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Volumn 63, Issue 3, 2005, Pages 329-349

Gini diversity index, Hamming distance, and curse of dimensionality

Author keywords

ANOVA decomposability; Diversity analysis; Multi dimensional categorical data models; Qualitative traits

Indexed keywords


EID: 51749101834     PISSN: 00261424     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (20)

References (40)
  • 1
    • 84963421406 scopus 로고
    • CATANOVA for multi-dimensional contingency tables: Nominal-scale response
    • Anderson, R. J. and Landis, J. R. (1980) CATANOVA for multi-dimensional contingency tables: Nominal-scale response, Commun. Statist. Theor. Meth., 9, 1191-1206.
    • (1980) Commun. Statist. Theor. Meth , vol.9 , pp. 1191-1206
    • Anderson, R.J.1    Landis, J.R.2
  • 2
    • 84963137722 scopus 로고
    • CATANOVA for multi-dimensional contingency tables: Ordinal-scale response
    • Anderson, R. J. and Landis, J. R. (1982) CATANOVA for multi-dimensional contingency tables: Ordinal-scale response, Commun. Statist. Theor. Meth., 11, 257-270.
    • (1982) Commun. Statist. Theor. Meth , vol.11 , pp. 257-270
    • Anderson, R.J.1    Landis, J.R.2
  • 4
    • 76849093310 scopus 로고    scopus 로고
    • On stochastic ordering and a general class of poverty indexes
    • Chatterjee, S. K. and Sen, P. K. (2000) On stochastic ordering and a general class of poverty indexes, Calcutta Statist. Assoc. Bull., 50, 137-156.
    • (2000) Calcutta Statist. Assoc. Bull , vol.50 , pp. 137-156
    • Chatterjee, S.K.1    Sen, P.K.2
  • 5
    • 0000457250 scopus 로고
    • Central limit theorems for dependent random variables
    • L. LeCam et al. (eds.), Univ. California Press., Los Angeles
    • Dvoretzky, A. (1972) Central limit theorems for dependent random variables, Proc. Sixth Berkeley Symp. Math. Statist. Probab., L. LeCam et al. (eds.)) Univ. California Press., Los Angeles. Vol 2, 513-555.
    • (1972) Proc. Sixth Berkeley Symp. Math. Statist. Probab , vol.2 , pp. 513-555
    • Dvoretzky, A.1
  • 6
    • 0001496403 scopus 로고
    • Inequality and poverty ordering
    • Foster, J. and Shorrocks, A. F. (1988) Inequality and poverty ordering, Euro. Econ. Rev., 32, 654-662.
    • (1988) Euro. Econ. Rev , vol.32 , pp. 654-662
    • Foster, J.1    Shorrocks, A.F.2
  • 8
    • 0001744704 scopus 로고
    • A class of statistics with asymptotically normal distribution
    • Hoeffding, W. (1948) A class of statistics with asymptotically normal distribution, Ann. Math. Statist., 19, 293-325.
    • (1948) Ann. Math. Statist , vol.19 , pp. 293-325
    • Hoeffding, W.1
  • 10
    • 77649099980 scopus 로고
    • An analysis of variance for categorical data
    • Light, R. J. and Margolin, B. H. (1971) An analysis of variance for categorical data, J. Amer. Statist. Assoc., 66, 534-544.
    • (1971) J. Amer. Statist. Assoc , vol.66 , pp. 534-544
    • Light, R.J.1    Margolin, B.H.2
  • 11
    • 0001191445 scopus 로고
    • An analysis of variance for categorical data II : Small sample comparisons with chi square and other competitors
    • Light, R. J. and Margolin, B. H. (1974) An analysis of variance for categorical data II : Small sample comparisons with chi square and other competitors, J. Amer. Statist. Assoc., 69, 755-764.
    • (1974) J. Amer. Statist. Assoc , vol.69 , pp. 755-764
    • Light, R.J.1    Margolin, B.H.2
  • 12
    • 84935761346 scopus 로고
