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Volumn 179, Issue 3, 2009, Pages 279-291

On Rényi information for ergodic diffusion processes

Author keywords

Ergodic diffusion processes; Invariant law; R nyi entropy; Shannon entropy; Song measure

Indexed keywords

DIFFUSION; ENTROPY; RHENIUM;

EID: 56149110711     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2008.09.016     Document Type: Article
Times cited : (32)

References (33)
  • 1
    • 33646168798 scopus 로고    scopus 로고
    • The generalized hyperbolic skew Student's t-distribution
    • Aas K., and Haff I.H. The generalized hyperbolic skew Student's t-distribution. J. Finan. Econ. 4 2 (2006) 275-309
    • (2006) J. Finan. Econ. , vol.4 , Issue.2 , pp. 275-309
    • Aas, K.1    Haff, I.H.2
  • 2
    • 0017468220 scopus 로고
    • Exponentially decreasing distributions for the logarithm of particle size
    • Barndorff-Nielsen O.E. Exponentially decreasing distributions for the logarithm of particle size. Proc. Roy. Soc. London A 353 (1977) 401-419
    • (1977) Proc. Roy. Soc. London A , vol.353 , pp. 401-419
    • Barndorff-Nielsen, O.E.1
  • 3
    • 0043004721 scopus 로고
    • Nature of Rényi's entropy and associated divergence function
    • Bector C.R., and Bhatia B.L. Nature of Rényi's entropy and associated divergence function. Naval Res. Logis. Quart. 33 (1986) 741-746
    • (1986) Naval Res. Logis. Quart. , vol.33 , pp. 741-746
    • Bector, C.R.1    Bhatia, B.L.2
  • 4
    • 0018064415 scopus 로고
    • f-Entropies, probability of error, and feature selection
    • Ben Bassat M. f-Entropies, probability of error, and feature selection. Inform. Control 39 (1978) 227-242
    • (1978) Inform. Control , vol.39 , pp. 227-242
    • Ben Bassat, M.1
  • 5
    • 0002314533 scopus 로고    scopus 로고
    • A hyperbolic diffusion model for stock prices
    • Bibby B.M., and Sørensen M. A hyperbolic diffusion model for stock prices. Finan. Stochastics 1 (1997) 25-41
    • (1997) Finan. Stochastics , vol.1 , pp. 25-41
    • Bibby, B.M.1    Sørensen, M.2
  • 7
    • 0001744526 scopus 로고
    • Descriptive statistics for nonparametric models: I. Introduction
    • Bickel P.J., and Lehman E.L. Descriptive statistics for nonparametric models: I. Introduction. Ann. Stat. 3 (1975) 1038-1044
    • (1975) Ann. Stat. , vol.3 , pp. 1038-1044
    • Bickel, P.J.1    Lehman, E.L.2
  • 10
    • 84972495814 scopus 로고
    • Hyperbolic distributions in finance
    • Eberlein E., and Keller U. Hyperbolic distributions in finance. Bernoulli 1 (1995) 281-299
    • (1995) Bernoulli , vol.1 , pp. 281-299
    • Eberlein, E.1    Keller, U.2
  • 12
    • 50249097592 scopus 로고    scopus 로고
    • The Pearson diffusions: a class of statistically tractable diffusion processes
    • Forman J.L., and Sørensen M. The Pearson diffusions: a class of statistically tractable diffusion processes. Scand. J. Stat. 35 (2008) 438-465
    • (2008) Scand. J. Stat. , vol.35 , pp. 438-465
    • Forman, J.L.1    Sørensen, M.2
  • 14
    • 0001705325 scopus 로고
    • Moment distributions in economics: an exposition
    • Hart P.E. Moment distributions in economics: an exposition. J. Royal Stat. Soc. Ser. A 138 (1975) 423-434
    • (1975) J. Royal Stat. Soc. Ser. A , vol.138 , pp. 423-434
    • Hart, P.E.1
  • 15
    • 0037848605 scopus 로고    scopus 로고
    • A skew extension of the t distribution, with applications
    • Jones M.C., and Faddy M.J. A skew extension of the t distribution, with applications. J. Royal Stat. Soc. Ser. B 65 2 (2003) 159-174
    • (2003) J. Royal Stat. Soc. Ser. B , vol.65 , Issue.2 , pp. 159-174
    • Jones, M.C.1    Faddy, M.J.2
  • 19
    • 0031184864 scopus 로고    scopus 로고
    • Some new statistics for testing composite hypotheses in parametric models
    • Morales D., Pardo L., and Vajda I. Some new statistics for testing composite hypotheses in parametric models. J. Multivariate Anal. 62 1 (1997) 137-168
    • (1997) J. Multivariate Anal. , vol.62 , Issue.1 , pp. 137-168
    • Morales, D.1    Pardo, L.2    Vajda, I.3
  • 20
    • 0002356447 scopus 로고    scopus 로고
    • Rényi statistics in directed families of exponential experiments
    • Morales D., Pardo L., and Vajda I. Rényi statistics in directed families of exponential experiments. Statistics 34 (2000) 151-174
    • (2000) Statistics , vol.34 , pp. 151-174
    • Morales, D.1    Pardo, L.2    Vajda, I.3
  • 21
