|Aug22-06, 04:02 PM||#1|
Joint Distribution Question
I have a situation where there are N random events. These events can be from either one of two sources, one with a binomial distribution, the other with a Poisson distribution. The events do not provide any evidence of their origin, either distribution could be responsible for creating the event.
The question is, how do I calculate the probability that there will be N events given the parameters for both distributions?
|Aug22-06, 04:16 PM||#2|
Your statement of the problem is a little unclear. But I suspect the answer is "add up the odds of all possible ways it could happen".
|Aug22-06, 04:26 PM||#3|
So I guess what you're saying is, the probability of measuring say, 3 events, is:
P_1(0) * P_2(3) + P_1(1) * P_2(2) + P_1(2) * P_2(1) + P_1(3) * P_2(0)
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