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Volumn 30, Issue 3, 2002, Pages 708-730

Deficiency distance between multinomial and multivariate normal experiments

Author keywords

Deficiency distance; Density estimation; Multinomial distribution; Nonparametric experiments

Indexed keywords


EID: 0036049656     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1028674839     Document Type: Article
Times cited : (45)

References (17)
  • 1
    • 0030335402 scopus 로고    scopus 로고
    • Asymptotic equivalence of nonparametric regression and white noise
    • BROWN, L. D. and LOW, M. G. (1996). Asymptotic equivalence of nonparametric regression and white noise. Ann. Statist. 24 2384-2398.
    • (1996) Ann. Statist. , vol.24 , pp. 2384-2398
    • Brown, L.D.1    Low, M.G.2
  • 2
    • 0032387073 scopus 로고    scopus 로고
    • Asymptotic nonequivalence of nonparametric experiments when the smoothness index is 1/2
    • BROWN, L. D. and ZHANG, C.-H. (1998). Asymptotic nonequivalence of nonparametric experiments when the smoothness index is 1/2. Ann. Statist. 26 279-287.
    • (1998) Ann. Statist. , vol.26 , pp. 279-287
    • Brown, L.D.1    Zhang, C.-H.2
  • 3
    • 0041611533 scopus 로고    scopus 로고
    • Deficiency distance between multinomial and multivariate normal experiments under smoothness constraints on the parameter set
    • CARTER, A. V. (2001). Deficiency distance between multinomial and multivariate normal experiments under smoothness constraints on the parameter set. Technical Report, UCSB. Available at www.pstat.ucsb.edu/faculty/carter/research.html.
    • (2001) Technical Report
    • Carter, A.V.1
  • 5
    • 0043114357 scopus 로고    scopus 로고
    • Asymptotic equivalence of spectral density and regression estimation
    • Weierstrass Institute, Berlin
    • GOLUBEV, G. K. and NUSSBAUM, M. (1998). Asymptotic equivalence of spectral density and regression estimation. Technical Report 420, Weierstrass Institute, Berlin.
    • (1998) Technical Report , vol.420
    • Golubev, G.K.1    Nussbaum, M.2
  • 6
    • 0032094580 scopus 로고    scopus 로고
    • Asymptotic equivalence for nonparametric generalized linear models
    • GRAMA, I. and NUSSBAUM, M. (1998). Asymptotic equivalence for nonparametric generalized linear models. Probab. Theory Related Fields 111 167-214.
    • (1998) Probab. Theory Related Fields , vol.111 , pp. 167-214
    • Grama, I.1    Nussbaum, M.2
  • 8
    • 0042613419 scopus 로고    scopus 로고
    • Constructive asymptotic equivalence of density estimation and Gaussian white noise
    • Sonderforschungsbereich 373, Humboldt Univ., Berlin
    • KLEMELÄ, J. and NUSSBAUM, M. (1998). Constructive asymptotic equivalence of density estimation and Gaussian white noise. Discussion paper 53, Sonderforschungsbereich 373, Humboldt Univ., Berlin.
    • (1998) Discussion Paper , vol.53
    • Klemelä, J.1    Nussbaum, M.2
  • 9
    • 84941465845 scopus 로고
    • A lower bound for discrimination in terms of variation
    • KULLBACK, S. (1967). A lower bound for discrimination in terms of variation. IEEE Trans. Inform. Theory 13 126-127.
    • (1967) IEEE Trans. Inform. Theory , vol.13 , pp. 126-127
    • Kullback, S.1
  • 10
    • 0000457130 scopus 로고
    • Sufficiency and approximate sufficiency
    • LE CAM, L. (1964). Sufficiency and approximate sufficiency. Ann. Math. Statist. 35 1419-1455.
    • (1964) Ann. Math. Statist. , vol.35 , pp. 1419-1455
    • Le Cam, L.1
  • 11
    • 0042112383 scopus 로고
    • Multinomial approximations for nonparametric experiments which minimize the maximal loss of Fisher information
    • LUCKHAUS, S. and SAUERMANN, W. (1989). Multinomial approximations for nonparametric experiments which minimize the maximal loss of Fisher information. Probab. Theory Related Fields 81 159-184.
    • (1989) Probab. Theory Related Fields , vol.81 , pp. 159-184
    • Luckhaus, S.1    Sauermann, W.2
  • 12
    • 0032263667 scopus 로고    scopus 로고
    • Diffusion approximation for nonparametric autoregression
    • MILSTEIN, G. and NUSSBAUM, M. (1998). Diffusion approximation for nonparametric autoregression. Probab. Theory Related Fields 112 535-543.
    • (1998) Probab. Theory Related Fields , vol.112 , pp. 535-543
    • Milstein, G.1    Nussbaum, M.2
  • 13
    • 4243388246 scopus 로고
    • Asymptotically multinomial experiments and the extension of a theorem of Wald
    • MÜLLER, D. W. (1979). Asymptotically multinomial experiments and the extension of a theorem of Wald. Z. Wahrsch. Verw. Gebiete 50 179-204.
    • (1979) Z. Wahrsch. Verw. Gebiete , vol.50 , pp. 179-204
    • Müller, D.W.1
  • 14
    • 0030328670 scopus 로고    scopus 로고
    • Asymptotic equivalence of density estimation and Gaussian white noise
    • NUSSBAUM, M. (1996). Asymptotic equivalence of density estimation and Gaussian white noise. Ann. Statist. 24 2399-2430.
    • (1996) Ann. Statist. , vol.24 , pp. 2399-2430
    • Nussbaum, M.1
  • 15
    • 0007290658 scopus 로고
    • Asymptotic behavior of the binomial distribution
    • Amer. Math. Soc., Providence, RI
    • PROHOROV, YU. V. (1961). Asymptotic behavior of the binomial distribution. Select. Transl. Math. Statist. Probab. 187-96. Amer. Math. Soc., Providence, RI [(1953). Uspekhi. Mat. Nauk. 8 135-142 (in Russian)].
    • (1961) Select. Transl. Math. Statist. Probab. , pp. 187-196
    • Prohorov, Yu.V.1
  • 16
    • 0001472164 scopus 로고
    • in Russian
    • PROHOROV, YU. V. (1961). Asymptotic behavior of the binomial distribution. Select. Transl. Math. Statist. Probab. 187-96. Amer. Math. Soc., Providence, RI [(1953). Uspekhi. Mat. Nauk. 8 135-142 (in Russian)].
    • (1953) Uspekhi. Mat. Nauk. , vol.8 , pp. 135-142


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.