The random variable x is said to have an exponential distribution with a rate of distribution of λ if its probability density function is defined as follows:
Here, the rate of distribution λ needs to be greater than 0. We can also compute the expectation of X as this:
We see that the expectation of X is inversely proportional to the rate of learning. This means that an exponential distribution with a higher rate of learning would have a lower expectation. The exponential distribution is often used to model problems ...
