메뉴 건너뛰기




Volumn 72, Issue 1, 2010, Pages 70-80

Quadratic entropy and analysis of diversity

Author keywords

Convexity; Diversity measure; Quadratic entropy

Indexed keywords


EID: 77953050288     PISSN: 09727671     EISSN: None     Source Type: Journal    
DOI: 10.1007/s13171-010-0016-3     Document Type: Article
Times cited : (32)

References (27)
  • 1
    • 0020719865 scopus 로고    scopus 로고
    • When does the βth percentile residual life function determine the distribution?
    • Anderson, R.J. and Landis, J.R. (1980). When does the βth percentile residual life function determine the distribution? Oper. Res., 31, 391-396.
    • Oper. Res. , vol.31 , pp. 391-396
    • Anderson, R.J.1    Landis, J.R.2
  • 2
    • 0020126872 scopus 로고
    • On the convexity of divergence measures based on entropy functions
    • Burbea, J. and Rao, C.R. (1982a). On the convexity of divergence measures based on entropy functions. IEEE Trans. Inform. Theory, 28, 489-495.
    • (1982) IEEE Trans. Inform. Theory , vol.28 , pp. 489-495
    • Burbea, J.1    Rao, C.R.2
  • 3
    • 0020205292 scopus 로고
    • On the convexity of higher order Jensen differences based on entropy functions
    • Burbea, J. and Rao, C.R. (1982b). On the convexity of higher order Jensen differences based on entropy functions. IEEE Trans. Inform. Theory, 28, 961-963.
    • (1982) IEEE Trans. Inform. Theory , vol.28 , pp. 961-963
    • Burbea, J.1    Rao, C.R.2
  • 4
    • 0001445688 scopus 로고
    • Entropy differential metric distance and divergence measures in probability spaces: A unified approach
    • Burbea, J. and Rao, C.R. (1982c). Entropy differential metric distance and divergence measures in probability spaces: A unified approach. J. Multivariate Anal., 12, 575-596.
    • (1982) J. Multivariate Anal. , vol.12 , pp. 575-596
    • Burbea, J.1    Rao, C.R.2
  • 5
    • 0036920075 scopus 로고    scopus 로고
    • Quadratic diversity: Its maximization can reduce the richness of species
    • Izsak, J. and Szeidl, L. (2002). Quadratic diversity: its maximization can reduce the richness of species. Environ. Ecol. Stat., 9, 423-430.
    • (2002) Environ. Ecol. Stat. , vol.9 , pp. 423-430
    • Izsak, J.1    Szeidl, L.2
  • 6
    • 0039200867 scopus 로고
    • Characterization of Rao's quadratic entropy
    • Lau, K.S. (1985). Characterization of Rao's quadratic entropy. Sankhyā, Ser. A, 47, 295-309.
    • (1985) Sankhyā, Ser. A , vol.47 , pp. 295-309
    • Lau, K.S.1
  • 7
    • 0000244010 scopus 로고
    • The apportionment of human diversity
    • Lewontin, R.C. (1972). The apportionment of human diversity. Evol. Biol., 6, 381-398.
    • (1972) Evol. Biol. , vol.6 , pp. 381-398
    • Lewontin, R.C.1
  • 8
    • 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
  • 10
    • 0006919926 scopus 로고
    • Analysis of gene diversity in subdivided populations
    • USA
    • Nei, M. (1973). Analysis of gene diversity in subdivided populations. Proc. Natl. Acad. Sci. USA, 70, 3321-3323.
    • (1973) Proc. Natl. Acad. Sci. , vol.70 , pp. 3321-3323
    • Nei, M.1
  • 12
    • 84950435064 scopus 로고
    • Diversity as a concept and its measurements
    • Patil, G.P. and Taillie, C. (1982). Diversity as a concept and its measurements. J. Amer. Statist. Assoc., 77, 548-567.
    • (1982) J. Amer. Statist. Assoc. , vol.77 , pp. 548-567
    • Patil, G.P.1    Taillie, C.2
  • 13
    • 18844397307 scopus 로고    scopus 로고
    • Measuring diversity with Rao's quadratic entropy: Are any dissimilarities suitable?
    • Pavoine, S., Ollier, S. and Pontier, D. (2005). Measuring diversity with Rao's quadratic entropy: Are any dissimilarities suitable? Theor. Popul. Biol., 67, 231-239
    • (2005) Theor. Popul. Biol. , vol.67 , pp. 231-239
    • Pavoine, S.1    Ollier, S.2    Pontier, D.3
  • 14
    • 77953068550 scopus 로고
    • Measures of diversity and applications
    • Proc. Montreal Conf
    • Rao, C.R. (1981). Measures of diversity and applications. In Topics in Applied Statistics. Proc. Montreal Conf.
    • (1981) Topics In Applied Statistics
    • Rao, C.R.1
  • 15
    • 33746117806 scopus 로고
    • Analysis of diversity: A unified approach
    • (S.S. Gupta and J.O. Berger, eds.). Academic Press, New York
    • Rao, C.R. (1982a). Analysis of diversity: A unified approach. In Statistical Decision Theory and Related Topics, III, Vol. 2, (S.S. Gupta and J.O. Berger, eds.). Academic Press, New York, 235-250.
    • (1982) Statistical Decision Theory and Related Topics, III , vol.2 , pp. 235-250
