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Geometric Means and Lognormal Distributions

Rein Taagepera

in Making Social Sciences More Scientific: The Need for Predictive Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199534661
eISBN:
9780191715921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534661.003.0009
Subject:
Political Science, Comparative Politics, Political Economy

Geometric means are often more meaningful than arithmetic means, because they are closer to the central figure (median). When x and y can conceptually take only positive values, their distributions ... More


VALUATION OF CONTINGENT CLAIMS: EXTENSIONS

Ser-Huang Poon and Richard Stapleton

in Asset Pricing in Discrete Time: A Complete Markets Approach

Published in print:
2005
Published Online:
July 2005
ISBN:
9780199271443
eISBN:
9780191602559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199271445.003.0004
Subject:
Economics and Finance, Financial Economics

‘Valuation of Contingent Claims: Extensions’ extends the analysis in Ch. 3 to contingent claims on assets with non-lognormal distributions, for example, normal distributions, as in the Brennan ... More


Modelling Inequality

Frank A. Cowell

in Measuring Inequality

Published in print:
2011
Published Online:
April 2015
ISBN:
9780199594030
eISBN:
9780191808654
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:osobl/9780199594030.003.0004
Subject:
Economics and Finance, Macro- and Monetary Economics

This chapter considers the process of modelling income distribution and lognormal distribution in inequality measurement. It looks into some special cases that make understanding particular features ... More


Fairness in Income Distribution

Venkat Venkatasubramanian

in How Much Inequality Is Fair?: Mathematical Principles of a Moral, Optimal, and Stable Capitalist Society

Published in print:
2017
Published Online:
January 2019
ISBN:
9780231180726
eISBN:
9780231543224
Item type:
chapter
Publisher:
Columbia University Press
DOI:
10.7312/columbia/9780231180726.003.0005
Subject:
Economics and Finance, Econometrics

In this chapter, we develop the complete mathematical formalism for π‎-class societies at equilibrium. We prove that the fairest income inequality is lognormal, attained at equilibrium, in an ideal ... More


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