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Volumn 35, Issue 6, 2003, Pages 667-680

Characterization of distributional forms for compositional data and associated distributional tests

Author keywords

Angular; Logistic skew normal distribution; Logistic normal distribution; Logistic student distribution; Marginal; Radius tests of normality; Simplicial singular value decomposition

Indexed keywords

MATHEMATICAL ANALYSIS; STATISTICAL DISTRIBUTION;

EID: 4344629393     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MATG.0000002983.12476.89     Document Type: Article
Times cited : (18)

References (20)
  • 1
    • 0002769176 scopus 로고
    • Principal component analysis of compositional data
    • Aitchison, J., 1983, Principal component analysis of compositional data: Biometrika, v. 70, no. 1, p. 57-65.
    • (1983) Biometrika , vol.70 , Issue.1 , pp. 57-65
    • Aitchison, J.1
  • 2
    • 0003671433 scopus 로고
    • Chapman and Hall, London Reprinted in 2003 by The Blackburn Press, Caldwell, NJ
    • Aitchison, J., 1986, The statistical analysis of compositional data: Chapman and Hall, London, 416 p. Reprinted in 2003 by The Blackburn Press, Caldwell, NJ.
    • (1986) The Statistical Analysis of Compositional Data , pp. 416
    • Aitchison, J.1
  • 3
    • 0025638328 scopus 로고
    • Relative variation diagrams for describing patterns of variability of compositional data
    • Aitchison, J., 1990, Relative variation diagrams for describing patterns of variability of compositional data: Math. Geol. v. 24, no. 4, p. 487-512.
    • (1990) Math. Geol. , vol.24 , Issue.4 , pp. 487-512
    • Aitchison, J.1
  • 4
    • 0026459054 scopus 로고
    • On criteria for measures of compositional differences
    • Aitchison, J., 1992, On criteria for measures of compositional differences: Math. Geol. v. 24, no.4, p. 365-380.
    • (1992) Math. Geol. , vol.24 , Issue.4 , pp. 365-380
    • Aitchison, J.1
  • 5
    • 0004437577 scopus 로고    scopus 로고
    • Convex linear combinations of compositions
    • Aitchison, J., and Bacon-Shone, J. H., 1999, Convex linear combinations of compositions: Biometrika, v. 86, no. 2, p. 351-364.
    • (1999) Biometrika , vol.86 , Issue.2 , pp. 351-364
    • Aitchison, J.1    Bacon-Shone, J.H.2
  • 7
    • 0036406446 scopus 로고    scopus 로고
    • Biplots for compositional data
    • Aitchison, J., and Greenacre, M., 2002, Biplots for compositional data: Appl. Statist., v. 51, no. 4, p. 375-382.
    • (2002) Appl. Statist. , vol.51 , Issue.4 , pp. 375-382
    • Aitchison, J.1    Greenacre, M.2
  • 8
    • 0001417140 scopus 로고    scopus 로고
    • The multivariate skew-normal distribution
    • Azzallini, A., and Dalla Valle, A., 1996, The multivariate skew-normal distribution: Biometrika, v. 83, no. 4, 715-726.
    • (1996) Biometrika , vol.83 , Issue.4 , pp. 715-726
    • Azzallini, A.1    Dalla Valle, A.2
  • 9
    • 0001122047 scopus 로고    scopus 로고
    • Statistical applications of the multivariate skew-normal distribution
    • Azzalini, A., and Capitanio, A., 1999, Statistical applications of the multivariate skew-normal distribution: J. R. Statist Soc. B, v. 61, no. 3, p. 579-602.
    • (1999) J. R. Statist. Soc. B , vol.61 , Issue.3 , pp. 579-602
    • Azzalini, A.1    Capitanio, A.2
  • 10
    • 0030455321 scopus 로고    scopus 로고
    • Some aspects of transformations of compositional data and the identification of outliers
    • Barcelo, C., Pawlowsky, V., and Grunsky, E., 1996, Some aspects of transformations of compositional data and the identification of outliers: Math. Geol. v. 28, no. 4, p. 501-518.
    • (1996) Math. Geol. , vol.28 , Issue.4 , pp. 501-518
