Equation 10.14

[ArtPoon]

Thanks for this great resource, it's been a big help for preparing my lectures on birth-death models. I think there are typos in the following equations:

pcm/chapter10_birthdeath.html

Line 136 in 16853c2

\alpha=\frac{\epsilon (e^rt-1)}{(e^rt-\epsilon)}

pcm/chapter10_birthdeath.html

Line 141 in 16853c2

\beta =\frac{(e^rt-1)}{(e^rt-\epsilon)}

where e^rt should be e^{rt}. It seemed funny to me that t wasn't in the exponent and I think the formulas in Foote et al. indicate that the latter should be the case.

[ArtPoon]

Nearby, I think i should be an n:

pcm/chapter10_birthdeath.html

Line 153 in 16853c2

<p><br /><span class="math display"><em>p</em><sub><em>n</em></sub>(<em>t</em>)=(1 − <em>α</em>)(1 − <em>β</em>)<em>β</em><sup><em>i</em> − 1</sup></span><br /></p>