Full text: Konvolut The Personal Distribution of Income 1

Footnotes to p.4 
1) Although Champernowne ' s theory is more complicated than the 
simple- model which takes its place in the above reasoning, 
we. can easily extend the conclusions:. With Champernowne, the- 
promotion is stochastic, with probabilities ‘ of non-promotion 
and demotion. In this more general-case p in the above solution 
■ Thas to be replaced by jo which is the root of the characteristic 
equation of the matrix^j" 0*. , ", 
'In o 
the ratio 
The Pareto coefficient in the simple case is - 
■ '' of the- parameters of the two-exponential distributions; in the 
■'.■■ more general case of Champernowne' the Pareto, coefficient'is- 
-r-— - h could be regarded as the-parameter of'an age dis 
tribution, if the classes (states of the system) are regarded 
'’’'as age classes IV kU 
2\ Champ ernowne, apparently did nor know Yule r s paper: it was 
; E.Simon/s merit to have .brought it-to ' the. attention-of 
>'■ economists;. unfortunately he reproduced it; in a form which 
obscured its essence, which is ehe interplay of the two ex 
ponential distributions,_ i.e. of two stochastic processes-

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