The paper considers the problem of testing for a change point in the parameters of AR(p) models.It is shown that the asymptotically limiting distribution of the residual CUSUM of squares test(RCUSQ) is still the s...The paper considers the problem of testing for a change point in the parameters of AR(p) models.It is shown that the asymptotically limiting distribution of the residual CUSUM of squares test(RCUSQ) is still the sup of a standard Brownian bridge under null hypothesis.We also show via simulations that our asymptotic results provide good approximations in finite samples.展开更多
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文摘The paper considers the problem of testing for a change point in the parameters of AR(p) models.It is shown that the asymptotically limiting distribution of the residual CUSUM of squares test(RCUSQ) is still the sup of a standard Brownian bridge under null hypothesis.We also show via simulations that our asymptotic results provide good approximations in finite samples.