Derivation of some statistics for beta exponential distribution

Ali, Mujtaba Zuhair; Alkhalidi, Ahmed A.H.

doi:10.22075/ijnaa.2022.7173

Derivation of some statistics for beta exponential distribution

Document Type : Research Paper

Authors

Mujtaba Zuhair Ali

Ahmed A.H. Alkhalidi

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

10.22075/ijnaa.2022.7173

Abstract

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.

Keywords

Hazard function

Moment

Generating Function

shape and Order statistics of BE Distribution

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