Class summary:
Monday, 4/21
I reviewed the definition and properties of a Poisson process
(see also p. 284 in the text) and
worked out some examples showing how to use these properties in
concrete problems. The first step is to express the probability
(or expectation, etc) sought in the notation of the Poisson process, i.e.,
either in terms of the r.v.'s N(I), or in terms of the Wi's.
Sometimes, it
is clear which of the two types of r.v.'s one should use, but in other
situations this is not obvious at the outset, and it is only when one
tries to compute the probabilities that the "correct" representation
becomes clear.
Reading Guide.
I have added material on Chapter 4 to the Reading Guide.
The Pitman text does an excellent job in motivating the Poisson
poisson; see the box on p. 284 and Example 3.
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