Contents - Index


Negative Exponential Distribution

Shape:

The negative 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:

       

Density Function:

The density function of the negative exponential distribution is shown below:

       

The equation, parameters and bounds of the density function are:

        

Moments:

The moments of the negative exponential distribution can be calculated from the parameters as shown below:

       

Properties:

The negative exponential distribution is a special case of the both the negative gamma and negative Weibull distributions falling at the intersection of these two curves on the skewness-kurtosis plot.