Continuous-time autoregressive moving average (CARMA) processes have recently been used widely in the modelling of non-uniformly spaced data and as a tool for dealing with high-frequency data of the form ,n = 0, 1, 2,..., where Delta is small and positive. Such data occur in many fields of application, particularly in finance and in the study of turbulence. This article is concerned with the characteristics of the process , when Delta is small and the underlying continuous-time process is a specified CARMA process.
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Univ Wisconsin, Dept Stat, Madison, WI 53706 USAUniv Wisconsin, Dept Stat, Madison, WI 53706 USA
Kim, Donggyu
Wang, Yazhen
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机构:
Univ Wisconsin, Dept Stat, Madison, WI 53706 USA
Shanghai Univ Finance & Econ, Sch Stat & Management, Shanghai 200433, Peoples R ChinaUniv Wisconsin, Dept Stat, Madison, WI 53706 USA