메뉴 건너뛰기




Volumn 17, Issue 2, 2005, Pages 237-249

Nonparametric volatility density estimation for discrete time models

Author keywords

Deconvolution; Density estimation; Kernel estimator; Mixing; Stochastic volatility models

Indexed keywords


EID: 12444300114     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/1048525042000267752     Document Type: Article
Times cited : (12)

References (24)
  • 1
    • 67649497847 scopus 로고    scopus 로고
    • Stochastic volatility
    • G.S. Maddala, and C.R. Rao (Eds), Statistical Methods in Finance, (Amsterdam: North Holland)
    • Ghysels, E., Harvey, A. and Renault, E., 1996, Stochastic volatility. In: G.S. Maddala, and C.R. Rao (Eds) Handbook of Statistics, Statistical Methods in Finance, Vol. 14 (Amsterdam: North Holland), pp. 119-191.
    • (1996) Handbook of Statistics , vol.14 , pp. 119-191
    • Ghysels, E.1    Harvey, A.2    Renault, E.3
  • 2
    • 0001790102 scopus 로고    scopus 로고
    • Statistical aspects of ARCH and stochastic volatility
    • D.R. Cox, D.V. Hinkley and O.E. Barndorff-Nielsen (Eds) (London: Chapman & Hall)
    • Shephard, N., 1996, Statistical aspects of ARCH and stochastic volatility. In: D.R. Cox, D.V. Hinkley and O.E. Barndorff-Nielsen (Eds) Time Series Models in Econometrics, Finance and Other Fields (London: Chapman & Hall), pp. 1-67.
    • (1996) Time Series Models in Econometrics, Finance and Other Fields , pp. 1-67
    • Shephard, N.1
  • 3
    • 42449156579 scopus 로고
    • Generalized autoregressive conditional heteroscedasticity
    • Bollerslev, T., 1986, Generalized autoregressive conditional heteroscedasticity. Journal of Econometrics, 31, 307-321.
    • (1986) Journal of Econometrics , vol.31 , pp. 307-321
    • Bollerslev, T.1
  • 4
    • 0001523794 scopus 로고
    • Strict stationarity of generalized autoregressive processes
    • Bougerol, P. and Picard, N., 1992a, Strict stationarity of generalized autoregressive processes. Annals of Probability, 20(4), 1714-1730.
    • (1992) Annals of Probability , vol.20 , Issue.4 , pp. 1714-1730
    • Bougerol, P.1    Picard, N.2
  • 5
    • 0001306015 scopus 로고
    • Stationarity of GARCH processes and of some nonnegative time series
    • Bougerol, P. and Picard, N., 1992b, Stationarity of GARCH processes and of some nonnegative time series. Journal of Econometrics, 52(1-2), 115-127.
    • (1992) Journal of Econometrics , vol.52 , Issue.1-2 , pp. 115-127
    • Bougerol, P.1    Picard, N.2
  • 6
    • 0002788005 scopus 로고
    • On the relation between GARCH and stable processes
    • De Vries, C.G., 1991, On the relation between GARCH and stable processes. Journal of Econometrics, 48, 313-324.
    • (1991) Journal of Econometrics , vol.48 , pp. 313-324
    • De Vries, C.G.1
  • 8
    • 84988058829 scopus 로고
    • A consistent nonparametric density estimator for the deconvolution problem
    • Liu, M.C. and Taylor, R.L., 1989, A consistent nonparametric density estimator for the deconvolution problem Canadian Journal of Statistics, 17, 427-438.
    • (1989) Canadian Journal of Statistics , vol.17 , pp. 427-438
    • Liu, M.C.1    Taylor, R.L.2
  • 9
    • 38249019182 scopus 로고
    • Rates of convergence of some estimators in a class of deconvolution problems
    • Stefanski, L.A., 1990, Rates of convergence of some estimators in a class of deconvolution problems. Statistical and Probability Letters, 9, 229-235.
    • (1990) Statistical and Probability Letters , vol.9 , pp. 229-235
    • Stefanski, L.A.1
  • 10