    • Method of measuring concentration of wealth
    • Lorenz, M. O. (1905) Method of measuring concentration of wealth, J. Amer. Statist. Assoc., 9, 209-219.
    • (1905) J. Amer. Statist. Assoc , vol.9 , pp. 209-219
    • Lorenz, M.O.1
  • 15
    • 0039921990 scopus 로고
    • An analysis of diversity using Rao's quadratic entropy
    • Nayak, T. K. (1986) An analysis of diversity using Rao's quadratic entropy, Sankhya, B 48, 1-9.
    • (1986) Sankhya, B , vol.48 , pp. 1-9
    • Nayak, T.K.1
  • 16
    • 0039921990 scopus 로고
    • Sampling distribution in analysis of diversity
    • Nayak, T. K. (1986) Sampling distribution in analysis of diversity, Sankhya, B 48, 315-330.
    • (1986) Sankhya, B , vol.48 , pp. 315-330
    • Nayak, T.K.1
  • 17
    • 2342562199 scopus 로고
    • The use of diversity analysis to assess the relative influence of factors affecting the income distribution
    • Nayak, T. K. and Gastwirth, J. L. (1989) The use of diversity analysis to assess the relative influence of factors affecting the income distribution, J. Bus. Econ. Statist., 7, 453-460.
    • (1989) J. Bus. Econ. Statist , vol.7 , pp. 453-460
    • Nayak, T.K.1    Gastwirth, J.L.2
  • 18
    • 84891429621 scopus 로고    scopus 로고
    • Decomposability of high-dimensional diversity measures: Quasi U-statistics
    • submitted for publication
    • Pinheiro, A. S., Sen, P. K., and Pinheiro, H. P. (2005) Decomposability of high-dimensional diversity measures: Quasi U-statistics, martingales and nonstandard asymptotics, submitted for publication.
    • (2005) Martingales and Nonstandard Asymptotics
    • Pinheiro, A.S.1    Sen, P.K.2    Pinheiro, H.P.3
  • 20
    • 11244348120 scopus 로고    scopus 로고
    • Analysis of genomic sequence using Hamming distance
    • Pinheiro, H. P., Pinheiro, A. S., and Sen, P. K. (2005) Analysis of genomic sequence using Hamming distance, J. Statist. Plan. Infer., 130, 325-339.
    • (2005) J. Statist. Plan. Infer , vol.130 , pp. 325-339
    • Pinheiro, H.P.1    Pinheiro, A.S.2    Sen, P.K.3
  • 21
    • 0003143622 scopus 로고
    • Diversity and dissimilarity coefficients: A unified approach
    • Rao, C. R. (1982) Diversity and dissimilarity coefficients: A unified approach, Theor. Popln. Biol., 21, 24-43.
    • (1982) Theor. Popln. Biol , vol.21 , pp. 24-43
    • Rao, C.R.1
  • 22
    • 0003098510 scopus 로고
    • Diversity: Its measurement, decomposition, apportionment and analysis
    • Rao, C. R. (1982) Diversity: Its measurement, decomposition, apportionment and analysis, Sankhya, A 44, 1-21.
    • (1982) Sankhya, A , vol.44 , pp. 1-21
    • Rao, C.R.1
  • 23
    • 0039161303 scopus 로고
    • Gini-Simpson index of diversity: A characterization, generalization and applications
    • Rao, C. R. (1982) Gini-Simpson index of diversity: A characterization, generalization and applications, Utilitas Mathematica, 21, 273-282.
    • (1982) Utilitas Mathematica , vol.21 , pp. 273-282
    • Rao, C.R.1
  • 24
    • 0345162105 scopus 로고
    • Convexity properties of entropy functions and analysis of diversity
    • Tong (ed.), Inst. Math. Statist., Hayword, Calif
    • Rao, C. R. (1984) Convexity properties of entropy functions and analysis of diversity., In: Inequalities in Statistics and Probability, Tong (ed.), Inst. Math. Statist., Hayword, Calif.
    • (1984) Inequalities in Statistics and Probability
    • Rao, C.R.1
  • 25
