메뉴 건너뛰기




Volumn 49, Issue 7, 2003, Pages 1860-1868

On asymptotic properties of information-theoretic divergences

Author keywords

Asymptotic distributions; Asymptotic equivalence; Bregman divergences; Burbea Rao divergences; Divergence statistics; Divergences of Csisz r

Indexed keywords

ASYMPTOTIC STABILITY; EQUIVALENCE CLASSES; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; STATISTICS; THEOREM PROVING;

EID: 0038444419     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2003.813509     Document Type: Letter
Times cited : (41)

References (26)
  • 1
    • 49949144765 scopus 로고
    • The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
    • L. M. Bregman, "The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming," USSR Comput. Math. and Math. Phys., vol. 7, pp. 200-217, 1967.
    • (1967) USSR Comput. Math. and Math. Phys. , vol.7 , pp. 200-217
    • Bregman, L.M.1
  • 2
    • 0020126872 scopus 로고
    • On the convexity of some divergence measures based on entropy functions
    • May
    • J. Burbea and C. R. Rao, "On the convexity of some divergence measures based on entropy functions," Trans. IEEE Inform. Theory, vol. IT-28, pp. 489-495, May 1982.
    • (1982) Trans. IEEE Inform. Theory , vol.IT-28 , pp. 489-495
    • Burbea, J.1    Rao, C.R.2
  • 4
    • 0001856347 scopus 로고
    • Eine Informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten
    • I. Csiszár, "Eine Informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten," Publ. Math. Inst. Hungar. Acad. Sci., Ser. A, vol. 8, pp. 85-108, 1963.
    • (1963) Publ. Math. Inst. Hungar. Acad. Sci., Ser. A , vol.8 , pp. 85-108
    • Csiszár, I.1
  • 5
    • 0000489740 scopus 로고
    • Information-type measure of difference of probability distributions and indirect observations
    • ____, "Information-type measure of difference of probability distributions and indirect observations," Studia Sci. Math. Hungar., vol. 2, pp. 299-318, 1967.
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 6
    • 0025595687 scopus 로고
    • Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
    • ____, "Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems," Ann. Statist., vol. 19, pp. 2031-2066, 1991.
    • (1991) Ann. Statist. , vol.19 , pp. 2031-2066
    • Csiszár, I.1
  • 10
    • 84976446987 scopus 로고    scopus 로고
    • A class of modified Pearson and Neyman statistics
    • L. Györfi and I. Vajda, "A class of modified Pearson and Neyman statistics," Statist. Decisions, vol. 19, pp. 239-251, 2001.
    • (2001) Statist. Decisions , vol.19 , pp. 239-251
    • Györfi, L.1    Vajda, I.2
  • 11
    • 0036165143 scopus 로고    scopus 로고
    • Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models
    • ____, "Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models," Statist. Probab. Lett., vol. 56, pp. 57-67, 2002.
    • (2002) Statist. Probab. Lett. , vol.56 , pp. 57-67
    • Györfi, L.1    Vajda, I.2
  • 13
    • 0037478374 scopus 로고
    • Asymptotics for multinomial goodness of fit tests for simple hypothesis
    • T. Inglot, T. Jurlewicz, and T. Ledwina, "Asymptotics for multinomial goodness of fit tests for simple hypothesis," Theory Probab. and Applications, vol. 35, pp. 771-777, 1990.
    • (1990) Theory Probab. and Applications , vol.35 , pp. 771-777
    • Inglot, T.1    Jurlewicz, T.2    Ledwina, T.3
  • 18
    • 0002863681 scopus 로고    scopus 로고
    • On Burbea-Rao divergence based goodness-of-fit tests for multinomial models
    • M. C. Pardo, "On Burbea-Rao divergence based goodness-of-fit tests for multinomial models," J. Multivariate Anal., vol. 69, pp. 65-87, 1999.
    • (1999) J. Multivariate Anal. , vol.69 , pp. 65-87
    • Pardo, M.C.1
  • 19
    • 0038087275 scopus 로고
    • h-divergence statistics in applied categorical data analysis with stratified sampling
    • h-divergence statistics in applied categorical data analysis with stratified sampling," Utilitas Math., vol. 44, 145-164, 1993.
    • (1993) Utilitas Math. , vol.44 , pp. 145-164
    • Pardo, L.1    Morales, D.2    Salicrú, M.3    Menéndez, M.L.4
  • 20
    • 0031185365 scopus 로고    scopus 로고
    • About distances of discrete distributions satisfying the data processing theorem of information theory
    • July
    • M. C. Pardo and I. Vajda, "About distances of discrete distributions satisfying the data processing theorem of information theory," Trans. IEEE Inform. Theory, vol. 43, pp. 1288-1293, July 1997.
    • (1997) Trans. IEEE Inform. Theory , vol.43 , pp. 1288-1293
    • Pardo, M.C.1    Vajda, I.2
  • 22
    • 0038763971 scopus 로고
    • On a class of minimum functionals in a space of probability measures
    • S. T. Rachev, "On a class of minimum functionals in a space of probability measures," Theory Probab. and Applications, vol. 29, pp. 41-48, 1984.
    • (1984) Theory Probab. and Applications , vol.29 , pp. 41-48
    • Rachev, S.T.1
  • 24
    • 0001661258 scopus 로고
    • On the asymptotic distribution of the chi-square criterion
    • S. H. Tumanyan, "On the asymptotic distribution of the chi-square criterion," Drkl. Akad. Nauk SSSR, vol. 94, pp. 1011-1012, 1954.
    • (1954) Drkl. Akad. Nauk SSSR , vol.94 , pp. 1011-1012
    • Tumanyan, S.H.1
  • 26
    • 84972973191 scopus 로고
    • φ-divergence statistics: Sampling properties and multinomial goodness of fit and divergence tests
    • K. Zografos, K. Ferentinos, and T. Papaioannou, "φ-divergence statistics: Sampling properties and multinomial goodness of fit and divergence tests," Commun. Statist. Theory Methods, vol. 19, pp. 1785-1802, 1990.
    • (1990) Commun. Statist. Theory Methods , vol.19 , pp. 1785-1802
    • Zografos, K.1    Ferentinos, K.2    Papaioannou, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.