메뉴 건너뛰기




Volumn 99, Issue 8, 2008, Pages 1758-1771

A class of weighted multivariate normal distributions and its properties

Author keywords

62E10; 62F30; Constrained normal mean vector; Doubly truncated normal; Probabilistic representation; Selection model; Weighted multivariate normal distribution

Indexed keywords


EID: 48549091393     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2008.01.008     Document Type: Article
Times cited : (31)

References (24)
  • 1
    • 33847711934 scopus 로고    scopus 로고
    • On unification of families of skew-normal distributions
    • Arellano-Valle R.B., and Azzalini A. On unification of families of skew-normal distributions. Scand. J. Statist. 33 (2006) 561-574
    • (2006) Scand. J. Statist. , vol.33 , pp. 561-574
    • Arellano-Valle, R.B.1    Azzalini, A.2
  • 2
    • 33847740979 scopus 로고    scopus 로고
    • A unified view on skewed distributions arising from selections
    • Arellano-Valle R.B., Branco M.D., and Genton M.G. A unified view on skewed distributions arising from selections. Canad. J. Statist. 34 (2006) 581-601
    • (2006) Canad. J. Statist. , vol.34 , pp. 581-601
    • Arellano-Valle, R.B.1    Branco, M.D.2    Genton, M.G.3
  • 3
    • 0036619050 scopus 로고    scopus 로고
    • Skewed multivariate models related to hidden truncation and/or selective reporting
    • Arnold B.C., and Beaver R.J. Skewed multivariate models related to hidden truncation and/or selective reporting. Test 11 (2002) 7-54
    • (2002) Test , vol.11 , pp. 7-54
    • Arnold, B.C.1    Beaver, R.J.2
  • 4
    • 21144460503 scopus 로고
    • The nontruncated marginal of a truncated bivariate normal distribution
    • Arnold B.C., Beaver R.J., Groeneveld R.A., and Meeker W.Q. The nontruncated marginal of a truncated bivariate normal distribution. Psychometrica 58 (1993) 471-478
    • (1993) Psychometrica , vol.58 , pp. 471-478
    • Arnold, B.C.1    Beaver, R.J.2    Groeneveld, R.A.3    Meeker, W.Q.4
  • 5
    • 0001036819 scopus 로고
    • A class of distributions which includes the normal ones
    • Azzalini A. A class of distributions which includes the normal ones. Scand. J. Statist. 12 (1985) 171-178
    • (1985) Scand. J. Statist. , vol.12 , pp. 171-178
    • Azzalini, A.1
  • 6
    • 19744373319 scopus 로고    scopus 로고
    • The skew-normal distribution and related multivariate families (with discussion)
    • Azzalini A. The skew-normal distribution and related multivariate families (with discussion). Scand. J. Statist. 32 (2005) 159-188
    • (2005) Scand. J. Statist. , vol.32 , pp. 159-188
    • Azzalini, A.1
  • 7
    • 0001417140 scopus 로고    scopus 로고
    • The multivariate skew-normal distribution
    • Azzalini A., and Dalla Valle A. The multivariate skew-normal distribution. Biometrika 83 (1996) 715-726
    • (1996) Biometrika , vol.83 , pp. 715-726
    • Azzalini, A.1    Dalla Valle, A.2
  • 8
    • 0344521704 scopus 로고
    • Bernardo J.M., Berger J.O., Dawid A.P., and Smith A.F.M. (Eds), Oxford University Press, Oxford
    • Bayarri M.J., and DeGroot M. In: Bernardo J.M., Berger J.O., Dawid A.P., and Smith A.F.M. (Eds). A BAD View of Weighted Distributions and Selection Models. Bayesian Statistics vol. 4 (1992), Oxford University Press, Oxford
    • (1992) Bayesian Statistics , vol.4
    • Bayarri, M.J.1    DeGroot, M.2
  • 10
    • 0035178888 scopus 로고    scopus 로고
    • A general class of multivariate skew-normal distributions
