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Volumn 68, Issue 3, 2010, Pages 235-250

On Fisher information matrices and profile log-likelihood functions in generalized skew-elliptical models

Author keywords

Generalized skew elliptical distributions; Profile likelihood; Singular fisher information matrix; Skew normal distributions; Skew t distributions; Skewness

Indexed keywords


EID: 79956133201     PISSN: 00261424     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03263537     Document Type: Article
Times cited : (13)

References (23)
  • 1
    • 45049088359 scopus 로고    scopus 로고
    • The centred parametrization for the multivariate skew-normal distribution
    • ARELLANO-VALLE, R. B. and AZZALINI, A. (2008) The centred parametrization for the multivariate skew-normal distribution, Journal of Multivariate Analysis, 99, 1362-1382.
    • (2008) Journal of Multivariate Analysis , vol.99 , pp. 1362-1382
    • Arellano-Valle, R.B.1    Azzalini, A.2
  • 2
    • 0001036819 scopus 로고
    • A class of distributions which includes the normal ones
    • AZZALINI, A. (1985) A class of distributions which includes the normal ones, Scandinavian Journal of Statistics, 12, 171-178.
    • (1985) Scandinavian Journal of Statistics , vol.12 , pp. 171-178
    • Azzalini, A.1
  • 3
    • 19744373319 scopus 로고    scopus 로고
    • The skew-normal distribution and related multivariate families (with discussion)
    • AZZALINI, A. (2005) The skew-normal distribution and related multivariate families (with discussion), Scandinavian Journal of Statistics, 32, 159-188.
    • (2005) Scandinavian Journal of Statistics , vol.32 , pp. 159-188
    • Azzalini, A.1
  • 4
    • 0001122047 scopus 로고    scopus 로고
    • Statistical applications of the multivariate skew-normal distributions
    • AZZALINI, A. and CAPITANIO, A. (1999) Statistical applications of the multivariate skew-normal distributions, Journal of the Royal Statistical Society B, 61, 579-602.
    • (1999) Journal of the Royal Statistical Society B , vol.61 , pp. 579-602
    • Azzalini, A.1    Capitanio, A.2
  • 5
    • 0037900005 scopus 로고    scopus 로고
    • Distributions generated by perturbation of symmetry with emphasis on a multivariate skew-t distribution
    • AZZALINI, A. and CAPITANIO, A. (2003) Distributions generated by perturbation of symmetry with emphasis on a multivariate skew-t distribution, Journal of the Royal Statistical Society B, 65, 367-389.
    • (2003) Journal of the Royal Statistical Society B , vol.65 , pp. 367-389
    • Azzalini, A.1    Capitanio, A.2
  • 6
    • 0001417140 scopus 로고    scopus 로고
    • The multivariate skew-normal distribution
    • AZZALINI, A. and DALLA VALLE, A. (1996) The multivariate skew-normal distribution, Biometrika, 83, 715-726.
    • (1996) Biometrika , vol.83 , pp. 715-726
    • Azzalini, A.1    Dalla Valle, A.2
  • 7
    • 38149016755 scopus 로고    scopus 로고
    • On Gauss's characterization of the normal distribution
    • AZZALINI, A. and GENTON, M. G. (2007) On Gauss's characterization of the normal distribution, Bernoulli, 13, 169-174.
    • (2007) Bernoulli , vol.13 , pp. 169-174
    • Azzalini, A.1    Genton, M.G.2
  • 8
    • 41849143354 scopus 로고    scopus 로고
    • Robust likelihood methods based on the skew-t and related distributions
    • AZZALINI, A. and GENTON, M. G. (2008) Robust likelihood methods based on the skew-t and related distributions, International Statistical Review, 76, 106-129.
    • (2008) International Statistical Review , vol.76 , pp. 106-129
    • Azzalini, A.1    Genton, M.G.2
  • 10
    • 3843050057 scopus 로고    scopus 로고
