메뉴 건너뛰기




Volumn 35, Issue 1, 2007, Pages 355-392

Volatility estimators for discretely sampled Lévy processes

Author keywords

Discrete sampling; Efficiency; Inference; Jumps

Indexed keywords


EID: 34548023382     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/009053606000001190     Document Type: Article
Times cited : (68)

References (23)
  • 1
    • 7744220299 scopus 로고    scopus 로고
    • Disentangling diffusion from jumps
    • AÏT-SAHALIA, Y. (2004). Disentangling diffusion from jumps. J. Financial Econ. 74 487-528.
    • (2004) J. Financial Econ , vol.74 , pp. 487-528
    • AÏT-SAHALIA, Y.1
  • 2
    • 49449094123 scopus 로고    scopus 로고
    • Fisher's information for discretely sampled Lévy processes. Technical report, Princeton Univ. and Univ. de Paris
    • AÏT-SAHALIA, Y. and JACOD, J. (2006). Fisher's information for discretely sampled Lévy processes. Technical report, Princeton Univ. and Univ. de Paris 6.
    • (2006) , pp. 6
    • AÏT-SAHALIA, Y.1    JACOD, J.2
  • 3
    • 0002777794 scopus 로고
    • Estimation of stable-law parameters: A comparative study
    • AKGIRAY, V. and LAMOUREUX, C. G. (1989). Estimation of stable-law parameters: A comparative study. J. Bus. Econom. Statist. 7 85-93.
    • (1989) J. Bus. Econom. Statist , vol.7 , pp. 85-93
    • AKGIRAY, V.1    LAMOUREUX, C.G.2
  • 4
    • 33644508697 scopus 로고    scopus 로고
    • Impact of jumps on returns and realised variances: Econometric analysis of time-deformed Lévy processes
    • BARNDORFF-NIELSEN, O. E. and SHEPHARD, N. (2006). Impact of jumps on returns and realised variances: Econometric analysis of time-deformed Lévy processes. J. Econometrics 131 217-252.
    • (2006) J. Econometrics , vol.131 , pp. 217-252
    • BARNDORFF-NIELSEN, O.E.1    SHEPHARD, N.2
  • 5
    • 0000380256 scopus 로고
    • On the asymptotic normality of the maximum-likelihood estimator when sampling from a stable distribution
    • DUMOUCHEL, W. H. (1973). On the asymptotic normality of the maximum-likelihood estimator when sampling from a stable distribution. Ann. Statist. 1 948-957.
    • (1973) Ann. Statist , vol.1 , pp. 948-957
    • DUMOUCHEL, W.H.1
  • 6
    • 0000765140 scopus 로고
    • Stable distributions in statistical inference. I. Symmetric stable distributions compared to other symmetric long-tailed distributions
    • DUMOUCHEL, W. H. (1973). Stable distributions in statistical inference. I. Symmetric stable distributions compared to other symmetric long-tailed distributions. J. Amer. Statist. Assoc. 68 469-477.
    • (1973) J. Amer. Statist. Assoc , vol.68 , pp. 469-477
    • DUMOUCHEL, W.H.1
  • 7
    • 84950609340 scopus 로고
    • Stable distributions in statistical inference. II. Information from stably distributed samples
    • DUMOUCHEL, W. H. (1975). Stable distributions in statistical inference. II. Information from stably distributed samples. J. Amer. Statist. Assoc. 70 386-393.
    • (1975) J. Amer. Statist. Assoc , vol.70 , pp. 386-393
    • DUMOUCHEL, W.H.1
  • 8
    • 49449116037 scopus 로고
    • Asymptotically efficient estimation of location for a symmetric stable law
    • FENECH, A. P. (1976). Asymptotically efficient estimation of location for a symmetric stable law. Ann. Statist. 4 1088-1100.
    • (1976) Ann. Statist , vol.4 , pp. 1088-1100
    • FENECH, A.P.1
  • 9
    • 49449116038 scopus 로고    scopus 로고
    • FEUERVERGER, A. and MCDUNNOUGH, P. (1981). On efficient inference in symmetric stable laws and processes. In Statistics and Related Topics (M. Csörgocombining double acute accent, D. A. Dawson, J. N. K. Rao and A. K. Md. Ehsanes Saleh, eds.) 109-122. North-Holland, Amsterdam.
    • FEUERVERGER, A. and MCDUNNOUGH, P. (1981). On efficient inference in symmetric stable laws and processes. In Statistics and Related Topics (M. Csörgocombining double acute accent, D. A. Dawson, J. N. K. Rao and A. K. Md. Ehsanes Saleh, eds.) 109-122. North-Holland, Amsterdam.
  • 10
    • 0001893950 scopus 로고
    • On the efficiency of empirical characteristic function procedures
    • FEUERVERGER, A. and MCDUNNOUGH, P. (1981). On the efficiency of empirical characteristic function procedures. J. Roy. Statist. Soc. Ser. B 43 20-27.
