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Volumn 76, Issue 14, 2006, Pages 1494-1502

The Bickel-Rosenblatt test for diffusion processes

Author keywords

Diffusion process; Discrete scheme; Gaussian test; Test for the existence of jumps; The Bickel Rosenblatt test; Weak convergence

Indexed keywords


EID: 33745214677     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2006.03.009     Document Type: Article
Times cited : (4)

References (29)
  • 2
    • 0000797991 scopus 로고
    • On some global measures of the deviation of density function estimators
    • Bickel P., and Rosenblatt P. On some global measures of the deviation of density function estimators. Ann. Statist. 1 (1973) 1071-1095
    • (1973) Ann. Statist. , vol.1 , pp. 1071-1095
    • Bickel, P.1    Rosenblatt, P.2
  • 3
    • 0000488378 scopus 로고
    • Estimation of the distribution of noise in an autoregressive scheme
    • Boldin M.V. Estimation of the distribution of noise in an autoregressive scheme. Theory Probab. Appl. 27 (1982) 871-886
    • (1982) Theory Probab. Appl. , vol.27 , pp. 871-886
    • Boldin, M.V.1
  • 4
    • 0010083802 scopus 로고    scopus 로고
    • On empirical processes in heteroscedastic time series and their use for hypothesis testing and estimation
    • Boldin M.V. On empirical processes in heteroscedastic time series and their use for hypothesis testing and estimation. Math. Meth. Statist. 9 (2000) 65-89
    • (2000) Math. Meth. Statist. , vol.9 , pp. 65-89
    • Boldin, M.V.1
  • 6
    • 0001467992 scopus 로고
    • Weak convergence of the sample distribution function when parameters are estimated
    • Durbin J. Weak convergence of the sample distribution function when parameters are estimated. Ann. Statist. 1 (1973) 279-290
    • (1973) Ann. Statist. , vol.1 , pp. 279-290
    • Durbin, J.1
  • 7
    • 84881079791 scopus 로고
    • Approximate discrete time schemes for statistics of diffusions
    • Florens-Zmirou D. Approximate discrete time schemes for statistics of diffusions. Statistics 4 (1989) 547-557
    • (1989) Statistics , vol.4 , pp. 547-557
    • Florens-Zmirou, D.1
  • 8
    • 0000150950 scopus 로고
    • The power and optimal kernel of the Bickel-Rosenblatt test for goodness of fit
    • Ghosh B.K., and Huang W.M. The power and optimal kernel of the Bickel-Rosenblatt test for goodness of fit. Ann. Statist. 19 (1991) 999-1099
    • (1991) Ann. Statist. , vol.19 , pp. 999-1099
    • Ghosh, B.K.1    Huang, W.M.2
  • 9
    • 0037284766 scopus 로고    scopus 로고
    • Convergence of jump-diffusion models to the Black-Scholes model
    • Hong D., and Wee I.-S. Convergence of jump-diffusion models to the Black-Scholes model. Stochastic Anal. Appl. 21 (2003) 141-160
    • (2003) Stochastic Anal. Appl. , vol.21 , pp. 141-160
    • Hong, D.1    Wee, I.-S.2
  • 11
    • 0040360923 scopus 로고    scopus 로고
    • Estimation of an ergodic diffusion from discrete observations
    • Kessler M. Estimation of an ergodic diffusion from discrete observations. Scand. J. Statit. 24 (1997) 211-229
    • (1997) Scand. J. Statit. , vol.24 , pp. 211-229
    • Kessler, M.1
  • 12
    • 33745206421 scopus 로고    scopus 로고
    • Koul, H.L., 2002. Weighted Empirical Processes in Dynamic Nonlinear Models, second ed. Lecture Notes in Statistics, vol. 166. Springer, New York.
  • 14
    • 33745211794 scopus 로고    scopus 로고
    • Lee, S., Na, S., 2000. A nonparametric goodness of test for strong mixing processes. Annales de l'Institut de Statistique de l'Universite de Paris. fasc 2-3 3-20.
  • 15
    • 0036158467 scopus 로고    scopus 로고
    • On the Bickel-Rosenblatt test for the first order autoregressive models
    • Lee S., and Na S. On the Bickel-Rosenblatt test for the first order autoregressive models. Statist. Probab. Lett. 56 (2002) 23-35
    • (2002) Statist. Probab. Lett. , vol.56 , pp. 23-35
    • Lee, S.1    Na, S.2
  • 16
    • 17244365395 scopus 로고    scopus 로고
    • Asymptotic theory for ARCH-SM models: LAN and residual empirical processes
    • Lee S., and Taniguchi M. Asymptotic theory for ARCH-SM models: LAN and residual empirical processes. Statist. Sin. 15 (2005) 215-234
    • (2005) Statist. Sin. , vol.15 , pp. 215-234
    • Lee, S.1    Taniguchi, M.2
  • 17
    • 0033074819 scopus 로고    scopus 로고
    • On residual empirical processes of stochastic regression models with application to time series
    • Lee S., and Wei C.Z. On residual empirical processes of stochastic regression models with application to time series. Ann. Statist. 27 (1999) 237-261
    • (1999) Ann. Statist. , vol.27 , pp. 237-261
    • Lee, S.1    Wei, C.Z.2
  • 18
    • 0242458494 scopus 로고    scopus 로고
    • The cusum test for parameter change in time series models
    • Lee S., Ha J., Na O., and Na S. The cusum test for parameter change in time series models. Scand. J. Statist. 30 (2003) 781-796
    • (2003) Scand. J. Statist. , vol.30 , pp. 781-796
    • Lee, S.1    Ha, J.2    Na, O.3    Na, S.4
  • 19
    • 33745213468 scopus 로고    scopus 로고
    • The cusum test for parameter change in regression models with ARCH errors
    • Lee S., Tokutsu I., and Maekawa K. The cusum test for parameter change in regression models with ARCH errors. J. Japan Statist. Soc. 34 (2004) 173-188
    • (2004) J. Japan Statist. Soc. , vol.34 , pp. 173-188
    • Lee, S.1    Tokutsu, I.2    Maekawa, K.3
  • 20
    • 0032360239 scopus 로고    scopus 로고
    • Weak convergence of the sequential empirical processes of residuals in nonstationary autoregressive models
    • Ling S. Weak convergence of the sequential empirical processes of residuals in nonstationary autoregressive models. Ann. Statist. 56 (1998) 741-754
    • (1998) Ann. Statist. , vol.56 , pp. 741-754
    • Ling, S.1
  • 29
    • 0000574485 scopus 로고
    • Estimation for diffusions from discrete observations
    • Yoshida N. Estimation for diffusions from discrete observations. J. Multivariate Anal. 41 (1992) 220-242
    • (1992) J. Multivariate Anal. , vol.41 , pp. 220-242
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.