    • 84972949113 scopus 로고
    • Deconvoluting kernel density estimators
    • Stefanski, L. and Carroll, R., 1990, Deconvoluting kernel density estimators. Statistics, 21, 169-184.
    • (1990) Statistics , vol.21 , pp. 169-184
    • Stefanski, L.1    Carroll, R.2
  • 12
    • 0000867838 scopus 로고
    • On the optimal rates of convergence for nonparametric deconvolution problems
    • Fan, J., 1991, On the optimal rates of convergence for nonparametric deconvolution problems. Annals of Statistics, 19, 1257-1272.
    • (1991) Annals of Statistics , vol.19 , pp. 1257-1272
    • Fan, J.1
  • 13
    • 0026186424 scopus 로고
    • Multivariate probability density deconvolution for stationary stochastic processes
    • Masry, E., 1991, Multivariate probability density deconvolution for stationary stochastic processes. IEEE Transactions on Information Theory, 37, 1105-1115.
    • (1991) IEEE Transactions on Information Theory , vol.37 , pp. 1105-1115
    • Masry, E.1
  • 14
    • 0002178640 scopus 로고
    • Asymptotic normality for deconvolution estimators of multivariate densities of stationary processes
    • Masry, E., 1993a, Asymptotic normality for deconvolution estimators of multivariate densities of stationary processes. Journal of Multivariate Analysis, 44, 47-68.
    • (1993) Journal of Multivariate Analysis , vol.44 , pp. 47-68
    • Masry, E.1
  • 15
    • 0002454664 scopus 로고
    • Strong consistency and rates for deconvolution of multivariate densities of stationary processes
    • Masry, E., 1993b, Strong consistency and rates for deconvolution of multivariate densities of stationary processes. Stochastic Process and their Applications, 475, 53-74.
    • (1993) Stochastic Process and Their Applications , vol.475 , pp. 53-74
    • Masry, E.1
  • 16
    • 0032519224 scopus 로고    scopus 로고
    • Finite sample performance of deconvolving kernel density estimators
    • Wand, M.P., 1998, Finite sample performance of deconvolving kernel density estimators. Statistical and Probability Letters, 37, 131-139.
    • (1998) Statistical and Probability Letters , vol.37 , pp. 131-139
    • Wand, M.P.1
  • 17
    • 0000390031 scopus 로고
    • Basic properties of strong mixing conditions
    • E. Eberlein and M.S. Taqqu (Eds) (Boston: Birkhaüser)
    • Bradley, R.C., 1986, Basic properties of strong mixing conditions. In: E. Eberlein and M.S. Taqqu (Eds) Dependence in Probability and Statistics (Boston: Birkhaüser).
    • (1986) Dependence in Probability and Statistics
    • Bradley, R.C.1
  • 20
    • 0001708259 scopus 로고
    • A note on empirical processes for strong mixing processes
    • Deo, C.M., 1973, A note on empirical processes for strong mixing processes. Annals of Probability, 1, 870-875.
    • (1973) Annals of Probability , vol.1 , pp. 870-875
    • Deo, C.M.1
  • 21
    • 0020827762 scopus 로고
    • Probability density estimation from sampled data
    • Masry, E., 1983, Probability density estimation from sampled data. IEEE Transactions Information Theory, 29, 696-709.
    • (1983) IEEE Transactions Information Theory , vol.29 , pp. 696-709
    • Masry, E.1
  • 22
    • 0036003734 scopus 로고    scopus 로고
    • Mixing and moment properties of various GARCH and stochastic volatility models
    • Carasso, M. and Chen, X., 2002, Mixing and moment properties of various GARCH and stochastic volatility models. Econometric Theory, 18, 17-39.
    • (2002) Econometric Theory , vol.18 , pp. 17-39
    • Carasso, M.1    Chen, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.