Sankhya A

, Volume 72, Issue 1, pp 70–80

Quadratic entropy and analysis of diversity

Authors

    • CRRao AIMSCS
    • C. R. Rao Advanced Institute of Mathematics Statistics and Computer Science
Article

DOI: 10.1007/s13171-010-0016-3

Cite this article as:
Rao, C.R. Sankhya (2010) 72: 70. doi:10.1007/s13171-010-0016-3

Abstract

In this paper some general postulates are laid down for the construction of diversity measures and conditions for ANOVA type of analysis are investigated. It is shown that a diversity measure called quadratic entropy introduced by the author in 1982, applicable to both qualitative and quantitative data, provides a general solution to both the problems posed above.

Keywords and phrases

Diversity measurequadratic entropyconvexity

AMS (2000) subject classification

Primary 62A01, 62H30, 62B10, 94A17

Copyright information

© Indian Statistical Institute 2010