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-