Generalization of Renyi’s Entropy and its Application in Source Coding

Authors

Ashiq Hussain Bhat, Department of Biostatistics, Indian Council of Medical Research-Rajendra Memorial Research Institute of Medical Sciences, Agamkuan, Patna, 800007, Bihar, IndiaFollow
Niyamat Ali Siddiqui, Department of Biostatistics, Indian Council of Medical Research-Rajendra Memorial Research Institute of Medical Sciences, Agamkuan, Patna, 800007, Bihar, IndiaFollow
Ismail A Mageed, Department of Computer Science, Faculty of engineering and Informatics, University of Bradford, Bradford, United KingdomFollow
Shawkat Alkhazaleh, Department of Mathematics, Faculty of Science and Information Technology, Jadara University, JordanFollow
Vidyanand Rabi Das, Department of Clinical Medicines , Indian Council of Medical Research- Rajendra Memorial Research Institute of Medical Sciences, Agamkuan, Patna, 800007, Bihar, IndiaFollow
M. A. K Baig, Department of Statistics, University of Kashmir, Srinagar, 190006, IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper, we introduce a new generalization of Renyis entropy β(P) and the most important feature of this generalized entropy Rαβ (P) is that it derives most important entropies that are well known and influence information theory and applied mathematics. Some significant properties of Rαβ (P) has been undertaken in this article. In addition, we introduce a new generalized exponentiated mean codeword length Lβα (P) in this article then determine how Rβα (P) and Lβα (P) are related in terms of source coding theorem.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/amis/170521

Recommended Citation

Hussain Bhat, Ashiq; Ali Siddiqui, Niyamat; A Mageed, Ismail; Alkhazaleh, Shawkat; Rabi Das, Vidyanand; and A. K Baig, M. (2023) "Generalization of Renyi’s Entropy and its Application in Source Coding," Applied Mathematics & Information Sciences: Vol. 17: Iss. 5, Article 21.
DOI: https://dx.doi.org/10.18576/amis/170521
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss5/21