메뉴 건너뛰기




Volumn 31, Issue 3, 2004, Pages 417-429

Inference for observations of integrated diffusion processes

Author keywords

Asymptotic normality; Consistency; Cox Ingersoll Ross model; Estimating equation; Ice core data; Non Markovian process; Ornstein Uhlenbeck process; Prediction based estimating functions; Quasi likelihood; Stochastic differential equation

Indexed keywords


EID: 4043148626     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2004.02_023.x     Document Type: Article
Times cited : (58)

References (29)
  • 1
    • 0005880209 scopus 로고    scopus 로고
    • Answering the skeptics: Yes, standard volatility models do provide accurate forecasts
    • Andersen, T. G. & Bollerslev, T. (1998). Answering the skeptics: yes, standard volatility models do provide accurate forecasts. Int. Econ. Rev. 39, 885-905.
    • (1998) Int. Econ. Rev. , vol.39 , pp. 885-905
    • Andersen, T.G.1    Bollerslev, T.2
  • 3
    • 0035648379 scopus 로고    scopus 로고
    • Non-gaussian Ornstein-uhlenbeck-based models and some of their uses in financial econometrics (with discussion)
    • Barndorff-Nielsen, O. E. & Shepard, N. (2001). Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial econometrics (with discussion). J. Roy. Statist. Soc. Ser. B 63, 167-241.
    • (2001) J. Roy. Statist. Soc. Ser. B , vol.63 , pp. 167-241
    • Barndorff-Nielsen, O.E.1    Shepard, N.2
  • 4
    • 84972534141 scopus 로고
    • Martingale estimation functions for discretely observed diffusion processes
    • Bibby, B. M. & Sørensen, M. (1995). Martingale estimation functions for discretely observed diffusion processes. Bernoulli 1, 17-39.
    • (1995) Bernoulli , vol.1 , pp. 17-39
    • Bibby, B.M.1    Sørensen, M.2
  • 5
    • 0002314533 scopus 로고    scopus 로고
    • A hyperbolic diffusion model for stock prices
    • Bibby, B. M. & Sørensen, M. (1997). A hyperbolic diffusion model for stock prices. Finance Stoch. 1, 25-41.
    • (1997) Finance Stoch. , vol.1 , pp. 25-41
    • Bibby, B.M.1    Sørensen, M.2
  • 6
    • 0035529545 scopus 로고    scopus 로고
    • Simplified estimating functions for diffusion models with a high-dimensional parameter
    • Bibby, B. M. & Sørensen, M. (2001). Simplified estimating functions for diffusion models with a high-dimensional parameter. Scand. J. Statist. 28, 99-112.
    • (2001) Scand. J. Statist. , vol.28 , pp. 99-112
    • Bibby, B.M.1    Sørensen, M.2
  • 8
    • 0001205798 scopus 로고
    • A theory of the term structure of interest rates
    • Cox, J. C., Ingersoll, J. E. & Ross, S. A. (1985). A theory of the term structure of interest rates. Econometrica 53, 385-407.
    • (1985) Econometrica , vol.53 , pp. 385-407
    • Cox, J.C.1    Ingersoll, J.E.2    Ross, S.A.3
  • 9
    • 12244284604 scopus 로고    scopus 로고
    • The fast climate fluctuations during the stadial and interstadial climate states
    • Ditlevsen, P. D., Ditlevsen, S. & Andersen, K. K. (2002). The fast climate fluctuations during the stadial and interstadial climate states. Ann. Glacial. 35, 457-462.
    • (2002) Ann. Glacial. , vol.35 , pp. 457-462
    • Ditlevsen, P.D.1    Ditlevsen, S.2    Andersen, K.K.3
  • 10
    • 0003614268 scopus 로고
    • Lecture Notes in Statistics,. Springer, New York
    • Doukhan, P. (1994). Mixing, properties and examples. Lecture Notes in Statistics, Vol. 85. Springer, New York.
    • (1994) Mixing, Properties and Examples , vol.85
    • Doukhan, P.1
  • 11
    • 0002297676 scopus 로고
    • The functional central limit theorem for strongly mixing processes
    • Doukhan, P., Massart, P. & Rio, E. (1994). The functional central limit theorem for strongly mixing processes. Ann. Inst. Henri Poincaré 30, 63-82.
    • (1994) Ann. Inst. Henri Poincaré , vol.30 , pp. 63-82
    • Doukhan, P.1    Massart, P.2    Rio, E.3
  • 13
    • 0000808770 scopus 로고    scopus 로고
    • Parameter estimation for discretely observed stochastic volatility models
    • Genon-Catalot, V., Jeantheau, T. & Larédo, C. (1999). Parameter estimation for discretely observed stochastic volatility models. Bernoulli 5, 855-872.
    • (1999) Bernoulli , vol.5 , pp. 855-872
    • Genon-Catalot, V.1    Jeantheau, T.2    Larédo, C.3
  • 14
    • 0003215606 scopus 로고    scopus 로고
    • Stochastic volatility models as hidden Markov models and statistical applications
    • Genon-Catalot, V., Jeantheau, T. & Larédo, C. (2000). Stochastic volatility models as hidden Markov models and statistical applications. Bernoulli 6, 1051-1079.
    • (2000) Bernoulli , vol.6 , pp. 1051-1079
