메뉴 건너뛰기




Volumn 26, Issue 5, 1998, Pages 1800-1825

Information theory and superefficiency

Author keywords

Data compression; Information theory; Kullback Leibler loss; Superefficiency

Indexed keywords


EID: 0032259025     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1024691358     Document Type: Article
Times cited : (15)

References (28)
  • 1
    • 0001199215 scopus 로고
    • A general class of coefficient of divergence of one distribution from another
    • ALI, S. and SILVEY, S. (1966). A general class of coefficient of divergence of one distribution from another. J. Roy. Statist. Soc. Ser. B 28 131-142.
    • (1966) J. Roy. Statist. Soc. Ser. B , vol.28 , pp. 131-142
    • Ali, S.1    Silvey, S.2
  • 2
    • 0040487771 scopus 로고
    • On Fisher's bound for asymptotic variances
    • BAHADUR, R. R. (1964). On Fisher's bound for asymptotic variances. Ann. Math. Statist. 35 1545-1552.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 1545-1552
    • Bahadur, R.R.1
  • 3
    • 0000135116 scopus 로고
    • Rates of convergence of estimates and test statistics
    • BAHADUR, R. R. (1967). Rates of convergence of estimates and test statistics. Ann. Math. Statist. 38 303-324.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 303-324
    • Bahadur, R.R.1
  • 5
    • 0002168687 scopus 로고
    • Are bayes rules consistent in information?
    • T. Cover and B. Gopinath. eds. Springer, New York
    • BARRON, A. (1987). Are Bayes rules consistent in information? In Open Problems in Communica-tion and Computation (T. Cover and B. Gopinath. eds.) 85-91. Springer, New York.
    • (1987) Open Problems in Communica-tion and Computation , pp. 85-91
    • Barron, A.1
  • 6
    • 0026190366 scopus 로고
    • Minimum complexity density estimation
    • BARRON, A. and COVER, T. (1991). Minimum complexity density estimation. IEEE Trans. Inform. Theory 37 1034-1054.
    • (1991) IEEE Trans. Inform. Theory , vol.37 , pp. 1034-1054
    • Barron, A.1    Cover, T.2
  • 7
    • 0000864703 scopus 로고
    • On estimating a density using Hellinger distance and some other strange facts
    • BIRGE, L. (1986). On estimating a density using Hellinger distance and some other strange facts. Probab. Theory Related Fields 71 271-291.
    • (1986) Probab. Theory Related Fields , vol.71 , pp. 271-291
    • Birge, L.1
  • 8
    • 0040487706 scopus 로고
    • An information inequality for the bayes risk under truncated squared error loss
    • C. R. Rao, ed.. North-Holland, Amsterdam
    • BROWN, L. D. (1993). An information inequality for the Bayes risk under truncated squared error loss. In Multivariate Analysis: Future Directions (C. R. Rao, ed.). North-Holland, Amsterdam.
    • (1993) Multivariate Analysis: Future Directions
    • Brown, L.D.1
  • 9
    • 0031322288 scopus 로고    scopus 로고
    • Superefficiency in nonparametric function estimation
    • BROWN, L. D., LOW. M. G. and ZHAO, L. H. (1997). Superefficiency in nonparametric function estimation. Ann. Statist. 25 2607-2625.
    • (1997) Ann. Statist. , vol.25 , pp. 2607-2625
    • Brown, L.D.1    Low, M.G.2    Zhao, L.H.3
  • 10
    • 0009226254 scopus 로고
    • Statistical decision rules and optimal inference
    • CENCOV, N. N. (1982). Statistical decision rules and optimal inference. Amer. Math. Soc. Transl. Ser. 2 53.
    • (1982) Amer. Math. Soc. Transl. Ser. , vol.2 , pp. 53
    • Cencov, N.N.1
  • 11
    • 0025430804 scopus 로고
    • Information-theoretic asymptotics of Bayes methods
    • CLARKE, B. and BARRON, A. (1990). Information-theoretic asymptotics of Bayes methods. IEEE Trans. Inform. Theory 36 453-471.
    • (1990) IEEE Trans. Inform. Theory , vol.36 , pp. 453-471
    • Clarke, B.1    Barron, A.2
  • 13
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • CSISZÁR, I. (1967). Information-type measures of difference of probability distributions and indirect observations. Stadia Sci. Math. Hungar. 2 299-318.
    • (1967) Stadia Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 16
    • 0032235890 scopus 로고    scopus 로고
    • The maximum likelihood prior
    • HARTIGAN, J. A. (1998). The maximum likelihood prior. Ann. Statist. 26 2083-2103.
    • (1998) Ann. Statist. , vol.26 , pp. 2083-2103
    • Hartigan, J.A.1
  • 17
    • 84873751778 scopus 로고
    • An invariant form for the prior probability in estimation problems
    • JEFFREYS, H. (1946). An invariant form for the prior probability in estimation problems. Proc. Roy. Soc. London Ser. A 186 453-461.
    • (1946) Proc. Roy. Soc. London Ser. A , vol.186 , pp. 453-461
    • Jeffreys, H.1
  • 18
    • 0041081796 scopus 로고
    • Technical Report, Dept. of Mathematical Engineering and Information Physics, Faculty of Engineering, Univ. Tokyo
    • KOMAKI, F. (1994). On asymptotic properties of predictive distributions. Technical Report, Dept. of Mathematical Engineering and Information Physics, Faculty of Engineering, Univ. Tokyo.
    • (1994) On asymptotic properties of predictive distributions
    • Komaki, F.1
  • 21
    • 0000678581 scopus 로고
    • On some asymptotic properties of maximum likelihood estimates and related bayes estimates
    • LE CAM, L. (1953). On some asymptotic properties of maximum likelihood estimates and related Bayes estimates. Univ. California Publ. Statist. 277-330.
    • (1953) Univ. California Publ. Statist. , pp. 277-330
    • Le Cam, L.1
  • 23
    • 84956083720 scopus 로고
    • Metric entropy and approximation
    • LORENTZ (1966). Metric entropy and approximation. Bull. Amer. Math. Soc. 72 903-937.
    • (1966) Bull. Amer. Math. Soc. , vol.72 , pp. 903-937
    • Lorentz1
  • 24
    • 0029304928 scopus 로고
    • A strong version of the redundancy-capacity theorem of universal coding
    • MERHAV, N. and FEDER, M. (1995). A strong version of the redundancy-capacity theorem of universal coding. IEEE Trans. Inform. Theory 41 714-722.
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 714-722
    • Merhav, N.1    Feder, M.2
  • 25
    • 0021466584 scopus 로고
    • Universal coding, information, prediction, and estimation
    • RISSANEN, J. (1984). Universal coding, information, prediction, and estimation. IEEE Trans. Inform. Theory 30 629-636.
    • (1984) IEEE Trans. Inform. Theory , vol.30 , pp. 629-636
    • Rissanen, J.1
  • 26
    • 0000318553 scopus 로고
    • Stochastic complexity and modeling
    • RISSANEN, J. (1986). Stochastic complexity and modeling. Ann. Statist. 14 1080-1100.
    • (1986) Ann. Statist. , vol.14 , pp. 1080-1100
    • Rissanen, J.1
  • 27
    • 0039098901 scopus 로고
    • Asymptotic efficiency of estimators: Algorithmic approach
    • VOVK (1991). Asymptotic efficiency of estimators: algorithmic approach. Theory Probab. Appl. 36 329-343.
    • (1991) Theory Probab. Appl. , vol.36 , pp. 329-343
    • Vovk1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.