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Konvolut Wealth and Income Distribution 2

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Works

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
Description:
Das vorliegende Konvolut samt Anmerkungen in den Durchschlagskopien und handschriftlichen Notizen bezieht sich auf Modelle der Einkommens- und Vermögensverteilung von Pareto, Simon und Champernowne. Die theoretischen Ausführungen sind mit empirischen Daten aus den Niederlanden und Schweden gestützt.
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.
Related work:
Steindl, Josef: The Pareto Distribution. In: Steindl, Josef: Economic Papers 1941-88. London: Macmillan, 1990, S. 321-327 Steindl, Josef: The Personal Distribution of Income. In: Steindl, Josef: Economic Papers 1941-88. London: Macmillan, 1990, S. 356-371 Steindl, Josef: The Distribution of Wealth after a Model of Wold and Whittle. In: Steindl, Josef: Economic Papers 1941-88. London: Macmillan, 1990, S. 328-355 Steindl, Josef: The Distribution of Wealth after a Model of Wold and Whittle. In: Review of Economic Studies, Vol. 39 (3), July, 1973, S. 263-279
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

Full text

10 
can write for the density of the rate of return f (Y - kW) 
and for its symmetric function f* (kW - Y). In this way we 
manage to express the argument of the function f* (which 
actually represents the reciprocal profit rate, /4-^41-mon— A 
s^BjBuhejSLQ; number) in terms of W and Y again, and yet keep 
it independent of W, provided the regression is homo- 
scedastic. k is a constant which equals to regression co 
efficient of Y on (see fig. 1) 
rate of 
If theAreturn decreases with wealth, we have to take 
k<1, if it increases with wealth, we take k. >1. In fig. 1 
the first case is assumed. 
Proceeding as before, the symmetric function f* (kW - Y) 
will now be randomised by means of the wealth function, 
which means taking the Laplace transform of the former: 
q (Y) = c oty I f * (kW - Y) e" Wo6 dW « 
« | dp (£) e "^^ Y dY for kW > Y > 0 (4) 
q (Y) - o 
for kW<Y> 0 
This is now the second result: If there is a log-linear 
dependence of income on wealth which is homoscedastic, with 
ion
	        

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