Abstract
Assuming that the observations are from normal distribution we obtain de distribution of the maximum likelihood ratio test if there is a change in the parameters at an unknown time and we find the maximum likehood estimators of the time change too.
References
Antoch, J.; Hušková, M. (2001) “Permutation tests in change point analysis”, Statistics and Probability Letters 53: 37–46.
Antoch, J.; Gregoire, G.; Jurušková, D. (2004) “Detection of structural changes in generalized linear models”, Statistics and Probability Letters 69: 315–332.
Beckman; Cook (1979) “Testing for two-phase Regressions”, Technometrics 21(1).
Gujarati, D. (1997) Econometría. McGraw Hill, México.
Hidalgo, A.(2007) “El cambio estructural del sistema socioeconómico Costarricense desde una perspectiva compleja y evolutiva (1980–1998)”, http://www.eumed.net/tesis/alhc/19.htm
Horvárth, L.; Shao, Q. (1993) “Limit theorems for the union-intersection test”, Journal of Statistical Planning and Inference 44: 133–148.
Muggeo, V. (2003) “Estimating regression models with unknown break-points”, Statistics in Medicine 22: 3055–3071.
Nóvales, A. (1997) Estadística y Econometŕıa. McGraw Hill, México.
Sen, A.; Srivastava, M. (1975) “On tests for detecting change in mean”, Annals of Statistics 3: 98–108.
Steven, J. (2001) “Inference and estimation in a changepoint regression problem”, The Statistician 50(1): 51–61.
Worsley. (1983) “Testing for a two-phase multiple regression”, Technometrics 25(1): 35–42.
Comments
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Copyright (c) 2010 Blanca Rosa Pérez Salvador, María Guadalupe García Salazar