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5.3 Exponential Distribution Shape: The exponential distribution is a 2-parameter distribution and covers any specified average and standard deviation. It is represented by a single point with a skewness of 2 and kurtosis of 9 (excess kurtosis of 6) on a skewness-kurtosis plot as shown below. It is at the intersection of the gamma and Weibull distributions. 10 Kurtosis Negative Exponential Exponential Gamma 7 Negative Gamma Weibull Negative Weibull 4 1 -3 -2 -1 0 1 2 3 Skewness Density Function: The density function of the exponential distribution is shown below: f 1 ε=0 0.8 λ=1 0.6 λ=2 0.4 λ=3 λ=4 0.2 x 2 66 4 6 Chapter 5 8 10