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Volumn 41A, Issue , 2004, Pages 99-118

Estimation for discretely observed diffusions using transform functions

Author keywords

Affine diffusion process; Discretely observed diffusion; Estimation; Transformation function

Indexed keywords


EID: 33747742832     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1082552193     Document Type: Article
Times cited : (16)

References (39)
  • 1
    • 0036216388 scopus 로고    scopus 로고
    • Maximum likelihood estimation of discretely sampled diffusions: A closed-form approximation approach
    • Ait-Sahalia, Y. (2002). Maximum likelihood estimation of discretely sampled diffusions: a closed-form approximation approach. Econometrica 70, 223-262.
    • (2002) Econometrica , vol.70 , pp. 223-262
    • Ait-Sahalia, Y.1
  • 2
    • 21344476124 scopus 로고
    • A review of some aspects of asymptotic likelihood theory for stochastic processes
    • Barndorff-Nielsen, O. and Sorensen, M. (1994). A review of some aspects of asymptotic likelihood theory for stochastic processes. Internat. Statist. Rev. 62, 133-165.
    • (1994) Internat. Statist. Rev. , vol.62 , pp. 133-165
    • Barndorff-Nielsen, O.1    Sorensen, M.2
  • 4
    • 84972534141 scopus 로고
    • Martingale estimation functions for discretely observed diffusion processes
    • Bibby, B. M. and Sorensen, 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    Sorensen, M.2
  • 5
    • 0002166622 scopus 로고    scopus 로고
    • On estimation for discretely observed diffusions: A review
    • Bibby, B. M. and Sorensen, M. (1996). On estimation for discretely observed diffusions: a review. Theory Stoch. Process. 2, 49-56.
    • (1996) Theory Stoch. Process. , vol.2 , pp. 49-56
    • Bibby, B.M.1    Sorensen, M.2
  • 6
    • 10244256022 scopus 로고    scopus 로고
    • Estimating functions for discretely sampled diffusiontype models
    • edsY. Ait-Sahalia and L. P. Hansen, North Holland, Amsterdam
    • Bibby, B. M., Jacobsen, M. and Sorensen, M. (2003). Estimating functions for discretely sampled diffusiontype models. To appearin Handbook of Financial Economics, edsY. Ait-Sahalia and L. P. Hansen, North Holland, Amsterdam.
    • (2003) To Appearin Handbook of Financial Economics
    • Bibby, B.M.1    Jacobsen, M.2    Sorensen, M.3
  • 7
    • 0036149169 scopus 로고    scopus 로고
    • Simulated likelihood estimation of diffusions with application to exchange rate dynamics in incomplete markets
    • Brandt, M. and Santa-Clara, P. (2001). Simulated likelihood estimation of diffusions with application to exchange rate dynamics in incomplete markets. J. Financial Econom. 63, 161-210.
    • (2001) J. Financial Econom. , vol.63 , pp. 161-210
    • Brandt, M.1    Santa-Clara, P.2
  • 9
    • 0001700428 scopus 로고
    • Estimation of the coefficients of a diffusion from discrete observations
    • Dacunha-Castelle, D. and Florens-Zmirou, D. (1986). Estimation of the coefficients of a diffusion from discrete observations. Stochastics 19, 263-284.
    • (1986) Stochastics , vol.19 , pp. 263-284
    • Dacunha-Castelle, D.1    Florens-Zmirou, D.2
  • 10
    • 0003084740 scopus 로고
    • The consistency of an estimate of a parameter of a stochastic differential equation
    • Dorogovcev, A. J. (1976). The consistency of an estimate of a parameter of a stochastic differential equation. Theory Prob. Math. Statist. 10, 73-82.
    • (1976) Theory Prob. Math. Statist. , vol.10 , pp. 73-82
    • Dorogovcev, A.J.1
  • 11
    • 0040713365 scopus 로고
    • (Lecture Notes Statist. 85). Springer, New York
    • Doukhan, P. (1994). Mixing (Lecture Notes Statist. 85). Springer, New York.
    • (1994) Mixing
    • Doukhan, P.1
  • 12
    • 0002297676 scopus 로고
    • The functional central limit theorem for strongly mixing processes
    • Doukhan, P., Massart, P. and Rio, E. (1994). The functional central limit theorem for strongly mixing processes. Ann. Inst. H. Poincare Prob. Statist. 30, 63-82.
    • (1994) Ann. Inst. H. Poincare Prob. Statist. , vol.30 , pp. 63-82
    • Doukhan, P.1    Massart, P.2    Rio, E.3
  • 13
    • 0000440935 scopus 로고    scopus 로고
    • Likelihood inference for discretely observed non-linear diffusions
    • Elerain, O., Chib, S. and Shepard, N. (2001). Likelihood inference for discretely observed non-linear diffusions. Econometrica 69, 959-993.
    • (2001) Econometrica , vol.69 , pp. 959-993
    • Elerain, O.1    Chib, S.2    Shepard, N.3
  • 14
    • 0035586814 scopus 로고    scopus 로고
    • MCMC analysis of diffusion models with application to finance
    • Eraker, B. (2001). MCMC analysis of diffusion models with application to finance. J. Business Econom. Statist. 19, 177-191.
    • (2001) J. Business Econom. Statist. , vol.19 , pp. 177-191
    • Eraker, B.1
  • 15
    • 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. Stochastics 20, 547-557.
    • (1989) Stochastics , vol.20 , pp. 547-557
    • Florens-Zmirou, D.1
  • 17
    • 0003215606 scopus 로고    scopus 로고
