It expresses the probability of a number of events
(or failures, arrivals, occurrences ...)
occurring in a fixed period of time,
-provided these events occur with a known mean rate [lambda][space]
+provided these events occur with a known mean rate [lambda]
(events/time), and are independent of the time since the last event.
-The distribution was discovered by Sim__eacute on-Denis Poisson (1781 to 1840).
+The distribution was discovered by Sim[eacute]on-Denis Poisson (1781 to 1840).
It has the Probability Mass Function:
[h4 Implementation]
-In the following table [lambda][space] is the mean of the distribution,
+In the following table [lambda] is the mean of the distribution,
/k/ is the random variable, /p/ is the probability and /q = 1-p/.
[table
[[kurtosis excess][1/[lambda]]]
]
+[endsect] [/section:poisson_dist Poisson]
+
[/ poisson.qbk
Copyright 2006 John Maddock and Paul A. Bristow.
Distributed under the Boost Software License, Version 1.0.
http://www.boost.org/LICENSE_1_0.txt).
]
-[endsect][/section:poisson_dist Poisson]