Testing the Randomness of the Coefficients In First Order Autoregressive Processes

  • Park, Sangwoo (Korea Investor′s Service) ;
  • Lee, Sangyeol (Department of Statistics, Seoul National University) ;
  • Sun Y. Hwang (Department of Statistics, Sookmyung Women′s University)
  • Published : 1998.06.01

Abstract

In this paper, we are concerned with the problem of testing the randomness of the coefficients in a first order autoregressive model. A consistent test based on prediction error is suggested. It is shown that under the null hypothesis, the test statistic is asymptotically normal.

Keywords

References

  1. Time Series: Theory and Methods(2nd. ed.) Brockwell, P. J.;Davis, R. A.
  2. Journal of Statistical Planning and Inference Parameter estimation for generalized random coefficient autoregressive peocesses Hwang, S.Y.;Basawa, I.V.
  3. Lecture Notes in Statistics v.11 Random Coefficient Autoregressive Models:An Introduction Nicholls, D.F;Quinn, B.G.
  4. Metrika v.39 Rank tests for testing randomness of a rgression coefficient in a linear regression model Ramanathan, T.V.;Rajarshi, M.B.
  5. Statistics and Probability Letters v.21 Rank tests for testing randomness of autoregressive coefficients Ramanathan, T.V.;Rajarshi, M.B.