메뉴 건너뛰기




Volumn 25, Issue 5, 1997, Pages 1984-1997

Skewness for multivariate distributions: Two approaches

Author keywords

Central parts; Interquantile intervals; Orderings; Skewness; Spatial median; Tailweight

Indexed keywords


EID: 0031486458     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1069362381     Document Type: Article
Times cited : (12)

References (24)
  • 3
    • 0000435292 scopus 로고
    • The ordering of multivariate data
    • BARNETT, V. (1976). The ordering of multivariate data. J. Roy. Statist. Soc. Ser. A 139 318-355.
    • (1976) J. Roy. Statist. Soc. Ser. A , vol.139 , pp. 318-355
    • Barnett, V.1
  • 4
    • 0030542498 scopus 로고    scopus 로고
    • Concepts and measures for skewness with data-analytic implications
    • BENJAMINI, Y. and KRIEGER, A. M. (1996). Concepts and measures for skewness with data-analytic implications. Canad. J. Statist. 24 131-140.
    • (1996) Canad. J. Statist. , vol.24 , pp. 131-140
    • Benjamini, Y.1    Krieger, A.M.2
  • 5
    • 0012538205 scopus 로고
    • Multivariate symmetry via projection pursuit
    • BLOUGH, D. K. (1989). Multivariate symmetry via projection pursuit. Ann. Inst. Statist. Math. 41 461-475.
    • (1989) Ann. Inst. Statist. Math. , vol.41 , pp. 461-475
    • Blough, D.K.1
  • 6
    • 0030540155 scopus 로고    scopus 로고
    • On a geometric notion of quantiles for multivariate data
    • CHAUDHURI, P. (1996). On a geometric notion of quantiles for multivariate data. J. Amer. Statist. Assoc. 91 862-872.
    • (1996) J. Amer. Statist. Assoc. , vol.91 , pp. 862-872
    • Chaudhuri, P.1
  • 7
    • 0009236209 scopus 로고
    • Some test of significance with ordered variables
    • DAVID, F. N. and JOHNSON, N. L. (1956). Some test of significance with ordered variables. J. Roy. Statist. Soc. Ser. B 18 1-20.
    • (1956) J. Roy. Statist. Soc. Ser. B , vol.18 , pp. 1-20
    • David, F.N.1    Johnson, N.L.2
  • 8
    • 0002992274 scopus 로고
    • Measures of location and asymmetry
    • DOKSUM, K. A. (1975). Measures of location and asymmetry. Scand. J. Statist. 2 11-22.
    • (1975) Scand. J. Statist. , vol.2 , pp. 11-22
    • Doksum, K.A.1
  • 9
    • 0000718216 scopus 로고
    • Measuring skewness and kurtosis
    • GRŒNEVELD, R. A. and MEEDEN, G. (1984). Measuring skewness and kurtosis. The Statistician 33 391-399.
    • (1984) The Statistician , vol.33 , pp. 391-399
    • Grœneveld, R.A.1    Meeden, G.2
  • 10
    • 0010774684 scopus 로고
    • Concavity and estimation
    • HABERMAN, S. J. (1989). Concavity and estimation. Ann. Statist. 17 1631-1661.
    • (1989) Ann. Statist. , vol.17 , pp. 1631-1661
    • Haberman, S.J.1
  • 11
    • 0000044484 scopus 로고
    • The median of a finite measure on a Banach space
    • (Y. Dodge, ed.) North-Holland, Amsterdam
    • 1-norm and Related Methods (Y. Dodge, ed.) 217-230. North-Holland, Amsterdam.
    • (1987) 1-norm and Related Methods , pp. 217-230
    • Kemperman, J.H.B.1
  • 12
    • 0000222112 scopus 로고
    • Skewness and asymmetry: Measures and orderings
    • MACGILLIVRAY, H. L. (1986). Skewness and asymmetry: measures and orderings. Ann. Statist. 14 994-1011.
    • (1986) Ann. Statist. , vol.14 , pp. 994-1011
    • Macgillivray, H.L.1
  • 13
    • 84985569526 scopus 로고
    • The relationships between skewness and kurtosis
    • MACGILLIVRAY, H. L. and BALANDA, K. P. (1988). The relationships between skewness and kurtosis. Austral. J. Statist. 30 319-337.
    • (1988) Austral. J. Statist. , vol.30 , pp. 319-337
    • Macgillivray, H.L.1    Balanda, K.P.2
  • 15
    • 2942611661 scopus 로고
    • Measures of multivariate skewness and kurtosis with applications
    • MARDIA, K. V. (1970). Measures of multivariate skewness and kurtosis with applications. Biometrika 57 519-530.
    • (1970) Biometrika , vol.57 , pp. 519-530
    • Mardia, K.V.1
  • 17
    • 0001673501 scopus 로고
    • On location, scale, skewness and kurtosis of univariate distributions
    • OJA, H. (1981). On location, scale, skewness and kurtosis of univariate distributions. Scand. J. Statist. 8 154-168.
    • (1981) Scand. J. Statist. , vol.8 , pp. 154-168
    • Oja, H.1
  • 18
    • 0000107573 scopus 로고
    • Descriptive statistics for multivariate distributions
    • OJA, H. (1983). Descriptive statistics for multivariate distributions. Statist. Probab. Lett. 1 327-332.
    • (1983) Statist. Probab. Lett. , vol.1 , pp. 327-332
    • Oja, H.1
  • 19
    • 0000356499 scopus 로고
    • A survey of multidimensional medians
    • SMALL, C. G. (1990). A survey of multidimensional medians. Internat. Statist. Rev. 58 263-277.
    • (1990) Internat. Statist. Rev. , vol.58 , pp. 263-277
    • Small, C.G.1
  • 20
    • 0013037620 scopus 로고
    • A measure of skewness and kurtosis and a graphical method for assessing multivariate normality
    • IVASTAVA, M. S. (1984). A measure of skewness and kurtosis and a graphical method for assessing multivariate normality. Statist. Probab. Lett. 2 263-267.
    • (1984) Statist. Probab. Lett. , vol.2 , pp. 263-267
    • Ivastava, M.S.1
  • 21
    • 0004041465 scopus 로고
    • Convex transformations of random variables
    • Amsterdam
    • VAN ZWET, W. R. (1964). Convex Transformations of Random Variables. Math. Centrum, Amsterdam.
    • (1964) Math. Centrum
    • Van Zwet, W.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.