메뉴 건너뛰기




Volumn 62, Issue 1, 2010, Pages 161-187

Contrast-based information criterion for ergodic diffusion processes from discrete observations

Author keywords

Akaike's information criteria; Discrete time observation; Large deviation inequality; Malliavin calculus; Maximum contrast estimator; Model selection

Indexed keywords

DISCRETE TIME OBSERVATION; INFORMATION CRITERION; LARGE DEVIATIONS; MALLIAVIN CALCULUS; MODEL SELECTION;

EID: 77950690447     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/s10463-009-0245-1     Document Type: Article
Times cited : (41)

References (38)
  • 1
    • 23944449192 scopus 로고    scopus 로고
    • Sobolev spaces
    • 2nd ed. Amsterdam: Elsevier/Academic Press
    • Adams, R. A., Fournier, J. J. F. (2003). Sobolev spaces (2nd ed.). In Pure and Applied Mathematics (Vol. 140). Amsterdam: Elsevier/Academic Press.
    • (2003) Pure and Applied Mathematics , vol.140
    • Adams, R.A.1    Fournier, J.J.F.2
  • 2
    • 45749126907 scopus 로고    scopus 로고
    • Closed-form likelihood expansions for multivariate diffusions
    • Aït-Sahalia, Y. (2008). Closed-form likelihood expansions for multivariate diffusions. The Annals of Statistics, 36, 906-937.
    • (2008) The Annals of Statistics , vol.36 , pp. 906-937
    • Aït-Sahalia, Y.1
  • 3
    • 0000501656 scopus 로고
    • Information theory and an extension of the maximum likelihood principle
    • B. N. Petrov, F. Csaki (Eds.) Budapest: Akademiai Kaido
    • Akaike, H. (1973). Information theory and an extension of the maximum likelihood principle. In B. N. Petrov, F. Csaki (Eds.), 2nd international symposium in information theory, pp. 267-281. Budapest: Akademiai Kaido.
    • (1973) 2nd International Symposium in Information Theory , pp. 267-281
    • Akaike, H.1
  • 4
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • AC-19
    • Akaike, H. (1974). A new look at the statistical model identification. IEEE transactions on automatic control, AC-19, pp. 716-723.
    • (1974) IEEE Transactions on Automatic Control , pp. 716-723
    • Akaike, H.1
  • 6
    • 0000825215 scopus 로고
    • A general Akaike-type criterion for model selection in robust regression
    • Burman, P., Nolan, D. (1995). A general Akaike-type criterion for model selection in robust regression. Biometrika, 82, 877-886.
    • (1995) Biometrika , vol.82 , pp. 877-886
    • Burman, P.1    Nolan, D.2
  • 8
    • 84881079791 scopus 로고
    • Approximate discrete time schemes for statistics of diffusion processes
    • Florens-Zmirou, D. (1989). Approximate discrete time schemes for statistics of diffusion processes. Statistics, 20, 547-557.
    • (1989) Statistics , vol.20 , pp. 547-557
    • Florens-Zmirou, D.1
  • 10
    • 0009936666 scopus 로고    scopus 로고
    • Local asymptotic mixed normality property for elliptic diffusion: A Malliavin calculus approach
    • Gobet, E. (2001). Local asymptotic mixed normality property for elliptic diffusion: a Malliavin calculus approach. Bernoulli, 7, 899-912.
    • (2001) Bernoulli , vol.7 , pp. 899-912
    • Gobet, E.1
  • 12
    • 0000386264 scopus 로고
    • Akaike's information criterion and Kullback-Leibler loss for histogram density estimation
    • Hall, P. (1990). Akaike's information criterion and Kullback-Leibler loss for histogram density estimation. Probability Theory and Related Fields, 85, 449-467.
    • (1990) Probability Theory and Related Fields , vol.85 , pp. 449-467
    • Hall, P.1
  • 14
    • 51249190958 scopus 로고
    • The weak convergence of likelihood ratio random fields and its applications
    • Inagaki, N., Ogata, Y. (1975). The weak convergence of likelihood ratio random fields and its applications. Annals of the Institute of Statistical Mathematics, 27, 391-419.
    • (1975) Annals of the Institute of Statistical Mathematics , vol.27 , pp. 391-419
    • Inagaki, N.1    Ogata, Y.2
  • 15
    • 33846087930 scopus 로고    scopus 로고
    • Parametric inference for discretely observed non-ergodic diffusions
    • Jacod, J. (2006). Parametric inference for discretely observed non-ergodic diffusions. Bernoulli, 12, 383-401.
    • (2006) Bernoulli , vol.12 , pp. 383-401
    • Jacod, J.1
  • 16
    • 0040360923 scopus 로고    scopus 로고
    • Estimation of an ergodic diffusion from discrete observations
    • Kessler, M. (1997). Estimation of an ergodic diffusion from discrete observations. Scandinavian Journal of Statistics, 24, 211-229. (Pubitemid 127361582)
    • (1997) Scandinavian Journal of Statistics , vol.24 , Issue.2 , pp. 211-229
    • Kessler, M.1
  • 18
    • 0000512689 scopus 로고    scopus 로고
    • Generalised information criteria in model selection
    • Konishi, S., Kitagawa, G. (1996). Generalised information criteria in model selection. Biometrika, 83, 875-890.
    • (1996) Biometrika , vol.83 , pp. 875-890
    • Konishi, S.1    Kitagawa, G.2
  • 20
    • 0000254487 scopus 로고
    • Stochastic differential equations and stochastic flows of diffeomorphisms
    • Lecture Notes in Mathematics Berlin: Springer
