Characterization of New Information Measures Via Measures of Central Tendency and Dispersion

Vol-4 | Issue-01 | January 2019 | Published Online: 20 January 2019    PDF ( 273 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 known fact that statistical constants play an extensive role in the field of Statistics. On the other hand, measures of information are used to study uncertainty, diversity, randomness etc. present in different phenomenon. These two fields which are used independent of each other can be clubbed together. In this communication, we have developed the link between the two and proved that the well known standard statistical measures like measures of central tendency can be used as information theoretic measures.

Keywords
Entropy; concavity; symmetry; standard deviation; arithmetic mean; harmonic mean.
Statistics
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