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Konvolut Wealth and Income Distribution 2

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Document type:
Works
Collection:
Josef Steindl Collection
Title:
Konvolut Wealth and Income Distribution 2
Author:
Steindl, Josef
Scope:
Konvolut aus handschriftlichen und maschinenschriftlichen Blättern (insgesamt 92 Blätter)
Year of publication:
1975
Source material date:
[vermutlich um 1975]
Language:
English
Note:
Das Konvolut enthält Notizen und Teil eines Papers mit Seitennummerierung 8-25. Es liegen zusätzlich 2 Durchschlagskopien davon mit unterschiedlichen Anmerkungen, Ergänzungen und Korrekturen vor. Zusätzlich sind auf 2 Millimeterpapier-Blättern graphische Darstellungen der Berechnungen vorhanden.
Topic:
Stochastic processes and size distribution
JEL Classification:
D31 [Personal Income, Wealth, and Their Distributions]
Shelfmark:
S/M.36.1
Rights of use:
All rights reserved
Access:
Free access All rights reserved
DOI:
https://doi.org/10.48671/nls.js.AC14446149

Full text

12 
the condition is even more restrictive: The rate of return 
must not be larger than w k ' 1 '.loo p.c. whithin the range of 
wealth sizes in which the empirical data lie. 
The restriction is unavoidable because the Laplace transform 
in defined only for positive values of the argument of f^ w ^. 
For negative values the derq^iity f is by definition zero. 
If the argument is shifted to the right by Y the transform will 
be defined only for d&wities of a rate of return below loo p.c. 
Similarly, for an argument of kW-Y the transform will be defined 
k -"I 
only for rates of return below w .loo p.c. 
In reality, rates of return in excess of the limit given may 
exist. In this case we can, however, always ensure that the 
above condition is fulfilled and the transformation (4) remains 
valid provided we make the unit of welfath, W Q (Wo = 0) sufficient 
ly large. 
Indeed the condition 
y <w 
w 
k-i 
k 
or 
y \w 
(5) 
will be more easily fulfilled if w and y are both measured in 
a large unit, because then their values will be both lower in 
the same proportion, and that will automatically make it easier 
to fulfill the condition (5), if k <1. 
The choice of a large unit, however, will mean that the conclusions 
with regard to the distribution of income which are implied in (4)
	        

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Steindl, J. (1975). Konvolut Wealth and Income Distribution 2. https://doi.org/10.48671/nls.js.AC14446149
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