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Volumn 7, Issue 2, 2001, Pages 243-266

The information in the marginal law of a Markov chain

Author keywords

Discretely observed diffusion; Efficient estimator; Ergodic markov chain

Indexed keywords


EID: 0742267091     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318738     Document Type: Article
Times cited : (10)

References (32)
  • 1
    • 84972534141 scopus 로고
    • Martingale estimating functions for discretely observed diffusion processes
    • Bibby, B.M. and Sorensen, M. (1995) Martingale estimating functions for discretely observed diffusion processes. Bernoulli, 1, 17-39.
    • (1995) Bernoulli , vol.1 , pp. 17-39
    • Bibby, B.M.1    Sorensen, M.2
  • 2
    • 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 Stochastic Process., 18(2), 49-56.
    • (1996) Theory Stochastic Process. , vol.18 , Issue.2 , pp. 49-56
    • Bibby, B.M.1    Sorensen, M.2
  • 3
    • 0002314533 scopus 로고    scopus 로고
    • A hyperbolic diffusion model for stock prices
    • Bibby, B.M. and Sorensen, M. (1997) A hyperbolic diffusion model for stock prices. Finance Stochaslics, 1, 25-41.
    • (1997) Finance Stochaslics , vol.1 , pp. 25-41
    • Bibby, B.M.1    Sorensen, M.2
  • 5
    • 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
  • 6
    • 0000529797 scopus 로고
    • On the estimation of the diffusion coefficient for multi-dimensional diffusion processes
    • Genon-Catalot, V and Jacod, J. (1993) On the estimation of the diffusion coefficient for multi-dimensional diffusion processes. Ann. Inst. H. Poincaré Probab. Statist., 29, 119-151.
    • (1993) Ann. Inst. H. Poincaré Probab. Statist. , vol.29 , pp. 119-151
    • Genon-Catalot, V.1    Jacod, J.2
  • 7
    • 0000282259 scopus 로고
    • The central limit theorem for stationary processes. 'Soviet Math
    • Gordin, M.I. (1969) The central limit theorem for stationary processes. 'Soviet Math. Dokl., 10, 1174-1176.
    • (1969) Dokl. , vol.10 , pp. 1174-1176
    • Gordin, M.I.1
  • 8
    • 0001488656 scopus 로고
    • The central limit theorem for stationary Markov processes
    • Gordin, M.I. and Lifsic, B.A. (1978) The central limit theorem for stationary Markov processes. Soviet Math. Dokl., 19, 392-394.
    • (1978) Soviet Math. Dokl. , vol.19 , pp. 392-394
    • Gordin, M.I.1    Lifsic, B.A.2
  • 9
    • 0007291856 scopus 로고    scopus 로고
    • Reversible Markov chains and optimality of symmetrized empirical estimators
    • Greenwood, P.E. and Wefelmeyer, W. (1999) Reversible Markov chains and optimality of symmetrized empirical estimators. Bernoulli, 5, 109-123.
    • (1999) Bernoulli , vol.5 , pp. 109-123
    • Greenwood, P.E.1    Wefelmeyer, W.2
  • 10
    • 0001431171 scopus 로고
    • A characterization of limiting distributions of regular estimates
    • Hâjek, J. (1970) A characterization of limiting distributions of regular estimates. Z. Wahrscheinlichkeitstheorie Venv. Geb., 14, 323-330.
    • (1970) Z. Wahrscheinlichkeitstheorie Venv. Geb. , vol.14 , pp. 323-330
    • Hâjek, J.1
  • 11
    • 21144467253 scopus 로고
    • On statistics of Markov step processes: Representation of log-likelihood ratio processes in filtered local models
    • Höpfner, R. (1993a) On statistics of Markov step processes: representation of log-likelihood ratio processes in filtered local models. Probab. Theory Related Fields, 94, 375-398.
    • (1993) Probab. Theory Related Fields , vol.94 , pp. 375-398
    • Höpfner, R.1
  • 12
    • 38248998648 scopus 로고
    • Asymptotic inference for Markov step processes: Observation up to a random time
    • Höpfner, R. (1993b) Asymptotic inference for Markov step processes: observation up to a random time. Stochastic Process. Appl., 48, 295-310.
    • (1993) Stochastic Process. Appl. , vol.48 , pp. 295-310
    • Höpfner, R.1
  • 13
    • 0001661804 scopus 로고
    • Local asymptotic normality and mixed normality for Markov statistical models
    • Höpfner, R., Jacod, J. and Ladelli, L. (1990) Local asymptotic normality and mixed normality for Markov statistical models. Probab. Theory Related Fields, 86, 105-129.
    • (1990) Probab. Theory Related Fields , vol.86 , pp. 105-129
    • Höpfner, R.1    Jacod, J.2    Ladelli, L.3
  • 14
    • 0038876647 scopus 로고
    • Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space
    • Kartashov, N.V (1985a) Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Theory Probab. Math. Statist., 30, 71-89.
    • (1985) Theory Probab. Math. Statist. , vol.30 , pp. 71-89
