A goodness-of-fit test based on ranks for ARMA models

In this paper we introduce a goodness-of-fit test based test based on ranks for ARMA models. The classical portmanteau statistic is generalized to a class of estimators based on ranks. The asymptotic distributions of the proposed statistics are derived. Simulation results show that the proposed stat...

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Autor principal: Ferretti, N.
Otros Autores: Kelmansky, D., Yohai, V.
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 1995
Acceso en línea:Registro en Scopus
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100 1 |a Ferretti, N. 
245 1 2 |a A goodness-of-fit test based on ranks for ARMA models 
260 |c 1995 
506 |2 openaire  |e Política editorial 
504 |a Anderson, T.W., (1971) The Statistical Analysis of Times Series., , Wiley, New York 
504 |a Anderson, T.W., Walker, A.M., On the asymptotic distribution of the autocorrelations of a sample from a linear stochastic process (1964) Ann. Math. Statis., 35, pp. 1296-1303 
504 |a Box, G.E.P., Pierce, D.A., Distribution of residual autocorrelations in autoregressive integrated moving average time series models (1970) J. Amer. Statist. Assoc., 65, pp. 1509-1526 
504 |a Bustos, O., Fraiman, R., Yohai, V., Asymptotic behaviour of the estimates based on residual autocovariance for ARMA models (1984) Robust and Nonlinear Time Series., pp. 26-49. , (J. Franke, W. Härdle and D. Martin, eds.), Springer-Verlag, New York 
504 |a Bustos, O., Yohai, V., Robust Estimates for ARMA models (1986) J. Amer. Statist. Assoc., 81, pp. 155-168 
504 |a Denby, L., Martin, R.D., Robust estimation of the first order autoregressive parameter (1979) J. Amer. Statist. Assoc., 74, pp. 140-147 
504 |a Ferretti, N.E., Kelmansky, D.M., Yohai, V.J., Estimators based on ranks for ARMA models (1991) Communications in Statistics-Theory and Methods, 20 (12), pp. 3879-3907 
504 |a Ferretti, N.E., Kelmansky, D.M., Yohai, V.J., Estimators based on ranks for ARMA models (1992), Working Paper 92-02. Departamento de Estadística y Econometría, Universidad Carlos III de Madrid, Spain; Koul, H., A weak convergence result useful in robust autoregression (1992) Journal of Statistical Planning and Linear Inference. 
504 |a Kreiss, J.P., Estimation of the distribution function of noise in stationary processes (1991) Metrika., 38, pp. 285-297 
504 |a Li, W.K., A goodness of fit test in robust time series modelling (1988) Biometrika., 75 (2), pp. 355-361 
504 |a Ljung, G.M., Box, G.E.P., On a measure of lack of fit in time series models (1978) Biometrika, 65, pp. 297-303 
504 |a Press, W.H., Flannery, B.P., Teukolsky, S.A., Vetterling, W.T., (1986) Numerical Recipes: The Art of Scientific Computing, , Cambridge University Press 
504 |a Puri, M.L., Sen, P.K., (1971) Nonparametric Methods on Multivariate Analysis., , Wiley, New York 
520 3 |a In this paper we introduce a goodness-of-fit test based test based on ranks for ARMA models. The classical portmanteau statistic is generalized to a class of estimators based on ranks. The asymptotic distributions of the proposed statistics are derived. Simulation results show that the proposed statistics have good robustness properties for an adequate choice of the score functions. © 1995, Taylor & Francis Group, LLC. All rights reserved.  |l eng 
593 |a Universidad de la Plata, CONICET, Departmento de Matemática, U.N.L.P., c.c. No. 172, 1900 La Plata, Argentina 
593 |a Universidad de Buenos Aires, Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1, 1428 Buenos Aires, Argentina 
593 |a Universidad de San Andrés, Universidad de Buenos Aires, CONICET, Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1, 1428 Buenos Aires, Argentina 
690 1 0 |a ARMA MODELS 
690 1 0 |a GOODNESS-OF-FIT 
690 1 0 |a RANKS 
700 1 |a Kelmansky, D. 
700 1 |a Yohai, V. 
773 0 |d 1995  |g v. 24  |h pp. 295-318  |k n. 2  |p Commun Stat Theory Methods  |x 03610926  |w (AR-BaUEN)CENRE-84  |t Communications in Statistics - Theory and Methods 
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