Étude asymptotique et pratique du comportement de deux tests de détection de rupture
Statistique et analyse des données, Tome 16 (1991) no. 3, pp. 63-84. 
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     author = {Ghorbanzadeh, Dariush and Picard, Dominique},
     title = {\'Etude asymptotique et pratique du comportement de deux tests de d\'etection de rupture},
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     year = {1991},
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     url = {http://archive.numdam.org/item/SAD_1991__16_3_63_0/}
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Ghorbanzadeh, Dariush; Picard, Dominique. Étude asymptotique et pratique du comportement de deux tests de détection de rupture. Statistique et analyse des données, Tome 16 (1991) no. 3, pp. 63-84. http://archive.numdam.org/item/SAD_1991__16_3_63_0/

[1] Barndorff-Nielsen, O. (1963). On the limit behavior of extreme order statistics. Ann of Stat. 34 pp 992-1002. | MR | Zbl

[2] Bhattacharya, P.K & Fierson, D. Jr (1981). A non parametric control chart for detecting disorders.Ann of Stat. 9. pp 544-554 | MR | Zbl

[3] Bhattacharya, R.N. & Waymire, E.C. (1990) Stochastic Processes with Applications .Wiley. | MR

[4] Bhattacharya, G.K. & Johnson, R.A.(1968). Non parametric tests for shifts at an unknown time point. Ann Math.Stat. 39 pp 1731-1743 | MR | Zbl

[5] Billingsley, P. (1968). Convergence of Probability Measures. Wiley, New York. | MR | Zbl

[6] Billingsley, P. (1979). Probability and Measure. Wiley, New York. | MR | Zbl

[7] Chernoff, H. & Zacks, S (1964). Estimating the current mean of a normal distribution which is subjected to change in time. Ann. Math. Stat. 35 pp 999-1018. | MR | Zbl

[9] Cobb, G.W. (1978). The problem of the Nile: Conditional solution to a changepoint problem. Biometrika, 65, 2, pp. 243-251. | MR | Zbl

[10] Csörgö, M. & Horvàth, L (1988). Nonparametric Methods for changepoint problems. Handbook of Statistic,Vol.7. pp 403-425.

[11] Deshayes, J. & Picard, D. (1986) Off line Statistical ananlysis of change-point models using non parametric and likelihood methods. Lecture Notes on Information and Control. Sringer verlag.

[12] Gardner, L.A. Jr. (1969). On detecting changes in the mean of normal variates. Ann.Math.Stat. 40. pp 114-115. | MR | Zbl

[13] Ghorbanzadeh, D. (1991). Ruptures dans les modèles non paramétriques Applications et Tests. Séminaire 90-91. PARIS V. pp 195-210.

[14] Hajek, J. (1968) Asymptotic normality of simple linear rank statistics under alternatives. Ann Math Stat. 39. pp 325-346. | MR | Zbl

[15] Hajek, J & Sidak, Z. (1967). Theory of Rank. Academic, New York.

[16] Hinkley, D.V. & Hinkley, E.A. (1970) Inference about the change point in a sequence of binomial variables. Biometrika, 57, 2, pp.477-488. | MR | Zbl

[17] Kander, A. & Zacks, S. (1966). Test procedures for possible changes in parameters of statistical distributions occurring at unknown time points. Ann Math Stat. 37. pp 1196-1210. | MR | Zbl

[18] Longini, I.M. (1990). Modeling the Decline of CD4+ ,T-Lymphocyte Counts in HEV-Infected Indiviuals. Journal of Acquired Immune Deficiency Syndromes, Vol.3, N° 9.

[19] Manon, R. & Reynolds, Jr. (1975). A sequential Signed Rank Test for symmetry. Ann of Stat 2. pp 382-400. | MR | Zbl

[20] Picard, D. (1985). Testing and estimating change-point in time series. Advances in Appl. Prob. 17. pp 841-867. | MR | Zbl

[21] Roussas, G. (1972). Contiguity of Probability measure. Combrige University press. | MR | Zbl

[22] Sen, A. & Srivastava, M.S. (1975). On tests for detecting change in mean. Ann of Stat. 3 pp 90-108. | MR | Zbl

[23] Shorac, G.R. & Wellner, J.A. (1986). Empirical Processes with Applications to Statistics. Wiley, New York. | MR | Zbl

[24] Williams, D. (1979). Diffusions, Markov processes and Martingales. Vol.l, Wiley, New York. | MR | Zbl

[25] Worsley, K.J. (1986). Confidence regions and tests for a change point in a sequence of exponential family variables. Biometrika, 73, pp.91-104. | MR | Zbl

[26] Zacks, S. (1982). Fixed sample and sequential procedures. Statistique et Analyse des Données, pp.48-81. | Numdam | MR | Zbl