5a 
Th/ose few units whidh survive for good continue to grow; on the 
total sample 
other end of the scale new 
of firms or wealth^' dynasties. The continuance of the steady ax 
state with unchanged distribution is accompanied by a steadily 
growing size of the sample whidh produces ever larger firms, 
wealth holdings etc. These large units always existed potentially 
but could not be realised ai as long as the sample was too small; 
with the growth of the economy such potential sizes become actual 
and in consequence the largest units represent a greater and greater 
shajre of the total although the theoretical distribution is 
unchanged. With the finite life and the stable population 
of Champernowne 1 s model this peculiar form of growing inequality 
would not arise. 
Further developments 
We may consider the following stages in the treatment of the 
income distribution: 
I. Champernowne 1 s Model. 
II. Rutherford^ model /I9/. He treated persoh's life-times explicitly. 
III. The above models are open to criticism^ on two grounds: 
First, income is not very suitable as a state variable 
for a Markov process. It does not embody the "influence