Program defines the ExponentialRV class. This class generates exponentially distributed random numbers with a mean value of . The mean value is specified in the constructor.
The ExponentialRV class generates a sequence of random numbers, , exponentially distributed on the interval and having a mean value . The numbers are said to be exponentially distributed because the probability that falls between 0 and z is given by
where . The function p(x) is called the probability density function . Thus,
Notice that is a value between zero and one. Therefore, given a random variable, , uniformly distributed between zero and one, we can obtain an exponentially distributed variable as follows:
Note, if is uniformly distributed on (O,1), then so too is . The implementation of the nextDouble method follows directly from Equation .