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Analysis Study Research Paper | Mathematics | India | Volume 13 Issue 6, June 2024 | Popularity: 4.3 / 10

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P-Norm and Some of its Basic Properties: A Review

Neha Bhardwaj

Abstract: A number of information measures, including Shannon's information measure and the measures of order ? and type ?, have been created and thoroughly examined. These metrics are used in coding theory, statistics, and pattern recognition, among other fields. This research aims to examine the fundamental characteristics of the P-Norm information measure, which is a generalized class of information measures as noted by Arimoto. Many interesting algebraic and analytic features of this measure will also be discussed. It is also explored whether Shannon's measure may be derived from the P-norm information measure as the limiting case for P ? 1. It is also discussed that the measure lacks the additivity feature, even if it displays a form of additivity that we will call Pseudo-additivity.

Keywords: Shannon's information measure, P-Norm information measure, coding theory, pattern recognition, Pseudo-additivity

Edition: Volume 13 Issue 6, June 2024

Pages: 1042 - 1045

DOI: https://www.doi.org/10.21275/SR24612205908

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