    • 17644378739 scopus 로고    scopus 로고
    • Nonparametric tests for association of multiple genes with human disease
    • Schaid, D. J., McDonnell, S. K., Hebbring, S. J., and Cunningham, J. M. (2005) Nonparametric tests for association of multiple genes with human disease, Amer. J. Human. Gen., 76, 780- 793.
    • (2005) Amer. J. Human. Gen , vol.76 , pp. 780-793
    • Schaid, D.J.1    McDonnell, S.K.2    Hebbring, S.J.3    Cunningham, J.M.4
  • 27
    • 0000641214 scopus 로고
    • Measurement of poverty: An axiomatic approach
    • Sen, A. K. (1976) Measurement of poverty: An axiomatic approach, Econometrica, 44, 219-232.
    • (1976) Econometrica , vol.44 , pp. 219-232
    • Sen, A.K.1
  • 29
    • 0001632531 scopus 로고
    • The Gini coefficient and poverty indexes: Some reconciliations
    • Sen, P. K. (1986) The Gini coefficient and poverty indexes: Some reconciliations, J. Amer. Statist. Assoc., 81, 1050-1057.
    • (1986) J. Amer. Statist. Assoc , vol.81 , pp. 1050-1057
    • Sen, P.K.1
  • 30
    • 38249027278 scopus 로고
    • The harmonic Gini coefficient and affluence indexes
    • Sen, P. K. (1988) The harmonic Gini coefficient and affluence indexes, Math. Social Sci., 16, 65-76.
    • (1988) Math. Social Sci , vol.16 , pp. 65-76
    • Sen, P.K.1
  • 31
    • 11244252187 scopus 로고    scopus 로고
    • Utility-oriented Simpson-type indexes and inequality measures
    • Sen, P. K. (1999) Utility-oriented Simpson-type indexes and inequality measures, Calcutta Statist. Assoc. Bull., 49, 1-21.
    • (1999) Calcutta Statist. Assoc. Bull , vol.49 , pp. 1-21
    • Sen, P.K.1
  • 32
    • 84891472346 scopus 로고    scopus 로고
    • Excursions in biostochastics: Biometry to biostatistics to bioinformatics
    • Academia Sinica, Taipei, Taiwan
    • Sen, P. K. (2004) Excursions in Biostochastics: Biometry to Biostatistics to Bioinformatics, Invited Lecture Series in Statistical Science, Academia Sinica, Taipei, Taiwan, 205.
    • (2004) Invited Lecture Series in Statistical Science , pp. 205
    • Sen, P.K.1
  • 33
    • 34250767566 scopus 로고    scopus 로고
    • Nonparametric tests for ordered diversity in a genomic sequence
    • in press
    • Sen, P. K. (2005) Nonparametric tests for ordered diversity in a genomic sequence, J. Statist. Res., in press.
    • (2005) J. Statist. Res
    • Sen, P.K.1
  • 36
    • 0000762876 scopus 로고
    • The class of additively decomposable inequality measures
    • Shorrocks, A. F. (1980) The class of additively decomposable inequality measures, Econometrica, 48, 613-625.
    • (1980) Econometrica , vol.48 , pp. 613-625
    • Shorrocks, A.F.1
  • 37
    • 33344464667 scopus 로고
    • Measurement of diversity
    • Simpson, E. H. (1949) Measurement of diversity, Nature, 163, 688.
    • (1949) Nature , vol.163 , pp. 688
    • Simpson, E.H.1
  • 38
    • 18744376602 scopus 로고    scopus 로고
    • Asymptotically optimal tests for parametric functions against ordered functional alternatives
    • Tsai, M.-T. and Sen, P. K. (2005) Asymptotically optimal tests for parametric functions against ordered functional alternatives, J. Multivar. Anal., 95, 37-49.
    • (2005) J. Multivar. Anal , vol.95 , pp. 37-49
    • Tsai, M.-T.1    Sen, P.K.2
  • 40
    • 0004108421 scopus 로고
    • John Wiley, New York
    • Wiener, N. (1948) Cybernetics, John Wiley, New York.
    • (1948) Cybernetics
    • Wiener, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.