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Volumn 100, Issue 1, 2009, Pages 16-36

Parametric estimation and tests through divergences and the duality technique

Author keywords

symbol divergence; 62F03; 62F10; 62F30; Boundary valued parameter; Duality; Maximum likelihood; Mixture; Parametric estimation; Parametric test; Power function

Indexed keywords


EID: 55049131411     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2008.03.011     Document Type: Article
Times cited : (80)

References (33)
  • 1
    • 0000221293 scopus 로고
    • Minimum disparity estimation for continuous models: Efficiency, distributions and robustness
    • Basu A., and Lindsay B.G. Minimum disparity estimation for continuous models: Efficiency, distributions and robustness. Ann. Inst. Statist. Math. 46 4 (1994) 683-705
    • (1994) Ann. Inst. Statist. Math. , vol.46 , Issue.4 , pp. 683-705
    • Basu, A.1    Lindsay, B.G.2
  • 2
    • 0000204608 scopus 로고
    • Minimum Hellinger distance estimates for parametric models
    • Beran R. Minimum Hellinger distance estimates for parametric models. Ann. Statist. 5 3 (1977) 445-463
    • (1977) Ann. Statist. , vol.5 , Issue.3 , pp. 445-463
    • Beran, R.1
  • 3
    • 0040441905 scopus 로고    scopus 로고
    • How to get central limit theorems for global errors of estimates
    • Berlinet A. How to get central limit theorems for global errors of estimates. Appl. Math. 44 2 (1999) 81-96
    • (1999) Appl. Math. , vol.44 , Issue.2 , pp. 81-96
    • Berlinet, A.1
  • 5
    • 14644399896 scopus 로고    scopus 로고
    • Density estimation by the penalized combinatorial method
    • Biau G., and Devroye L. Density estimation by the penalized combinatorial method. J. Multivariate Anal. 94 1 (2005) 196-208
    • (2005) J. Multivariate Anal. , vol.94 , Issue.1 , pp. 196-208
    • Biau, G.1    Devroye, L.2
  • 6
    • 0038038302 scopus 로고    scopus 로고
    • Estimation of the Kullback-Leibler divergence
    • (2004)
    • Broniatowski M. Estimation of the Kullback-Leibler divergence. Math. Methods Statist. 12 4 (2003) 391-409 (2004)
    • (2003) Math. Methods Statist. , vol.12 , Issue.4 , pp. 391-409
    • Broniatowski, M.1
  • 7
    • 55049114456 scopus 로고    scopus 로고
    • M. Broniatowski, A. Keziou, Parametric estimation and tests through divergences, Preprint 2004-1, L.S.T.A - Université Paris 6, 2004
    • M. Broniatowski, A. Keziou, Parametric estimation and tests through divergences, Preprint 2004-1, L.S.T.A - Université Paris 6, 2004
  • 8
    • 33750303537 scopus 로고    scopus 로고
    • Minimization of φ{symbol}-divergences on sets of signed measures
    • Broniatowski M., and Keziou A. Minimization of φ{symbol}-divergences on sets of signed measures. Studia Sci. Math. Hungar. 43 4 (2006) 403-442
    • (2006) Studia Sci. Math. Hungar. , vol.43 , Issue.4 , pp. 403-442
    • Broniatowski, M.1    Keziou, A.2
  • 10
    • 0001856347 scopus 로고
    • Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten
    • Csiszár I. Eine informationstheoretische Ungleichung und ihre Anwendung auf den Beweis der Ergodizität von Markoffschen Ketten. Magyar Tud. Akad. Mat. Kutató Int. Közl. 8 (1963) 85-108
    • (1963) Magyar Tud. Akad. Mat. Kutató Int. Közl. , vol.8 , pp. 85-108
    • Csiszár, I.1
  • 11
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • Csiszár I. Information-type measures of difference of probability distributions and indirect observations. Studia Sci. Math. Hungar. 2 (1967) 299-318
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 12
    • 0002743439 scopus 로고
    • On topology properties of f-divergences
    • Csiszár I. On topology properties of f-divergences. Studia Sci. Math. Hungar. 2 (1967) 329-339
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 329-339
    • Csiszár, I.1
  • 15
    • 0042301320 scopus 로고
    • An inconsistent maximum likelihood estimate
    • Ferguson T.S. An inconsistent maximum likelihood estimate. J. Amer. Statist. Assoc. 77 380 (1982) 831-834
    • (1982) J. Amer. Statist. Assoc. , vol.77 , Issue.380 , pp. 831-834
    • Ferguson, T.S.1
  • 16
    • 0036165143 scopus 로고    scopus 로고
    • Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models
    • Györfi L., and Vajda I. Asymptotic distributions for goodness-of-fit statistics in a sequence of multinomial models. Statist. Probab. Lett. 56 1 (2002) 57-67
    • (2002) Statist. Probab. Lett. , vol.56 , Issue.1 , pp. 57-67
    • Györfi, L.1    Vajda, I.2
  • 18
    • 0347141875 scopus 로고    scopus 로고
    • On robustness and efficiency of minimum divergence estimators
