P410/P609 Homework Assignment #4
Due Thursday, October 30, 2013
NOTE: At the end of each problem, please indicate how long it took
to solve the problem.
Problem 1
We looked in detail in class at the bias that is introduced when we try
to find 1/(average value) of a distribution. Consider instead what
happens when we look at log(average value). Again, the random
measurements are uniformly distributed between zero and one. You may
consider any of the methods we used in class. At least one of your
results should be a graph similar to ~sg/jackknife/jackknife.ax, that
is, it should compare results with and without jackknife bias reduction.
Problem 2
Complete Problem 6.4 parts (c-f) on pages 151-152 of CSM. You may use
whatever computational tools that you like.
Problem 3
Complete Problem 6.6 on pages 153-154 of CSM. In part (b), you will use
the values of r that correspond to superstable trajectories. Recall that
Table 6.2 in Section 6.11 has some inaccuracies that we demonstrated in
class. You may use or modify program ~sg/findroot if you like. The source
code is in ~sg/chap6/roots and using the Gnu Scientific Library in
~sg/chap6/gslroots .