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