]> The Two−Type Poisson Experiment

The Two-Type Poisson Experiment

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Description

The experiment is to run a Poisson process until time t . Each arrival is type 1 with probability p or type 0 with probability 1 p . This is known as splitting the Poisson process. In the timeline, the type 1 arrivals are shown as red dots and the type 0 arrivals as green dots. The number of type 1 arrivals M and the number of type 0 arrivals W are the random variables of interest. The values of M and W are recorded on each update in the data table. The probability density functions and moments of M and W are shown in blue in the distribution graphs and are recorded in the distribution tables.On each update, the empirical density functions and moments of M and W are shown in red in the distribution graphs and are recorded in the distribution tables. The parameters are the rate of the process r , the time t , and the probability p . These can be varied with scroll bars.