    • (1981) J. Roy. Statist. Soc. Ser. B , vol.43 , pp. 20-27
    • FEUERVERGER, A.1    MCDUNNOUGH, P.2
  • 11
    • 38249023274 scopus 로고
    • Convergence of filtered statistical models and Hellinger processes
    • JACOD, J. (1989). Convergence of filtered statistical models and Hellinger processes. Stochastic Process. Appl. 32 47-68.
    • (1989) Stochastic Process. Appl , vol.32 , pp. 47-68
    • JACOD, J.1
  • 13
    • 49449103137 scopus 로고    scopus 로고
    • Local asymptotic normality of statistical models associated with discrete observations of Lévy processes
    • Technical report, Johannes Gutenberg Univ. Mainz
    • JEDIDI, W. (2001). Local asymptotic normality of statistical models associated with discrete observations of Lévy processes. Technical report, Johannes Gutenberg Univ. Mainz.
    • (2001)
    • JEDIDI, W.1
  • 14
    • 84893895320 scopus 로고
    • Regression-type estimation of the parameters of stable laws
    • KOUTROUVELIS, I. A. (1980). Regression-type estimation of the parameters of stable laws. J. Amer. Statist. Assoc. 75 918-928.
    • (1980) J. Amer. Statist. Assoc , vol.75 , pp. 918-928
    • KOUTROUVELIS, I.A.1
  • 15
    • 0042516049 scopus 로고    scopus 로고
    • Disentangling the jumps of the diffusion in a geometric jumping Brownian motion
    • MANCINI, C. (2001). Disentangling the jumps of the diffusion in a geometric jumping Brownian motion. Giornale dell'Istituto Italiano degli Attuari 64 19-47.
    • (2001) Giornale dell'Istituto Italiano degli Attuari , vol.64 , pp. 19-47
    • MANCINI, C.1
  • 16
    • 33747586747 scopus 로고    scopus 로고
    • Numerical calculation of stable densities and distribution functions. Heavy tails and highly volatile phenomena
    • NOLAN, J. P. (1997). Numerical calculation of stable densities and distribution functions. Heavy tails and highly volatile phenomena. Comm. Statist. Stochastic Models 13 759-774.
    • (1997) Comm. Statist. Stochastic Models , vol.13 , pp. 759-774
    • NOLAN, J.P.1
  • 17
    • 0007110193 scopus 로고    scopus 로고
    • Maximum likelihood estimation and diagnostics for stable distributions
    • O. E. Barndorff-Nielsen, T. Mikosch and S. I. Resnick, eds, Birkhäuser, Boston
    • NOLAN, J. P. (2001). Maximum likelihood estimation and diagnostics for stable distributions. In Lévy Processes: Theory and Applications (O. E. Barndorff-Nielsen, T. Mikosch and S. I. Resnick, eds.) 379-400. Birkhäuser, Boston.
    • (2001) Lévy Processes: Theory and Applications , pp. 379-400
    • NOLAN, J.P.1
  • 18
    • 0001646356 scopus 로고
    • Estimation in univariate and multivariate stable distributions
    • PRESS, S. J. (1972). Estimation in univariate and multivariate stable distributions. J. Amer. Statist. Assoc. 67 842-846.
    • (1972) J. Amer. Statist. Assoc , vol.67 , pp. 842-846
    • PRESS, S.J.1
  • 19
    • 0000807050 scopus 로고    scopus 로고
    • Estimation of affine asset pricing models using the empirical characteristic function
    • SINGLETON, K. (2001). Estimation of affine asset pricing models using the empirical characteristic function. J. Econometrics 102 111-141.
    • (2001) J. Econometrics , vol.102 , pp. 111-141
    • SINGLETON, K.1
  • 21
    • 49449083946 scopus 로고    scopus 로고
    • WOERNER, J. H. (2004). Power and multipower variation: Inference for high frequency data. Technical report, Univ. Göttingen.
    • WOERNER, J. H. (2004). Power and multipower variation: Inference for high frequency data. Technical report, Univ. Göttingen.
  • 22
    • 49449092066 scopus 로고    scopus 로고
    • Purely discontinuous Lévy processes and power variation: Inference for integrated volatility and the scale parameter
    • A. N. Shiryaev, M. R. Grosshino, P. Oliveira and M. Esquivel, eds, Springer, Berlin
    • WOERNER, J. H. (2006). Purely discontinuous Lévy processes and power variation: Inference for integrated volatility and the scale parameter. In Stochastic Finance (A. N. Shiryaev, M. R. Grosshino, P. Oliveira and M. Esquivel, eds.) 264-276. Springer, Berlin.
    • (2006) Stochastic Finance , pp. 264-276
    • WOERNER, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.