    • Rao, C.R.1
  • 16
    • 0003143622 scopus 로고
    • Diversity and dissimilarity measurements: A unified approach
    • Rao, C.R. (1982b). Diversity and dissimilarity measurements: A unified approach. Theor. Popul. Biol., 21, 24-43.
    • (1982) Theor. Popul. Biol. , vol.21 , pp. 24-43
    • Rao, C.R.1
  • 17
    • 0003098510 scopus 로고
    • Diversity, its measurement, decomposition, apportionment and analysis
    • Rao, C.R. (1982c). Diversity, its measurement, decomposition, apportionment and analysis. Sankhyā, 44, 1-21.
    • (1982) Sankhyā , vol.44 , pp. 1-21
    • Rao, C.R.1
  • 18
    • 0039161303 scopus 로고
    • Gini-Simpson index of diversity: A characterization, generalization and applications
    • Rao, C.R. (1982d). Gini-Simpson index of diversity: A characterization, generalization and applications. Util. Math., 21, 273-282.
    • (1982) Util. Math. , vol.21 , pp. 273-282
    • Rao, C.R.1
  • 19
    • 0345162105 scopus 로고
    • Convexity properties of entropy functions and analysis of diversity
    • (Y.L. Tong, ed.). IMS Lecture Notes Monogr. Ser., 5. IMS, Hayward, CA
    • Rao, C.R. (1984). Convexity properties of entropy functions and analysis of diversity. In Inequalities in Statistics and Probability, (Y.L. Tong, ed.). IMS Lecture Notes Monogr. Ser., 5. IMS, Hayward, CA, 68-77.
    • (1984) Inequalities in Statistics and Probability , pp. 68-77
    • Rao, C.R.1
  • 20
    • 0009243452 scopus 로고
    • Rao's axiomatization of diversity measures
    • Wiley
    • Rao, C.R. (1986). Rao's axiomatization of diversity measures. In Encyclopedia of Statistical Sciences, 7. Wiley, 614-617.
    • (1986) Encyclopedia of Statistical Sciences , vol.7 , pp. 614-617
    • Rao, C.R.1
  • 21
    • 84878027674 scopus 로고    scopus 로고
    • Entropy and cross entropy: Characterizations and applications
    • to appear
    • Rao, C.R. (2010). Entropy and cross entropy: Characterizations and applications. In Alladi Ramakrishnan Memorial Volume, to appear.
    • (2010) Alladi Ramakrishnan Memorial Volume
    • Rao, C.R.1
  • 22
    • 30244449975 scopus 로고
    • Diversity and cluster analysis of blood group data on some human populations
    • (A. Chakravarti, ed.). Van Nostrand Reinhold
    • Rao, C.R. and Boudreau, R. (1982). Diversity and cluster analysis of blood group data on some human populations. In Human Population Genetics: The Pittsburgh Symposium, (A. Chakravarti, ed.). Van Nostrand Reinhold, 331-362.
    • (1982) Human Population Genetics: The Pittsburgh Symposium , pp. 331-362
    • Rao, C.R.1    Boudreau, R.2
  • 23
    • 0022115467 scopus 로고
    • Cross entropy, dissimilarity measures and characterization of quadratic entropy
    • Rao, C.R. and Nayak, T.K. (1985). Cross entropy, dissimilarity measures and characterization of quadratic entropy. IEEE Trans. Inform. Theory, 31, 589-593.
    • (1985) IEEE Trans. Inform. Theory , vol.31 , pp. 589-593
    • Rao, C.R.1    Nayak, T.K.2
  • 24
    • 33749443207 scopus 로고    scopus 로고
    • Towards a unifying approach to diversity measures: Bridging the gap between Shannon entropy and Rao's quadratic index
    • Ricotta, C. and Szeidl, L. (2006). Towards a unifying approach to diversity measures: Bridging the gap between Shannon entropy and Rao's quadratic index. Theor. Popul. Biol., 70, 237-243.
    • (2006) Theor. Popul. Biol. , vol.70 , pp. 237-243
    • Ricotta, C.1    Szeidl, L.2
  • 25
    • 84968492782 scopus 로고
    • Metric spaces and positive definite functions
    • Schoenberg, I.J. (1938). Metric spaces and positive definite functions. Trans. Amer. Math. Soc., 44, 522-536.
    • (1938) Trans. Amer. Math. Soc. , vol.44 , pp. 522-536
    • Schoenberg, I.J.1
  • 26
    • 0003952345 scopus 로고
    • Ergebnisse der Mathematik und ihrer Grenzgebiete, Band, Springer-Verlag, NY
    • Wells, J. and Williams, L. (1975). Embeddings and Extensions in Analysis. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 84. Springer-Verlag, NY.
    • (1975) Embeddings and Extensions in Analysis , vol.84
    • Wells, J.1    Williams, L.2
  • 27
    • 27744460374 scopus 로고    scopus 로고
    • Rao's quadratic entropy as a measure of functional diversity based on multiple traits
    • Zolton, B.-D. (2005). Rao's quadratic entropy as a measure of functional diversity based on multiple traits. J. Vegetation Sci., 16, 533-540.
    • (2005) J. Vegetation Sci. , vol.16 , pp. 533-540
    • Zolton, B.-D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.