IJPAM: Volume 81, No. 5 (2012)

GENERATING INFORMATION MEASURES
VIA MATRIX OVER PROBABILITY SPACES

Mukesh Sarangal$^1$, G.S. Buttar$^2$, A.K. Thukral$^3$
$^{1,2}$Department of Mathematics
Guru Nanak Dev University
Amritsar, 143005, INDIA
$^3$Department of Botanical and Environmental Sciences
Guru Nanak Dev University
Amritsar, 143005, INDIA


Abstract. In the present communication, we have generated some new information theoretic measures through the diagonal and non-diagonal elements of the matrix of probability terms obtained by post multiplication of a column vector by a row vector. The elements of columns of such a matrix consists of linear function whereas the row elements are in the form of linear, power, exponential, trigonometric and hyperbolic function. The concept will find application in measurement of diversity in biological systems and in other disciplines using information theory.

Received: July 7, 2012

AMS Subject Classification: 94A

Key Words and Phrases: uncertainty, entropy, concavity, symmetry, expansibility

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 5