Back to the Technical Reports
This paper is concerned with the tail behavior of the random variable
W that comes up in a multi-type branching process. In
particular, we focus on two specific questions: First, we consider the
rate of decay of P(W £
x) as x approaches 0. We do this by studying the density
of w of W near origin. Second, we investigate the rate of
decay of P(W > x) as x approaches ¥ when the branching process has finite
support. For this reason we develop multi-type versions of Harris
functions and use that to extract the exponential rate of decrease.
Back to the Technical Reports
Back to the Department's
Home Page