Un test de détection de rupture de la moyenne dans un modèle gaussien

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1. [1] Bhattacharya, P.K. and Frierson, F. Jr. (1981). A nonparametric control chart for detecting small disorders. Ann. Statist.9 p. 544-554. Zbl0503.62077MR615430
2. [2] Billingsley, P. (1968). Convergence of Probability Measures. Wiley, New York. Zbl0172.21201MR233396
3. [3] Chernoff, H. and Zacks, S. (1964). Estimating the current mean of a normal distribution which is subjected to change in time. Ann.Math.Statist.35 p. 999-1018. Zbl0218.62033MR179874
4. [4] Cobb, G.W. (1978). The problem of the Nile : Conditional solution to a change point problem. Biometrika. 65(2) p. 243-251. Zbl0394.62074MR513930
5. [5] Csörgö, M. and Horvàth. (1988). Noparametric Methods for changepoint problems. Handbook of statistic. Vol. 7 p. 403-425. 
6. [6] Darkhovskh, B.S. (1976). A non-parametric method for the a posteriori detection of the «disorder» time of a sequence of independent random variables. Theory Probab. Appel21 p. 178-183. Zbl0397.62024
7. [7] Deshayes, J. AND Picard, D. (1986). Off line statistical analysis of change-point models using non parametric and likelihood methods. Lecture Notes in Control and Information Sciences. N°77Springer-Verlag, Berlin. p. 103-168. 
8. [8] Ferger, D. and Stute, W. (1992). Convergence of changepoint estimators. Stochastic Processes and their Applications. North-Holland. 42 p. 345-351. Zbl0752.62032MR1176507
9. [9] Gardner, L.A. Jr (1969). On detecting changes in the mean of normal variates. Ann.Math.Statist.40 p. 116-126. Zbl0184.22202MR243666
10. [10] Ghorbanzadeh, D. (1993). An Application of Likelihood Ratio Test to the Change point problem. Soumis à Applied Stochastic Model and Data Analysis. 
11. [11] Ghorbanzadeh, D. (1992). Détection de Rupture dans les modèles Statistiques. Thèses de doctorat de l'Université PARIS VII. 
12. [12] Ghorbanzadeh, D. et Picard, D. (1992). Etude Asymptotique et Pratique du comportement de deux tests de détection de rupture. Statistique et Analyse des Données. Vol. 16 p. 63-84. MR1209840
13. [13] Hawkins, D.M. (1977). Testing a sequence of observations for a shift in location. J.Amer.Statist.Assoc.72 p. 180-186. Zbl0346.62027MR451496
14. [14] Saporta, G. (1990). Probabilités, Analyse des Données et Statistique. Technip, Paris. Zbl0703.62003
15. [15] Sen, A. and Srivastava, M.S. (1975). On tests for detecting change in mean. Ann.Statist.3 p. 90-108. Zbl0305.62014MR362649
16. [16] Worsley, K.J. (1983). The power of likelihood ratios and cumulative sum tests for a change in binomial probability. Biometrika. 70 p. 91-104. Zbl0529.62025MR712033
17. [17] Worsley, K.J. (1986). Confidence regions and tests for a change-point in a sequence of exponential family random variables. Biometrika. 73 p. 455-464. Zbl0589.62016MR836437

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