Information theory and Statistics play an important role in Biological Sciences when we use information measures for the study of diversity and equitability. In this communication, we develop the link among the three disciplines and prove that sampling distributions can be used to develop new information measures. Our study will be an interdisciplinary and will find its applications in Biologic...

Let be a graph. If  , G V E    is a function from the vertex set   V G to the set of positive integers. Then two vertices are   G , u v V   -equitable if     1 u v     . By the degree, equitable adjacency between vertices can be redefine almost all of the variants of the graphs. In this paper we study the degree equitability of the graph by defining equitable connectivity, equ...

The original paper on equitability and the maximal information coefficient (MIC) [Reshef et al., 2011] has generated much discussion and interest, and so far MIC has enjoyed use in a variety of disciplines. This document serves to provide some basic background and understanding of MIC as well as to address some of the questions raised about MIC in the literature, and to provide pointers to rele...

As data sets grow in dimensionality, non-parametric measures of dependence have seen increasing use in data exploration due to their ability to identify non-trivial relationships of all kinds. One common use of these tools is to test a null hypothesis of statistical independence on all variable pairs in a data set. However, because this approach attempts to identify any non-trivial relationship...

A measure of dependence is said to be equitable if it gives similar scores to equally noisy relationships of different types. Equitability is important in data exploration when the goal is to identify a relatively small set of strongest associations within a dataset as opposed to finding as many non-zero associations as possible, which often are too many to sift through. Thus an equitable stati...

The Government Secretariat of Hong Kong has seen steady increases in the need of providing simultaneous interpretation (SI) services at various levels of executive, legislative, legal and urban services meetings. The lack of corresponding addition of interpreters has thus presented a tight manpower scheduling situation. Its distinctive feature of difficultly tight constraint requirements brings...

In many applications, not all the features used to represent data samples are important. Often only a few features are relevant for the prediction task. The choice of dependence measures often affect the final result of many feature selection methods. To select features that have complex nonlinear relationships with the response variable, the dependence measure should be equitable, a concept pr...