    • 31244435007 scopus 로고    scopus 로고
    • Likelihood divergences statistics for testing hypotheses in parametric models with s samples
    • Morales D., Pardo L., and Pardo M.C. Likelihood divergences statistics for testing hypotheses in parametric models with s samples. Commun. Stat. Simul. Comput. 30 4 (2001) 867-884
    • (2001) Commun. Stat. Simul. Comput. , vol.30 , Issue.4 , pp. 867-884
    • Morales, D.1    Pardo, L.2    Pardo, M.C.3
  • 22
    • 0043237950 scopus 로고    scopus 로고
    • Formulas for Rényi information and related measures for univariate distributions
    • Nadarajah S., and Zografos K. Formulas for Rényi information and related measures for univariate distributions. Inform. Sci. 155 1-2 (2003) 119-138
    • (2003) Inform. Sci. , vol.155 , Issue.1-2 , pp. 119-138
    • Nadarajah, S.1    Zografos, K.2
  • 23
    • 13244291650 scopus 로고    scopus 로고
    • Expressions for Rényi and Shannon entropies for bivariate distributions
    • Nadarajah S., and Zografos K. Expressions for Rényi and Shannon entropies for bivariate distributions. Inform. Sci. 170 2-4 (2005) 173-189
    • (2005) Inform. Sci. , vol.170 , Issue.2-4 , pp. 173-189
    • Nadarajah, S.1    Zografos, K.2
  • 24
    • 12144250294 scopus 로고
    • On the dimension and entropy of probability distributions
    • Rényi A. On the dimension and entropy of probability distributions. Acta Math. Acad. Sci. Hung. 10 (1959) 193-215
    • (1959) Acta Math. Acad. Sci. Hung. , vol.10 , pp. 193-215
    • Rényi, A.1
  • 26
    • 5444248016 scopus 로고    scopus 로고
    • Rényi test statistics for partially observed diffusion processes
    • Rivas M.J., Santos M.T., and Morales D. Rényi test statistics for partially observed diffusion processes. J. Stat. Plann. Inferen. 127 (2005) 91-102
    • (2005) J. Stat. Plann. Inferen. , vol.127 , pp. 91-102
    • Rivas, M.J.1    Santos, M.T.2    Morales, D.3
  • 27
    • 0041971373 scopus 로고    scopus 로고
    • Rényi information, loglikelihood and an intrinsic distribution measure
    • Song K.-S. Rényi information, loglikelihood and an intrinsic distribution measure. J. Stat. Plann. Inferen. 93 (2001) 51-69
    • (2001) J. Stat. Plann. Inferen. , vol.93 , pp. 51-69
    • Song, K.-S.1
  • 28
    • 56149102789 scopus 로고    scopus 로고
    • M. Sørensen, Exponential family inference for diffusion models, Research Report No. 383, Department of Mathematical Sciences, University of Copenhagen, 1997. .
    • M. Sørensen, Exponential family inference for diffusion models, Research Report No. 383, Department of Mathematical Sciences, University of Copenhagen, 1997. .
  • 29
    • 33847266711 scopus 로고    scopus 로고
    • Optimal statistical decisions about some alternative financial models
    • Stummer W., and Vajda I. Optimal statistical decisions about some alternative financial models. J. Econ. 137 (2007) 441-471
    • (2007) J. Econ. , vol.137 , pp. 441-471
    • Stummer, W.1    Vajda, I.2
  • 30
    • 0006587258 scopus 로고
    • Bounds of the minimal error probability on checking a finite or countable number of hypotheses
    • Vajda I. Bounds of the minimal error probability on checking a finite or countable number of hypotheses. Inform. Transm. Prob. 4 (1968) 9-17
    • (1968) Inform. Transm. Prob. , vol.4 , pp. 9-17
    • Vajda, I.1
  • 31
    • 56149100742 scopus 로고
    • Rényi distances of some diffusion processes
    • Vajda I. Rényi distances of some diffusion processes. Prob. Theory Math. Stat. 2 (1990) 529-534
    • (1990) Prob. Theory Math. Stat. , vol.2 , pp. 529-534
    • Vajda, I.1
  • 32
    • 0042969021 scopus 로고    scopus 로고
    • Global statistical information in exponential experiments and selection of exponential models
    • Vajda I., and van der Meulen E.C. Global statistical information in exponential experiments and selection of exponential models. Appl. Math. 43 (1998) 23-51
    • (1998) Appl. Math. , vol.43 , pp. 23-51
    • Vajda, I.1    van der Meulen, E.C.2
  • 33
    • 27444437823 scopus 로고    scopus 로고
    • Expressions for Rényi and Shannon entropies for multivariate distributions
    • Zografos K., and Nadarajah S. Expressions for Rényi and Shannon entropies for multivariate distributions. Statist. Prob. Lett. 71 1 (2005) 71-84
    • (2005) Statist. Prob. Lett. , vol.71 , Issue.1 , pp. 71-84
    • Zografos, K.1    Nadarajah, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.