 62G05
MSC: 62G20
MSC: 62J05
idZBL: Zbl 0831.62024
idMR: MR1357530
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Date available: 2009-01-08T18:17:59Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/118757
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Reference: [1] Antoch J., Hušková M.: Change point problem.Computational Aspects of Model Choice Antoch J. Physica Verlag, Heidelberg, 1992 11-38. MR 1210549
Reference: [2] Antoch J., Hušková M.: Procedures for the detection of multiple changes in series of independent observations.Proceedings of the $5^{\hskip 1 pt {th}}$ Prague Symposium on Asymptotic Statistics Hušková M. and Mandl P. Physica Verlag, Heidelberg, 1994 3-20. MR 1311925
Reference: [3] Antoch J., Hušková M.: Tests and estimators for epidemic alternatives.submitted, 1994.
Reference: [4] Antoch J., Hušková M., Veraverbeke N.: Change-point problem and bootstrap.submitted, 1993. MR 1210549
Reference: [5] Billingsley P.: Convergence of Probability Measures.Wiley New York, 1968. Zbl 0944.60003, MR 0233396
Reference: [6] Brodsky B.E., Darkhovsky B.S.: Nonparametric Methods in Change-Point Problem.Kluwer Academic Press, 1993. MR 1228205
Reference: [7] Dümbgen L.: The asymptotic behavior of some nonparametric change-point estimators.Annals of Statistics 19 (1991), 1471-1475. MR 1126333
Reference: [8] Gänssler P., Stute W.: Wahrscheinlichtkeitstheorie.Springer Verlag Berlin, 1977. MR 0501219
Reference: [9] Gombay E.: Testing for change-points with rank and sign statistics.preprint, 1993. Zbl 0812.62053, MR 1294803
Reference: [10] Gombay E., Horváth L.: Approximations for the time of change and the power function in change-point models statistics.preprint, 1994. MR 1391683
Reference: [11] Horváth L.: Some applications of the likelihood method in change-point models statistics.Transactions of the Twelfth Prague Conference, 1994, pp. 106-108.
Reference: [12] Khakhubia T.G.: A limit theorem for a maximum likelihood estimate of the disorder time.Theory Prob. Appl. 31 141-144 (1986). MR 0836966
Reference: [13] Levin B., Kline J.: The Cusum test of homogeneity with the application in spontaneous abortion epidemiology.Statist. in Medicine 4 469-488 (1985).
Reference: [14] Lombard F.: Rank tests for changepoint problem.Biometrika 74 615-624 (1987). MR 0909366
Reference: [15] Siegmund D.: Confidence sets in change-point problems.International Statistical Review 56 (1988), 31-38. Zbl 0684.62028, MR 0963139
Reference: [16] Yao Q.: Tests for change-points with epidemic alternatives.Biometrika 80 179-191 (1993). Zbl 0771.62080, MR 1225223
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