    • Genon-Catalot, V.1    Jeantheau, T.2    Larédo, C.3
  • 17
    • 0348238317 scopus 로고    scopus 로고
    • Parameter estimation for a discrete sampling of an integrated Ornstein-uhlenbeck process
    • Gloter, A. (2000). Parameter estimation for a discrete sampling of an integrated Ornstein-Uhlenbeck process. Statistics 35, 225-243.
    • (2000) Statistics , vol.35 , pp. 225-243
    • Gloter, A.1
  • 18
    • 0000390402 scopus 로고
    • Quasi likelihood and optimal estimation
    • Godambe, V. P. & Heyde. C. C. (1987). Quasi likelihood and optimal estimation. Int. Statist. Rev. 55, 231-244.
    • (1987) Int. Statist. Rev. , vol.55 , pp. 231-244
    • Godambe, V.P.1    Heyde, C.C.2
  • 19
    • 0029182376 scopus 로고
    • Back to the future: Generating moment implications for continuous-time Markov processes
    • Hansen, L. P. & Scheinkman, J. A. (1995). Back to the future: generating moment implications for continuous-time Markov processes. Econometrica 63, 767-804.
    • (1995) Econometrica , vol.63 , pp. 767-804
    • Hansen, L.P.1    Scheinkman, J.A.2
  • 21
    • 0034419862 scopus 로고    scopus 로고
    • Malliavin calculus, geometric mixing, and expansion of diffusion functionals
    • Kusuoka, S. & Yoshida, N. (2000). Malliavin calculus, geometric mixing, and expansion of diffusion functionals. Probab. Theory Rel. Fields 116 457-484.
    • (2000) Probab. Theory Rel. Fields , vol.116 , pp. 457-484
    • Kusuoka, S.1    Yoshida, N.2
  • 22
    • 0034336052 scopus 로고    scopus 로고
    • Estimating the nitrous oxide emission rate from the soil surface by means of a diffusion model
    • Pedersen, A. R. (2000). Estimating the nitrous oxide emission rate from the soil surface by means of a diffusion model. Scand. J. Statist. 27, 385-403.
    • (2000) Scand. J. Statist. , vol.27 , pp. 385-403
    • Pedersen, A.R.1
  • 23
    • 21844506631 scopus 로고
    • Consistent and asymptotically normal parameter estimates for hidden Markov models
    • Rydén, T. (1994). Consistent and asymptotically normal parameter estimates for hidden Markov models. Ann. Statist. 22, 1884-1895.
    • (1994) Ann. Statist. , vol.22 , pp. 1884-1895
    • Rydén, T.1
  • 24
    • 0000475705 scopus 로고    scopus 로고
    • Estimating functions for discretely observed diffusions: A review
    • (eds I. V. Basawa, V. P. Godambe & R. L. Taylor) IMS Lecture Notes - Monograph Series,. Institute of Mathematical Statistics, Hayward
    • Sørensen, M. (1997). Estimating functions for discretely observed diffusions: a review. In Selected Proceedings of the Symposium on Estimating Functions (eds I. V. Basawa, V. P. Godambe & R. L. Taylor) IMS Lecture Notes - Monograph Series, Vol. 32, 305-325. Institute of Mathematical Statistics, Hayward.
    • (1997) Selected Proceedings of the Symposium on Estimating Functions , vol.32 , pp. 305-325
    • Sørensen, M.1
  • 25
    • 0011425031 scopus 로고    scopus 로고
    • On asymptotics of estimating functions
    • Sørensen, M. (1999). On asymptotics of estimating functions. Braz. J. Probab. Statist. 13, 111-136.
    • (1999) Braz. J. Probab. Statist. , vol.13 , pp. 111-136
    • Sørensen, M.1
  • 26
    • 0000953249 scopus 로고    scopus 로고
    • Prediction-based estimating functions
    • Sørensen, M. (2000). Prediction-based estimating functions. Econometr. J. 3, 123-147.
    • (2000) Econometr. J. , vol.3 , pp. 123-147
    • Sørensen, M.1
  • 27
    • 0000342149 scopus 로고
    • Bounds for the mixing rate in the theory of stochastic equations
    • Veretennikov, A. Yu. (1987). Bounds for the mixing rate in the theory of stochastic equations. Theory Probab. Appl. 32. 273-281.
    • (1987) Theory Probab. Appl. , vol.32 , pp. 273-281
    • Veretennikov, A.Yu.1
  • 28
    • 4043075460 scopus 로고
    • On rate of mixing and the averaging principle for hypoelliptic stochastic differential, equations
    • Veretennikov, A. Yu. (1989). On rate of mixing and the averaging principle for hypoelliptic stochastic differential, equations. Math. USSR Izvestiya 33, 221-231.
    • (1989) Math. USSR Izvestiya , vol.33 , pp. 221-231
    • Veretennikov, A.Yu.1
  • 29
    • 0031256573 scopus 로고    scopus 로고
    • On polynomial mixing bounds for stochastic differential equations
    • Veretennikov, A. Yu. (1997). On polynomial mixing bounds for stochastic differential equations. Stoch. Proc. Appl. 70, 115-127.
    • (1997) Stoch. Proc. Appl. , vol.70 , pp. 115-127
    • Veretennikov, A.Yu.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.