ON THE SUM OF EXPONENTIALLY DISTRIBUTED RANDOM VARIABLES: A CONVOLUTION APPROACH

In this paper, Exponential distribution as the only continuous statistical distribution that exhibits the memoryless property is being explored by deriving another two-parameter model representing the sum of two independent exponentially distributed random variables, investigating its statistical properties and verifying the memoryless property of the resulting model.

Keywords: Convolution, Cumulant, Exponential, Hazard, Independent, Memoryless