Goodness-of-Fit Test in Multivariate Jump Diffusion Models

作者: Shulin Zhang , Qian M Zhou , Dongming Zhu , Peter X-K Song , None

DOI: 10.1080/07350015.2017.1321547

关键词: Pearson's chi-squared testRestricted maximum likelihoodMathematicsTest statisticLikelihood principleJump diffusionGoodness of fitStatisticsLikelihood-ratio testScore test

摘要: In this article, we develop a new goodness-of-fit test for multivariate jump diffusion models. The statistic is constructed by contrast between an “in-sample” likelihood (or of ...

参考文章(64)
Anirban DasGupta, Goodness of Fit with Estimated Parameters Springer, New York, NY. pp. 451- 459 ,(2008) , 10.1007/978-0-387-75971-5_28
Paul Doukhan, Mixing: Properties and Examples ,(1994)
S.G. Kou, Chapter 2 Jump-Diffusion Models for Asset Pricing in Financial Engineering Handbooks in Operations Research and Management Science. ,vol. 15, pp. 73- 116 ,(2007) , 10.1016/S0927-0507(07)15002-7
Song Xi Chen, Jinyuan Chang, On the Approximate Maximum Likelihood Estimation for Diffusion Processes Annals of Statistics. ,vol. 39, pp. 2820- 2851 ,(2011) , 10.1214/11-AOS922
Qiang Chen, Xu Zheng, Zhiyuan Pan, Asymptotically distribution-free tests for the volatility function of a diffusion Journal of Econometrics. ,vol. 184, pp. 124- 144 ,(2015) , 10.1016/J.JECONOM.2014.06.020
Yacine Aït-Sahalia, Jianqing Fan, Heng Peng, Nonparametric Transition-Based Tests for Jump Diffusions Journal of the American Statistical Association. ,vol. 104, pp. 1102- 1116 ,(2009) , 10.1198/JASA.2009.TM08198
Daniel B. Nelson, ARCH models as diffusion approximations Journal of Econometrics. ,vol. 45, pp. 7- 38 ,(1990) , 10.1016/0304-4076(90)90092-8