The posterior distribution for the rate, 
is plotted in
Figure 
. The trace for 
and a histogram of
samples for 
are given in Figure and
Figure . The value of the sum of lengths of cracks
before coalescence is 1014, which is far larger than any of the
samples from the posterior. The trace for is consistent with
a uniform[35,40].
Figure: Prior (dotted) and Posterior Distributions for Rate, .
Figure: Samples from the Posterior Distribution of for a Single Crack.
Figure: Histogram of Samples
from Posterior of for Crack d1ea.