Comparison of Different Entropy Measures Using the Relative Loss Approach for the Lomax Distribution

Authors

Muhammad Ijaz, Mathematics (Statistics), The University of Haripur, PakistanFollow
Sundus Naji AL-Aziz, Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi ArabiaFollow
Syed Muhammad Asim, Department of Statistics, University of Peshawar, PakistanFollow
Javid gani dar, Islamic University of Science and Technology, Awantipora, Kashmir, IndiaFollow
Abd Al-Aziz Hosni El-Bagoury, Tanta University, Tanta, EgyptFollow

Abstract

The entropy measures are useful to measures the uncertainty or randomness in data. Their applications are found in Physics, electrical engineering, computer science, and geophysics, etc. In this paper, we considered different entropy measures to evaluate which one of these entropy measures is reliable while modeling the data by the Lomax distribution. For this purpose, the relative loss of each entropy is computed by using the truncated form of the Lomax distribution on [0,t) instead of considering the Lomax distribution on [0,∞). For demonstration purposes, numerical results are obtained and it concluded that the Shannon, Renyi, and Sharma & Mittal entropy measures perform better than others.

Recommended Citation

Ijaz, Muhammad; Naji AL-Aziz, Sundus; Muhammad Asim, Syed; gani dar, Javid; and Al-Aziz Hosni El-Bagoury, Abd (2021) "Comparison of Different Entropy Measures Using the Relative Loss Approach for the Lomax Distribution," Information Sciences Letters: Vol. 10 : Iss. 3 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss3/18