Measuring Information Content through Measures of Central Tendency

Vol-4 | Issue-03 | March 2019 | Published Online: 13 March 2019    PDF ( 303 KB )
Author(s)
Vishal 1; Prachi 2

1Department of Mathematics, S.S.M. College, Dinanagar (India)

2Department of Mathematics, S.S.M. College, Dinanagar (India)

Abstract

It is well known that Statistics is the field which is extensively used for the measurement of central tendency, dispersion, comparison and covariation. On the other hand, measures of information are used to study diversity and equitability. These two fields have been used independent of each other for data analysis. In this communication, we develop the link between the two and prove that the well known standard statistical measures can be used as information measures. Our study will be a new interdisciplinary field of research and it will be possible to describe information content of a system from its statistics.

Keywords
Entropy; concavity; symmetry; arithmetic mean; geometric mean; harmonic mean; equitability
Statistics
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