    • Branco M.D., and Dey D.K. A general class of multivariate skew-normal distributions. J. Multivariate Anal. 79 (2001) 99-113
    • (2001) J. Multivariate Anal. , vol.79 , pp. 99-113
    • Branco, M.D.1    Dey, D.K.2
  • 14
    • 19744367956 scopus 로고    scopus 로고
    • Discussion of "the skew-normal"
    • Genton M.G. Discussion of "the skew-normal". Scand. J. Statist. 32 (2005) 189-198
    • (2005) Scand. J. Statist. , vol.32 , pp. 189-198
    • Genton, M.G.1
  • 15
    • 21844511904 scopus 로고
    • Approximation to multivariate rectangle probabilities based on conditional expectations
    • Joe H. Approximation to multivariate rectangle probabilities based on conditional expectations. J. Amer. Statist. Assoc. 90 (1995) 957-966
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 957-966
    • Joe, H.1
  • 17
    • 30944460141 scopus 로고    scopus 로고
    • On a class of two-piece skew-normal distributions
    • Kim H.J. On a class of two-piece skew-normal distributions. Statistics 39 (2005) 537-553
    • (2005) Statistics , vol.39 , pp. 537-553
    • Kim, H.J.1
  • 18
    • 19744378929 scopus 로고    scopus 로고
    • Skew-elliptical distributions in Bayesian inference
    • Genton M.G. (Ed), Chapman & Hall, New York
    • Liseo B. Skew-elliptical distributions in Bayesian inference. In: Genton M.G. (Ed). Skew-Elliptical Distributions and their Applications (2004), Chapman & Hall, New York 153-171
    • (2004) Skew-Elliptical Distributions and their Applications , pp. 153-171
    • Liseo, B.1
  • 19
    • 4043087814 scopus 로고    scopus 로고
    • A flexible class of skew-symmetric distributions
    • Ma Y., and Genton M.G. A flexible class of skew-symmetric distributions. Scand. J. Statist. 31 (2004) 459-468
    • (2004) Scand. J. Statist. , vol.31 , pp. 459-468
    • Ma, Y.1    Genton, M.G.2
  • 20
    • 19744376609 scopus 로고    scopus 로고
    • Locally efficient semiparametric estimators for generalized skew-elliptical distributions
    • Ma Y., Genton M.G., and Tsiatis A.A. Locally efficient semiparametric estimators for generalized skew-elliptical distributions. J. Amer. Statist. Assoc. 100 (2005) 980-989
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 980-989
    • Ma, Y.1    Genton, M.G.2    Tsiatis, A.A.3
  • 21
    • 0000202955 scopus 로고    scopus 로고
    • A numerical procedure to generate a sample covariance matrix
    • Odell P.L., and Feiveson A.H. A numerical procedure to generate a sample covariance matrix. J. Amer. Statist. Assoc. 61 (1996) 199-203
    • (1996) J. Amer. Statist. Assoc. , vol.61 , pp. 199-203
    • Odell, P.L.1    Feiveson, A.H.2
  • 23
    • 0001792773 scopus 로고
    • Weighted distributions arising out of methods of ascertainment
    • Aitkinson A.G., and Feinberg S.E. (Eds), Springer, New York
    • Rao C.R. Weighted distributions arising out of methods of ascertainment. In: Aitkinson A.G., and Feinberg S.E. (Eds). A Celebration of Statistics: The ISI Centenary Volume (1985), Springer, New York
    • (1985) A Celebration of Statistics: The ISI Centenary Volume
    • Rao, C.R.1
  • 24
    • 0008773349 scopus 로고
    • Pearson diagrams for truncated normal and truncated Weibull distributions
    • Sugiura N., and Gomi A. Pearson diagrams for truncated normal and truncated Weibull distributions. Biometrika 72 (1985) 219-222
    • (1985) Biometrika , vol.72 , pp. 219-222
    • Sugiura, N.1    Gomi, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.