A Comparative Study on Lognormal and Gamma Distributions for Life and Reliability of Kamag Machine

Abstract

A comparative study on Lognormal and Gamma distributions for failure times, t, of kamag machine was undertaken to identify an appropriate distribution for the failure times, t, of the machine. The Gamma distribution of the random variable, failure times, t, has a smaller variance, σ = 24.335 than the variance, σ= 86.490 of the Lognormal. Hence, the Gamma distribution seems to be an appropriate distribution for the failure time, t, of kamag machine based on the data collected from a steel company.

Keywords: kamag machine, reliability, failure, time, gamma, lognormal, distribution, variance, likelihood, parameter curve.