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Volumn 42, Issue 3, 2001, Pages 313-328

Csiszar's φ-divergences for testing the order in a Markov chain

Author keywords

Csiszar's divergences; Divergence statistics; Goodness of fit tests; rth Markov chains; Statistical Information Theory

Indexed keywords


EID: 18044400139     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003620100061     Document Type: Article
Times cited : (8)

References (21)
  • 1
    • 0001199215 scopus 로고
    • A general class of coefficient of divergence of one distribution from another
    • Ser. B
    • Ali, S. M. and S. D. Silvey (1966). A general class of coefficient of divergence of one distribution from another. J. of Royal Statistical Society, Ser. B, 286, 131-142.
    • (1966) J. of Royal Statistical Society , vol.286 , pp. 131-142
    • Ali, S.M.1    Silvey, S.D.2
  • 2
    • 0002371041 scopus 로고
    • Statistical inference about Markov chains
    • Anderson, T.W. and Goodman, L.A. (1957). Statistical inference about Markov chains. Ann. Math. Stat., 28, 89-110
    • (1957) Ann. Math. Stat. , vol.28 , pp. 89-110
    • Anderson, T.W.1    Goodman, L.A.2
  • 3
    • 0009299663 scopus 로고
    • Asymptotic analysis of some chi-square type tests for Markov chains
    • Azlarov, T.A. and A. A. Narkhuzhaev (1987). Asymptotic analysis of some chi-square type tests for Markov chains. Dokl. Akad. Nauk. SSSR, 7, 3-5.
    • (1987) Dokl. Akad. Nauk. SSSR , vol.7 , pp. 3-5
    • Azlarov, T.A.1    Narkhuzhaev, A.A.2
  • 4
    • 0009286738 scopus 로고
    • On asymptotic behavior of distributions of some statistics for Markov chains
    • Azlarov, T.A. and A. A. Narkhuzhaev (1992). On asymptotic behavior of distributions of some statistics for Markov chains. Theory Probab. Appl., 37, 117-119.
    • (1992) Theory Probab. Appl. , vol.37 , pp. 117-119
    • Azlarov, T.A.1    Narkhuzhaev, A.A.2
  • 6
    • 0002469511 scopus 로고
    • Statistical methods in Markov chains
    • Billingsley, P. (1961a). Statistical methods in Markov chains. Ann. Math. Statist., 32, 13-39.
    • (1961) Ann. Math. Statist. , vol.32 , pp. 13-39
    • Billingsley, P.1
  • 8
    • 0001856347 scopus 로고
    • Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten
    • Csiszár, I. (1963). Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten. Publications of the Mathematical Institute of Hungarian Academy of Sciences, Ser. A, 8, 85-108.
    • (1963) Publications of the Mathematical Institute of Hungarian Academy of Sciences, Ser. A , vol.8 , pp. 85-108
    • Csiszár, I.1
  • 10
    • 84954889681 scopus 로고
    • An elementary introduction to maximum likelihood estimation for multinomial models: Birh's theorem and the delta method
    • Cox, C. (1984). An elementary introduction to maximum likelihood estimation for multinomial models: Birh's theorem and the delta method. The American Statistician, 38, 283-287.
    • (1984) The American Statistician , vol.38 , pp. 283-287
    • Cox, C.1
  • 13
    • 0001671645 scopus 로고
    • A test for Markov chains
    • Hoel, P. G. (1954). A test for Markov chains. Biometrika, 14, 430-433.
    • (1954) Biometrika , vol.14 , pp. 430-433
    • Hoel, P.G.1
  • 19
    • 0009151065 scopus 로고
    • Asymptotic distribution of the log-likelihood function for stochastic processes
    • Roussas, G.G. (1979). Asymptotic distribution of the log-likelihood function for stochastic processes. Z. Wahr. Verw. Geb., 47, 31-46.
    • (1979) Z. Wahr. Verw. Geb. , vol.47 , pp. 31-46
    • Roussas, G.G.1
  • 20
    • 0001586977 scopus 로고
    • On the applications of divergence type measures in testing statistical hypotheses
    • Salicrú, M., Morales, D., Menéndez, M. L. and Pardo, L. (1994). On the applications of divergence type measures in testing statistical hypotheses. J. of Multivariate Analysis, 51, 372-391.
    • (1994) J. of Multivariate Analysis , vol.51 , pp. 372-391
    • Salicrú, M.1    Morales, D.2    Menéndez, M.L.3    Pardo, L.4
  • 21
    • 84972973191 scopus 로고
    • φ-divergence statistics: Sampling properties and multinomial goodness of fit and divergence tests
    • Zografos, K., Ferentinos, K. and T. Papaioannou (1990). φ-divergence statistics: sampling properties and multinomial goodness of fit and divergence tests". Commun. Statist. (Theory and Meth.), 19(5), 1785-1802.
    • (1990) Commun. Statist. (Theory and Meth.) , vol.19 , Issue.5 , pp. 1785-1802
    • Zografos, K.1    Ferentinos, K.2    Papaioannou, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.