13-02. Poisson processes - Poisson processes and the exponential distribution.

This video shows that, thinking of time as space, Poisson processes can be viewed as particular cases of Poisson point processes in one dimension. We also prove that the times between consecutive jumps of the process are independent exponential random variables and that the exponential distribution is the only continuous random variable that is memoryless. This is Section 9.2 of my Stochastic Modeling book.