    • Confidence regions when the Fisher information is zero
    • BOTTAI, M. (2003) Confidence regions when the Fisher information is zero, Biometrika, 90, 73-84.
    • (2003) Biometrika , vol.90 , pp. 73-84
    • Bottai, M.1
  • 11
    • 0035178888 scopus 로고    scopus 로고
    • A general class of multivariate skew-elliptical distributions
    • BRANCO, M. D. and DEY, D. K. (2001) A general class of multivariate skew-elliptical distributions, Journal of Multivariate Analysis, 79, 99-113.
    • (2001) Journal of Multivariate Analysis , vol.79 , pp. 99-113
    • Branco, M.D.1    Dey, D.K.2
  • 12
    • 28944442484 scopus 로고    scopus 로고
    • A note on the asymptotic distribution of the maximum likelihood estimator for the scalar skew-normal distribution
    • CHIOGNA, M. (2005) A note on the asymptotic distribution of the maximum likelihood estimator for the scalar skew-normal distribution, Statistical Methods and Applications, 14, 331-341.
    • (2005) Statistical Methods and Applications , vol.14 , pp. 331-341
    • Chiogna, M.1
  • 16
    • 34547322109 scopus 로고    scopus 로고
    • Semiparametrically efficient rank-based inference for shape. I. Optimal rank-based tests for sphericity
    • HALLIN, M. and PAINDAVEINE, D. (2006) Semiparametrically efficient rank-based inference for shape. I. Optimal rank-based tests for sphericity, Annals of Statistics, 34, 2707-2756.
    • (2006) Annals of Statistics , vol.34 , pp. 2707-2756
    • Hallin, M.1    Paindaveine, D.2
  • 17
    • 34249333805 scopus 로고    scopus 로고
    • Skew-symmetric distributions generated by the distribution function of the normal distribution
    • GOMEZ, H. W., VENEGAS, O. and BOLFARINE, H. (2007) Skew-symmetric distributions generated by the distribution function of the normal distribution, Environmetrics, 18, 395-407.
    • (2007) Environmetrics , vol.18 , pp. 395-407
    • Gomez, H.W.1    Venegas, O.2    Bolfarine, H.3
  • 18
    • 77949542317 scopus 로고    scopus 로고
    • On the singularity of multivariate skew-symmetric models
    • LEY, C. and PAINDAVEINE, D. (2010) On the Singularity of Multivariate Skew-Symmetric Models, Journal of Multivariate Analysis, 101, 1434-1444.
    • (2010) Journal of Multivariate Analysis , vol.101 , pp. 1434-1444
    • Ley, C.1    Paindaveine, D.2
  • 20
    • 0012831604 scopus 로고
    • On the maximized likelihood function
    • PATEFIELD, W. M. (1977) On the maximized likelihood function, Sankhyā Series B, 39, 92-96.
    • (1977) Sankhyā Series B , vol.39 , pp. 92-96
    • Patefield, W.M.1
  • 21
    • 0010298684 scopus 로고    scopus 로고
    • Problems of inference for Azzalini's skew-normal distribution
    • PEWSEY, A. (2000) Problems of inference for Azzalini's skew-normal distribution, Journal of Applied Statistics, 27, 859-870.
    • (2000) Journal of Applied Statistics , vol.27 , pp. 859-870
    • Pewsey, A.1
  • 22
    • 0141899476 scopus 로고    scopus 로고
    • Likelihood-based inference with singular information matrix
    • ROTNITZKY, A., Cox, D. R., BOTTAI, M. and ROBERTS, J. (2000) Likelihood-based inference with singular information matrix, Bernoulli, 6, 243-284.
    • (2000) Bernoulli , vol.6 , pp. 243-284
    • Rotnitzky, A.1    Cox, D.R.2    Bottai, M.3    Roberts, J.4
  • 23
    • 4043103972 scopus 로고    scopus 로고
    • A skew-symmetric representation of multivariate distribution
    • WANG, J., BOYER, J. and GENTON, M. G. (2004) A skew-symmetric representation of multivariate distribution, Statistica Sinica, 14, 1259-1270.
    • (2004) Statistica Sinica , vol.14 , pp. 1259-1270
    • Wang, J.1    Boyer, J.2    Genton, M.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.