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Telephone Calls as
Basic Birth Process Formalism---I
It is natural to take limit of time interval (second in above example) as zero, and let
t
be a continuous and not a discrete valued variable.
Suppose we are studying events (e.g., telephone calls as above) that
occur independently of previous history of world,
in time
.
The probability of an event happening is
,
and the probability of
>1
event happening is
.
Define
as the probability of
k
events happening in time 0 to
t
.
Geoffrey Fox
,
Northeast Parallel Architectures Center
at Syracuse University,
gcf@npac.syr.edu
occur independently of previous history of
world,
in time 
.
The probability of an event happening is 
,
and the probability of >1 event happening is 
.
as the probability of k events happening in
time 0 to t.