- #1
bradyj7
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Hello,
How would you/or is it possible to combine two transitional probability matrices?
Say for example I have 2 matrices that both measure the probability of moving from one state to another (the states are 1, 2 and 3)
Here is a picture
http://dl.dropbox.com/u/54057365/All/TPM1and2.JPG
Can these be combined into one probability matrix? Do you just take the average of each element?
To be more specific
Say for example I record the speed of a car each second on a road. Say I do this twice and get two TPMs with speed as the state. Each TPM has different probabilities.
So I would have two matrices like so
http://dl.dropbox.com/u/54057365/All/tpmbig.JPG
Can you combine them into one and assume that the resulting TPM is the "average" TPM for speed along that stretch of road?
Thank you
Many thanks
John
How would you/or is it possible to combine two transitional probability matrices?
Say for example I have 2 matrices that both measure the probability of moving from one state to another (the states are 1, 2 and 3)
Here is a picture
http://dl.dropbox.com/u/54057365/All/TPM1and2.JPG
Can these be combined into one probability matrix? Do you just take the average of each element?
To be more specific
Say for example I record the speed of a car each second on a road. Say I do this twice and get two TPMs with speed as the state. Each TPM has different probabilities.
So I would have two matrices like so
http://dl.dropbox.com/u/54057365/All/tpmbig.JPG
Can you combine them into one and assume that the resulting TPM is the "average" TPM for speed along that stretch of road?
Thank you
Many thanks
John
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