The Annals of Statistics
- Ann. Statist.
- Volume 40, Number 2 (2012), 759-784.
Modeling high-frequency financial data by pure jump processes
It is generally accepted that the asset price processes contain jumps. In fact, pure jump models have been widely used to model asset prices and/or stochastic volatilities. The question is: is there any statistical evidence from the high-frequency financial data to support using pure jump models alone? The purpose of this paper is to develop such a statistical test against the necessity of a diffusion component. The test is very simple to use and yet effective. Asymptotic properties of the proposed test statistic will be studied. Simulation studies and some real-life examples are included to illustrate our results.
Ann. Statist., Volume 40, Number 2 (2012), 759-784.
First available in Project Euclid: 17 May 2012
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Jing, Bing-Yi; Kong, Xin-Bing; Liu, Zhi. Modeling high-frequency financial data by pure jump processes. Ann. Statist. 40 (2012), no. 2, 759--784. doi:10.1214/12-AOS977. https://projecteuclid.org/euclid.aos/1337268211