3 
Pl 
to the tail of the recurrence time distribution, i.e. to p . 
More directly, the vector of steady state probabilities 
can be derived from the following two conditions: 
u fc - P U *C_1 
u 0 = + qu>| + qu 2 + ... 
The first condition ensures the invariance of the steady 
state; the seco.nd ensures that entries to and exits from 
the income population balance. 
It follows that 
= P Ku 0 J&f0 ) 
u Q = 1 - p p<1 
The result.is, of course, identical with the distribution 
of the spent waiting time,derived above.