    • Kunita, H. (1984). Stochastic differential equations and stochastic flows of diffeomorphisms. Ecole d'eté de probabilités de Saint-Flour, XII - 1982, Lecture Notes in Mathematics (Vol. 1097) (pp. 143-303). Berlin: Springer.
    • (1984) Ecole d'eté de probabilités de Saint-Flour, XII - 1982 , vol.1097 , pp. 143-303
    • Kunita, H.1
  • 24
    • 0035565829 scopus 로고    scopus 로고
    • On the Poisson equation and diffusion approximation 1
    • Pardoux, E., Veretennikov, A. Y. (2001). On the Poisson equation and diffusion approximation 1. The Annals of Probability, 29, 1061-1085.
    • (2001) The Annals of Probability , vol.29 , pp. 1061-1085
    • Pardoux, E.1    Veretennikov, A.Y.2
  • 26
    • 0006599335 scopus 로고
    • Statistical inference from sampled data for stochastic processes
    • Providence, RI: American Mathematical Society
    • Prakasa Rao, B. L. S. (1988). Statistical inference from sampled data for stochastic processes. Contemporary Mathematics (Vol. 80, pp. 249-284). Providence, RI: American Mathematical Society.
    • (1988) Contemporary Mathematics , vol.80 , pp. 249-284
    • Prakasa Rao, B.L.S.1
  • 27
    • 10444228627 scopus 로고    scopus 로고
    • Asymptotic expansion formulas for functionals ofε Markov processes with a mixing property
    • Sakamoto, Y., Yoshida, N. (2004). Asymptotic expansion formulas for functionals of ε Markov processes with a mixing property. Annals of the Institute of Statistical Mathematics, 56, 545-597.
    • (2004) Annals of the Institute of Statistical Mathematics , vol.56 , pp. 545-597
    • Sakamoto, Y.1    Yoshida, N.2
  • 28
    • 33947265186 scopus 로고    scopus 로고
    • Bayesian prediction and model selection for locally asymptotically mixed normal models
    • Sei, T., Komaki, F. (2007). Bayesian prediction and model selection for locally asymptotically mixed normal models. Journal of Statistical Planning and Inference, 137, 2523-2534.
    • (2007) Journal of Statistical Planning and Inference , vol.137 , pp. 2523-2534
    • Sei, T.1    Komaki, F.2
  • 29
    • 85027186089 scopus 로고
    • Selection of the order of an autoregressive model by Akaike's information criterion
    • Shibata, R. (1976). Selection of the order of an autoregressive model by Akaike's information criterion. Biometrika, 63, 117-126.
    • (1976) Biometrika , vol.63 , pp. 117-126
    • Shibata, R.1
  • 30
    • 0001930912 scopus 로고
    • Distribution of information statistics and criteria for adequacy of models
    • in Japanese
    • Takeuchi, K. (1976). Distribution of information statistics and criteria for adequacy of models. Mathematical Sciences, 153, 12-18 (in Japanese).
    • (1976) Mathematical Sciences , vol.153 , pp. 12-18
    • Takeuchi, K.1
  • 32
    • 11844250342 scopus 로고    scopus 로고
    • Information criteria for small diffusions via the theory of Malliavin-Watanabe
    • Uchida, M., Yoshida, N. (2004). Information criteria for small diffusions via the theory of Malliavin-Watanabe. Statistical Inference for Stochastic Processes, 7, 35-67.
    • (2004) Statistical Inference for Stochastic Processes , vol.7 , pp. 35-67
    • Uchida, M.1    Yoshida, N.2
  • 33
    • 77950689921 scopus 로고    scopus 로고
    • Asymptotic expansion and information criteria
    • Uchida, M., Yoshida, N. (2006). Asymptotic expansion and information criteria. SUT Journal of Mathematics, 42, 31-58.
    • (2006) SUT Journal of Mathematics , vol.42 , pp. 31-58
    • Uchida, M.1    Yoshida, N.2
  • 34
    • 0000431807 scopus 로고
    • Asymptotic expansion of maximum likelihood estimators for small diffusions via the theory of Malliavin-Watanabe
    • Yoshida, N. (1992a). Asymptotic expansion of maximum likelihood estimators for small diffusions via the theory of Malliavin-Watanabe. Probability Theory and Related Fields, 92, 275-311.
    • (1992) Probability Theory and Related Fields , vol.92 , pp. 275-311
    • Yoshida, N.1
  • 35
    • 0000574485 scopus 로고
    • Estimation for diffusion processes from discrete observation
    • Yoshida, N. (1992b). Estimation for diffusion processes from discrete observation. Journal of Multivariate Analysis, 41, 220-242.
    • (1992) Journal of Multivariate Analysis , vol.41 , pp. 220-242
    • Yoshida, N.1
  • 36
    • 0038911472 scopus 로고    scopus 로고
    • Malliavin calculus and asymptotic expansion for martingales
    • DOI 10.1007/s004400050134
    • Yoshida, N. (1997) Malliavin calculus and asymptotic expansion for martingales. Probability Theory and Related Fields, 109, 301-342. (Pubitemid 127148339)
    • (1997) Probability Theory and Related Fields , vol.109 , Issue.3 , pp. 301-342
    • Yoshida, N.1
  • 37
  • 38
    • 77950689086 scopus 로고    scopus 로고
    • Polynomial type large deviation inequalities and quasi-likelihood analysis for stochastic differential equations
    • to appear in
    • Yoshida, N. (2005). Polynomial type large deviation inequalities and quasi-likelihood analysis for stochastic differential equations (to appear in Annals of the Institute of Statistical Mathematics).
    • (2005) Annals of the Institute of Statistical Mathematics
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.