    • Barcelo, C.1    Pawlowsky, V.2    Grunsky, E.3
  • 11
    • 0000133998 scopus 로고
    • The analysis of transformations
    • Box, G. E. P., and Cox, D. R., 1964, The analysis of transformations: J. R. Statist. Soc. B, v. 26, no. 2, p. 211-252.
    • (1964) J. R. Statist. Soc. B , vol.26 , Issue.2 , pp. 211-252
    • Box, G.E.P.1    Cox, D.R.2
  • 12
    • 0000706408 scopus 로고
    • Sedimentation in an Arctic lake
    • Coakley, J. P., and Rust, B. R., 1968, Sedimentation in an Arctic lake: J. Sed. Petro. v. 38, p. 1290-1300.
    • (1968) J. Sed. Petro. , vol.38 , pp. 1290-1300
    • Coakley, J.P.1    Rust, B.R.2
  • 13
    • 4344604192 scopus 로고    scopus 로고
    • A test for the hypothesis of skew-normality in a population
    • Manuscript submitted for publication
    • Dalla-Valle, A., manuscript submitted for publication, A test for the hypothesis of skew-normality in a population: J Statist Computat Simulat.
    • J. Statist. Computat. Simulat.
    • Dalla-Valle, A.1
  • 14
    • 31244433334 scopus 로고    scopus 로고
    • Goodness-of-fit tests for the skew-normal distribution
    • Gupta, A. K., and Tuhao, C., 2001, Goodness-of-fit tests for the skew-normal distribution. Commun. Statist. Simulation, v. 30, no. 4, p. 907-930.
    • (2001) Commun. Statist. Simulation , vol.30 , Issue.4 , pp. 907-930
    • Gupta, A.K.1    Tuhao, C.2
  • 16
    • 4344571560 scopus 로고    scopus 로고
    • Models de distribució sobre el símplex
    • PhD thesis: Universitat Politècnica de Catalunya, Barcelona (E)
    • Mateu-Figueras, G., 2003, Models de distribució sobre el símplex. PhD thesis: Universitat Politècnica de Catalunya, Barcelona (E).
    • (2003)
    • Mateu-Figueras, G.1
  • 17
    • 0003954507 scopus 로고    scopus 로고
    • A primer of multivariate statistical analysis in geology
    • Elsevier, Amsterdam
    • Reyment, R. A, and Savazzi, S., 1999, A primer of multivariate statistical analysis in geology: Elsevier, Amsterdam, 285 p.
    • (1999) , pp. 285
    • Reyment, R.A.1    Savazzi, S.2
  • 18
    • 4344634734 scopus 로고    scopus 로고
    • The use of logratios in subcompositional analysis and geochemical discrimination of metamorphosed limestones from the northeast and central Scottish Highlands
    • Buccianti, A., Nardi, G., and Potenza, R., eds., De Frede, Naples
    • Thomas, C. W., and Aitchison, J., 1998, The use of logratios in subcompositional analysis and geochemical discrimination of metamorphosed limestones from the northeast and central Scottish Highlands, in Buccianti, A., Nardi, G., and Potenza, R., eds., Proceedings of the Fourth Annual Conference of the International Association for Mathematical Geology; De Frede, Naples, p. 549-554.
    • (1998) Proceedings of the Fourth Annual Conference of the International Association for Mathematical Geology , pp. 549-554
    • Thomas, C.W.1    Aitchison, J.2
  • 19
    • 0001540350 scopus 로고
    • Major element chemical variation in the Eocene lavas of the Isle of Skye
    • Thompson, R. N., Esson, J., and Duncan, A. C., 1972, Major element chemical variation in the Eocene lavas of the Isle of Skye: J. Petro., v. 13, p. 219-253.
    • (1972) J. Petro. , vol.13 , pp. 219-253
    • Thompson, R.N.1    Esson, J.2    Duncan, A.C.3
  • 20
    • 0009663040 scopus 로고
    • The petrology of some vitriophyric calc alkaline volcanins from the Carboiniferous of New South Wales
    • Wilkoxon, J. F. G., 1971, The petrology of some vitriophyric calc alkaline volcanins from the Carboiniferous of New South Wales: J. Petrology, v. 12, p. 587-649.
    • (1971) J. Petrology , vol.12 , pp. 587-649
    • Wilkoxon, J.F.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.