The Copoun Distribution and Its Mathematical Properties

Abstract

Due to the ever growing demand for the development of new lifetime distributions to meet the goodness of fit demand of complex datasets, two-parameter distributions has been proposed in recent times. This study therefore aims to contribute to this demand. We propose a new two-parameter lifetime distribution known as the Copoun distribution. Important mathematical properties of the new distribution such as the moments and other related measures, and moment generating function were derived. Finally, the values of the mean, standard deviation, coefficient of variation, skewness, and kurtosis of the Copoun distribution shows that the distribution has the tendency to shift to higher values overall (increasing mean) and narrow around this increased central tendency (decreasing spread, variation and increasing peakedness).