    • Stochastic volatility models as hidden Markov models and statistical applications
    • Genon-Catalot, V., Jeantheau, T. and Laredo, 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    Laredo, C.3
  • 18
    • 0000390402 scopus 로고
    • Quasi-likelihood and optimal estimation
    • Godambe, V. P. and Heyde, C. C. (1987). Quasi-likelihood and optimal estimation. Internat. Statist. Rev. 55, 231-244.
    • (1987) Internat. Statist. Rev. , vol.55 , pp. 231-244
    • Godambe, V.P.1    Heyde, C.C.2
  • 20
    • 0000414660 scopus 로고
    • Large sample properties of the generalized method of moments
    • Hansen, L. P. (1982). Large sample properties of the generalized method of moments. Econometrica 50, 1029-1054.
    • (1982) Econometrica , vol.50 , pp. 1029-1054
    • Hansen, L.P.1
  • 23
    • 85016660810 scopus 로고    scopus 로고
    • Transition densities of diffusion processes: Numerical comparison of approximation techniques
    • Jensen, B. and Poulsen, R. (2002). Transition densities of diffusion processes: numerical comparison of approximation techniques. J. Derivatives 9, No. 4, 18-32.
    • (2002) J. Derivatives , vol.9 , Issue.4 , pp. 18-32
    • Jensen, B.1    Poulsen, R.2
  • 25
    • 0040360923 scopus 로고    scopus 로고
    • Estimation of an ergodic diffusionfromdiscrete observations
    • Kessler, M. (1997). Estimation of an ergodic diffusionfromdiscrete observations. Scand. J. Statist. 24,211-229.
    • (1997) Scand. J. Statist. , vol.24 , pp. 211-229
    • Kessler, M.1
  • 26
    • 0000647626 scopus 로고    scopus 로고
    • Estimating equations based on eigenfunctions for a discretely observed diffusion process
    • Kessler, M. and Sorensen, M. (1999). Estimating equations based on eigenfunctions for a discretely observed diffusion process. Bernoulli 5, 299-314.
    • (1999) Bernoulli , vol.5 , pp. 299-314
    • Kessler, M.1    Sorensen, M.2
  • 28
    • 0030371835 scopus 로고    scopus 로고
    • On effects of discretization on estimators of drift parameters for diffusion processes
    • Kloeden, P. E., Platen, E., Schurz, H. and Sorensen, M. (1996). On effects of discretization on estimators of drift parameters for diffusion processes. J. Appl. Prob. 33, 1061-1076.
    • (1996) J. Appl. Prob. , vol.33 , pp. 1061-1076
    • Kloeden, P.E.1    Platen, E.2    Schurz, H.3    Sorensen, M.4
  • 31
    • 0001533096 scopus 로고    scopus 로고
    • Balanced implicit methods for stiff stochastic systems
    • Milstein, G. N., Platen, E. and Schurz, H. (1998). Balanced implicit methods for stiff stochastic systems. SIAM J. Numerical Analysis 35, 1010-1019.
    • (1998) SIAM J. Numerical Analysis , vol.35 , pp. 1010-1019
    • Milstein, G.N.1    Platen, E.2    Schurz, H.3
  • 32
    • 0002841968 scopus 로고
    • Anew approachto maximumlikelihood estimationforstochastic differential equations based on discrete observations
    • Pedersen, A. R. (1995).Anew approachto maximumlikelihood estimationforstochastic differential equations based on discrete observations. Scand. J. Statist. 22, 55-71.
    • (1995) Scand. J. Statist. , vol.22 , pp. 55-71
    • Pedersen, A.R.1
  • 34
    • 0006599335 scopus 로고
    • Statistical inference from sampled data for stochastic processes
    • Prakasa Rao, B.L.S. (1988). Statistical inference from sampled data for stochastic processes. Contemp. Math. 80, 249-284.
    • (1988) Contemp. Math. , vol.80 , pp. 249-284
    • Prakasa Rao, B.L.S.1
  • 36
    • 0035285792 scopus 로고    scopus 로고
    • Discretely observed diffusions: Approximation of the continuous-time score function
    • Sorensen, H. (2001). Discretely observed diffusions: approximation of the continuous-time score function. Scand. J. Statist. 28, 113-121.
    • (2001) Scand. J. Statist. , vol.28 , pp. 113-121
    • Sorensen, H.1
  • 37
    • 0000475705 scopus 로고    scopus 로고
    • Estimating functions for discretely observed diffusions: A review
    • (IMS Lecture Notes Monogr. Ser. 32), eds I. V. Basawa, V. P. Godambe and R. L. Taylor, Institute of Mathematical Statistics, Hayward, CA
    • Sorensen, M. (1997). Estimating functions for discretely observed diffusions: a review. In Selected Proc. of the Symp. on Estimating Functions (IMS Lecture Notes Monogr. Ser. 32), eds I. V. Basawa, V. P. Godambe and R. L. Taylor, Institute of Mathematical Statistics, Hayward, CA, pp. 305-325.
    • (1997) Selected Proc. of the Symp. On Estimating Functions , pp. 305-325
    • Sorensen, M.1
  • 38
    • 0011425031 scopus 로고    scopus 로고
    • On asymptotics of estimating functions
    • Sorensen, M. (1999). On asymptotics of estimating functions. Brazilian J. Prob. Statist. 13, 111-136.
    • (1999) Brazilian J. Prob. Statist. , vol.13 , pp. 111-136
    • Sorensen, M.1
  • 39
    • 0000953249 scopus 로고    scopus 로고
    • Prediction based estimating functions
    • Sorensen, M. (2000). Prediction based estimating functions. J. Econometrics 3, 123-147.
    • (2000) J. Econometrics , vol.3 , pp. 123-147
    • Sorensen, M.1


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