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Suppose $$P(\text{feature present at time} \ t \ \text{and} \ t+\Delta t) = \beta^{2}+\beta(1-\beta) \exp(\Delta t/\tau)$$

where $\tau = 1/(\pi_{01}+\pi_{10})$. What is $\tau$?

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    Generally speaking, it looks like a normalizing or scaling factor.2011-08-24
  • 0
    Do you mean $\exp(-\Delta t / \tau)$, with a minus sign? Otherwise the probability could be > 1.2011-08-24
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    Specifically, tau measures the scale of the decay of correlations, see http://www.scholarpedia.org/article/Decay_of_correlations2011-08-24

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