    • Kartashov, N.V.1
  • 15
    • 0040061152 scopus 로고
    • Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I
    • Kartashov, N.V (1985b) Inequalities in theorems of ergodicity and stability for Markov chains with common phase space. I. Theory Probab. Appl., 30, 247-259.
    • (1985) Theory Probab. Appl. , vol.30 , pp. 247-259
    • Kartashov, N.V.1
  • 17
    • 33749858893 scopus 로고
    • Martingale estimating functions for a Markov chain
    • Kessler, M. (1995) Martingale estimating functions for a Markov chain. Preprint.
    • (1995) Preprint.
    • Kessler, M.1
  • 18
    • 0040360923 scopus 로고    scopus 로고
    • Estimation of an ergodic diffusion from discrete observations
    • Kessler, M. (1997) Estimation of an ergodic diffusion from discrete observations. Scand. J. Statist., 24, 211-229.
    • (1997) Scand. J. Statist. , vol.24 , pp. 211-229
    • Kessler, M.1
  • 19
    • 0034340736 scopus 로고    scopus 로고
    • Simple and explicit estimating functions for a discretely observed diffusion process
    • Kessler, M. (2000) Simple and explicit estimating functions for a discretely observed diffusion process. Scand. J. Statist., 27, 65-82.
    • (2000) Scand. J. Statist. , vol.27 , pp. 65-82
    • Kessler, M.1
  • 20
    • 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
  • 21
    • 0001012926 scopus 로고
    • On continuous and discrete sampling for parameter estimation in diffusion type processes
    • Le Breton, A. (1976) On continuous and discrete sampling for parameter estimation in diffusion type processes. Math. Programming Stud., 5, 124-144.
    • (1976) Math. Programming Stud. , vol.5 , pp. 124-144
    • Le Breton, A.1
  • 23
    • 0002841968 scopus 로고
    • A new approach to maximum likelihood estimation for stochastic differential equations based on discrete observations
    • Pedersen, A.R. (1995a) A new approach to maximum likelihood estimation for stochastic 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
  • 24
    • 84972530323 scopus 로고
    • Consistency and asymptotic normality of an approximate maximum likelihood estimator for discretely observed diffusion processes
    • Pedersen, A.R. (1995b) Consistency and asymptotic normality of an approximate maximum likelihood estimator for discretely observed diffusion processes. Bernoulli, 1, 257-279.
    • (1995) Bernoulli , vol.1 , pp. 257-279
    • Pedersen, A.R.1
  • 25
    • 0001760069 scopus 로고
    • Efficient estimation of the stationary distribution for exponentially ergodic Markov chains
    • Penev, S. (1991) Efficient estimation of the stationary distribution for exponentially ergodic Markov chains. J. Statist. Plann. Inference, 27, 105-123.
    • (1991) J. Statist. Plann. Inference , vol.27 , pp. 105-123
    • Penev, S.1
  • 26
    • 33749861797 scopus 로고
    • Stability of nonparametric procedures against dependence
    • Penev, S. (1993) Stability of nonparametric procedures against dependence. Theory Probab. Appl., 37, 353-355.
    • (1993) Theory Probab. Appl. , vol.37 , pp. 353-355
    • Penev, S.1
  • 27
    • 33749821789 scopus 로고
    • Contributions to a General Asymptotic Statistical Theory, Lecture Notes in Statist. 13
    • Pfanzagl, J. and Wefelmeyer, W. (1982) Contributions to a General Asymptotic Statistical Theory, Lecture Notes in Statist. 13. New York: Springer-Verlag.
    • (1982) New York: Springer-Verlag.
    • Pfanzagl, J.1    Wefelmeyer, W.2
  • 28
    • 0010790901 scopus 로고
    • Asymptotic inference in Markov processes
    • Roussas, G.G. (1965) Asymptotic inference in Markov processes. Ann. Math. Statist., 36, 987-992.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 987-992
    • Roussas, G.G.1
  • 29
    • 0346179559 scopus 로고    scopus 로고
    • Sample splitting with Markov chains
    • Schick, A. (2001) Sample splitting with Markov chains. Bernoulli, 1, 33-61.
    • (2001) Bernoulli , vol.1 , pp. 33-61
    • Schick, A.1
  • 31
    • 0011425031 scopus 로고    scopus 로고
    • On asymptotics of estimating functions
    • Sorensen, M. (1999) On asymptotics of estimating functions. Brazil. J. Probab. Statist., 13, 111-136.
    • (1999) Brazil. J. Probab. Statist. , vol.13 , pp. 111-136
    • Sorensen, M.1
  • 32
    • 0030558595 scopus 로고    scopus 로고
    • Quasi-likelihood models and optimal inference
    • Wefelmeyer, W. (1996) Quasi-likelihood models and optimal inference. Ann. Statist., 24, 405-422.
    • (1996) Ann. Statist. , vol.24 , pp. 405-422
    • Wefelmeyer, W.1


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