Test for autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Lévy processes |
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作者姓名: | ZHANG ShiBin ZHANG XinSheng |
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作者单位: | Department of Mathematics,Shanghai Maritime University;Department of Statistics,Fudan University |
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基金项目: | supported by National Natural Science Foundation of China(Grant Nos.10901100 and 11071045) |
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摘 要: | In this paper,we consider the problem of testing for an autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Lévy processes.For a test,we propose a class of test statistics constructed by an iterated cumulative sums of squares of the difference between two adjacent observations.It is shown that each of the test statistics weakly converges to the supremum of the square of a Brownian bridge.The test statistics are evaluated by some empirical results.
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关 键 词: | autocorrelation Brownian bridge cusum test Ornstein-Uhlenbeck test for parameter change weak convergence |
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