    • Jiménez R., and Shao Y. On robustness and efficiency of minimum divergence estimators. Test 10 2 (2001) 241-248
    • (2001) Test , vol.10 , Issue.2 , pp. 241-248
    • Jiménez, R.1    Shao, Y.2
  • 19
    • 0038236399 scopus 로고    scopus 로고
    • Dual representation of φ{symbol}-divergences and applications
    • Keziou A. Dual representation of φ{symbol}-divergences and applications. C. R. Math. Acad. Sci. Paris 336 10 (2003) 857-862
    • (2003) C. R. Math. Acad. Sci. Paris , vol.336 , Issue.10 , pp. 857-862
    • Keziou, A.1
  • 20
    • 55049122227 scopus 로고    scopus 로고
    • F. Liese, I. Vajda, Convex statistical distances, vol. 95. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1987
    • F. Liese, I. Vajda, Convex statistical distances, vol. 95. BSB B. G. Teubner Verlagsgesellschaft, Leipzig, 1987
  • 21
    • 33947426775 scopus 로고    scopus 로고
    • On divergences and information in statistics and information theory
    • Liese F., and Vajda I. On divergences and information in statistics and information theory. IEEE Trans. Inform. Theory 52 10 (2006) 4394-4412
    • (2006) IEEE Trans. Inform. Theory , vol.52 , Issue.10 , pp. 4394-4412
    • Liese, F.1    Vajda, I.2
  • 22
    • 0011652314 scopus 로고
    • Efficiency versus robustness: The case for minimum Hellinger distance and related methods
    • Lindsay B.G. Efficiency versus robustness: The case for minimum Hellinger distance and related methods. Ann. Statist. 22 2 (1994) 1081-1114
    • (1994) Ann. Statist. , vol.22 , Issue.2 , pp. 1081-1114
    • Lindsay, B.G.1
  • 23
    • 0002341215 scopus 로고    scopus 로고
    • Asymptotic distributions of φ{symbol}-divergences of hypothetical and observed frequencies on refined partitions
    • Menéndez M.L., Morales D., Pardo L., and Vajda I. Asymptotic distributions of φ{symbol}-divergences of hypothetical and observed frequencies on refined partitions. Statist. Neerlandica 52 1 (1998) 71-89
    • (1998) Statist. Neerlandica , vol.52 , Issue.1 , pp. 71-89
    • Menéndez, M.L.1    Morales, D.2    Pardo, L.3    Vajda, I.4
  • 24
    • 0345880661 scopus 로고    scopus 로고
    • Some approximations to power functions of φ{symbol}-divergences tests in parametric models
    • Morales D., and Pardo L. Some approximations to power functions of φ{symbol}-divergences tests in parametric models. Test 10 2 (2001) 249-269
    • (2001) Test , vol.10 , Issue.2 , pp. 249-269
    • Morales, D.1    Pardo, L.2
  • 25
    • 0000097598 scopus 로고
    • Asymptotic divergence of estimates of discrete distributions
    • Morales D., Pardo L., and Vajda I. Asymptotic divergence of estimates of discrete distributions. J. Statist. Plann. Inference 48 3 (1995) 347-369
    • (1995) J. Statist. Plann. Inference , vol.48 , Issue.3 , pp. 347-369
    • Morales, D.1    Pardo, L.2    Vajda, I.3
  • 26
    • 33749033845 scopus 로고    scopus 로고
    • Chapman & Hall/CRC, Boca Raton, FL
    • Pardo L. Statistical Inference Based on Divergence Measures. Statistics: Textbooks and Monographs vol. 185 (2006), Chapman & Hall/CRC, Boca Raton, FL
    • (2006) Statistics: Textbooks and Monographs , vol.185
    • Pardo, L.1
  • 27
    • 0347609095 scopus 로고
    • Empirical likelihood and general estimating equations
    • Qin J., and Lawless J. Empirical likelihood and general estimating equations. Ann. Statist. 22 1 (1994) 300-325
    • (1994) Ann. Statist. , vol.22 , Issue.1 , pp. 300-325
    • Qin, J.1    Lawless, J.2
  • 28
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar R.T. Convex Analysis (1970), Princeton University Press, Princeton, NJ
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 29
    • 84907319426 scopus 로고
    • Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions
    • Self S.G., and Liang K.-Y. Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. J. Amer. Statist. Assoc. 82 398 (1987) 605-610
    • (1987) J. Amer. Statist. Assoc. , vol.82 , Issue.398 , pp. 605-610
    • Self, S.G.1    Liang, K.-Y.2
  • 33
    • 84972973191 scopus 로고
    • φ{symbol}-divergence statistics: Sampling properties and multinomial goodness of fit and divergence tests
    • Zografos K., Ferentinos K., and Papaioannou T. φ{symbol}-divergence statistics: Sampling properties and multinomial goodness of fit and divergence tests. Comm. Statist. Theory Methods 19 5 (1990) 1785-1802
    • (1990) Comm. Statist. Theory Methods , vol.19 , Issue.5 , pp. 1785-1802
    • Zografos, K.1    Ferentinos, K.2    Papaioannou, T.3


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