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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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