Derivation of some statistics for beta exponential distribution

Document Type : Research Paper


Computer Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf, Iraq


We propose a beta exponential distribution that is formed from the logarithm of a random variable with a beta value, as well as a thorough investigation of the distribution's mathematical characteristics. Because we dealt with the beta exponential distribution, we have a clear and understandable way to comprehend the equation and apply it to the actual problem. To do this, we gathered the questions that statisticians find interesting and studied the most significant properties and statistics related to the distribution. Future research will utilize this data to identify specific industrial flaws or inefficiencies as a function of survival. Included are system statistics, BE distributions for graphs, generation functions, moments, and Hazard functions.


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[2] S. Nadarajah and A.K. Gupta, On the moments of the exponentiated Weibull distribution. Commun. Statist. Theory Meth. 34 (2005), 253–2.
Volume 14, Issue 1
January 2023
Pages 2123-2128
  • Receive Date: 03 August 2022
  • Revise Date: 19 October 2022
  • Accept Date: 13 November 2022