Thanks to Herman for saying this very clearly.  

Perhaps it helps to mention that you can pool transition frequencies
for (Time 1, Time2) and (Time 2, Time 3) for estimation because, under
the stationarity assumption, transitions at one time are independent
of those at another.

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John Uebersax, PhD             (858) 597-5571 
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[EMAIL PROTECTED] (Herman Rubin) wrote in message 
news:<adqoo0$[EMAIL PROTECTED]>...
 
> Just combine the data.  The likelihood function is 
> 
>       \prod p_{ij}^{n_{ij}},
> 
> where p_{ij} is the probability that an individual in state
> i will move to state j, and n_{ij} is the number who do it.
> So the maximum likelihood estimate of p_{ij} is just the
> sample proportion n_{ij}/\sum_k n_{ik}.

.
.
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