caa a22 4500 47576255X CHVBK 20180406123555.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1026567414861 doi (NATIONALLICENCE)springer-10.1023/A:1026567414861 The distribution of a generalized diversity index due to Good [Elektronische Daten] [A.J. Baczkowski, D.N. Joanes, G.M. Shamia] Good (1953, 1982) proposed a generalized diversity index which includes as special cases both Shannon's and Simpson's indices. This index can be further generalized as described in Baczkowski et al. (1997, 1998). In this paper the first four moments of this generalized index are derived for both a general species abundance distribution and the case with all species abundances equal, the equiprobable case. This allows the skewness and kurtosis of the index to be determined and thus gives information about the distribution of the index. Kluwer Academic Publishers, 2000 diversity index nationallicence kurtosis nationallicence skewness nationallicence Baczkowski A.J. Department of Statistics, University of Leeds, LS2 9JT, Leeds, UK aut Joanes D.N. Department of Statistics, University of Leeds, LS2 9JT, Leeds, UK aut Shamia G.M. Department of Statistics, University of Leeds, LS2 9JT, Leeds, UK aut Environmental and Ecological Statistics Kluwer Academic Publishers 7/4(2000-12-01), 329-342 1352-8505 7:4<329 2000 7 10651 https://doi.org/10.1023/A:1026567414861 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026567414861 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baczkowski A.J. Department of Statistics, University of Leeds, LS2 9JT, Leeds, UK aut NATIONALLICENCE 700 1- Joanes D.N. Department of Statistics, University of Leeds, LS2 9JT, Leeds, UK aut NATIONALLICENCE 700 1- Shamia G.M. Department of Statistics, University of Leeds, LS2 9JT, Leeds, UK aut NATIONALLICENCE 773 0- Environmental and Ecological Statistics Kluwer Academic Publishers 7/4(2000-12-01), 329-342 1352-8505 7:4<329 2000 7 10651 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer