A nonparametric approach to the estimation of jump-diffusion models with asymmetric kernels

作者: Muhammad Hanif , Zudi Lu

DOI: 10.1080/23311835.2016.1179247

关键词:

摘要: This paper presents the nonparametric estimation of first and second infinitesimal moments underlying jump-diffusion model with asymmetric kernel functions. In particular, we use estimators characterized by gamma distribution. approach allows to conciliate idea using models. We show that proposed are consistent asymptotically follow normal distribution under conditions recurrence stationarity.

参考文章(29)
Marc Yor, Daniel Revuz, Continuous martingales and Brownian motion ,(1990)
Nikolay Gospodinov, Masayuki Hirukawa, Nonparametric estimation of scalar diffusion models of interest rates using asymmetric kernels Journal of Empirical Finance. ,vol. 19, pp. 595- 609 ,(2012) , 10.1016/J.JEMPFIN.2012.04.001
ZhengYan Lin, HanChao Wang, Empirical likelihood inference for diffusion processes with jumps Science China Mathematics. ,vol. 53, pp. 1805- 1816 ,(2010) , 10.1007/S11425-010-4027-2
Manuel Arapis, Jiti Gao, Empirical Comparisons in Short-Term Interest Rate Models Using Nonparametric Methods Journal of Financial Econometrics. ,vol. 4, pp. 310- 345 ,(2006) , 10.1093/JJFINEC/NBJ007
Karine Bertin, Nicolas Klutchnikoff, Minimax properties of beta kernel estimators Journal of Statistical Planning and Inference. ,vol. 141, pp. 2287- 2297 ,(2011) , 10.1016/J.JSPI.2011.01.009
Shunpu Zhang, A note on the performance of the gamma kernel estimators at the boundary Statistics & Probability Letters. ,vol. 80, pp. 548- 557 ,(2010) , 10.1016/J.SPL.2009.12.009
Song Xi Chen, Probability Density Function Estimation Using Gamma Kernels Annals of the Institute of Statistical Mathematics. ,vol. 52, pp. 471- 480 ,(2000) , 10.1023/A:1004165218295
Shunpu Zhang, Rohana J Karunamuni, M Chris Jones, None, An Improved Estimator of the Density Function at the Boundary Journal of the American Statistical Association. ,vol. 94, pp. 1231- 1240 ,(1999) , 10.1080/01621459.1999.10473876
Jianqing Fan, Irene Gijbels, Variable Bandwidth and Local Linear Regression Smoothers Annals of Statistics. ,vol. 20, pp. 2008- 2036 ,(1992) , 10.1214/AOS/1176348900
Émeline Schmisser, Non-parametric adaptive estimation of the drift for a jump diffusion process Stochastic Processes and their Applications. ,vol. 124, pp. 883- 914 ,(2014) , 10.1016/J.SPA.2013.09.012