Die Publikationsdatenbank wird fortlaufend aktualisiert. Auch Schriftstücke älterer Jahrgänge werden sukzessive ergänzt.

## 2015 |

Radermacher, F J; Kämpke, T Income Modeling and Balancing – A Rigorous Treatment of Distribution Patterns Buch 2015, ISBN: 978-3-319-13223-5. Abstract | Links | BibTeX | Schlagwörter: income distribution, Weltfinanzsystem @book{Income_Modeling_Balancing_2015, title = {Income Modeling and Balancing – A Rigorous Treatment of Distribution Patterns}, author = {F. J. Radermacher and T. Kämpke}, editor = {Springer International Publishing}, doi = {10.1007/978-3-319-13224-2}, isbn = {978-3-319-13223-5}, year = {2015}, date = {2015-00-00}, abstract = {This book presents a rigorous treatment of the mathematical instruments available for dealing with income distributions, in particular Lorenz curves and related methods. The methods examined allow us to analyze, compare and modify such distributions from an economic and social perspective. Though balanced income distributions are key to peaceful coexistence within and between nations, it is often difficult to identify the right kind of balance needed, because there is an interesting interaction with innovation and economic growth. The issue of justice, as discussed in Thomas Piketty’s bestseller “Capital in the Twenty-First Century” or in the important book.}, keywords = {income distribution, Weltfinanzsystem}, pubstate = {published}, tppubtype = {book} } This book presents a rigorous treatment of the mathematical instruments available for dealing with income distributions, in particular Lorenz curves and related methods. The methods examined allow us to analyze, compare and modify such distributions from an economic and social perspective. Though balanced income distributions are key to peaceful coexistence within and between nations, it is often difficult to identify the right kind of balance needed, because there is an interesting interaction with innovation and economic growth. The issue of justice, as discussed in Thomas Piketty’s bestseller “Capital in the Twenty-First Century” or in the important book. |

## 2008 |

Kämpke, T The use of mean values vs. medians in inequality analysis Artikel 2008. Abstract | BibTeX | Schlagwörter: income distribution, Lorenz curve, poverty line @article{-f, title = {The use of mean values vs. medians in inequality analysis}, author = {T. Kämpke}, year = {2008}, date = {2008-10-10}, abstract = {Poverty lines that are proportional to either the mean value or the median of income distributions are compared by statistical properties and in the light of poverty axioms. Poverty lines are extended from all incomes such that any particular income is considered as smallest of all larger incomes. This induces classes of income distributions with the distributions for the median being much more unequal than for the mean value.}, keywords = {income distribution, Lorenz curve, poverty line}, pubstate = {published}, tppubtype = {article} } Poverty lines that are proportional to either the mean value or the median of income distributions are compared by statistical properties and in the light of poverty axioms. Poverty lines are extended from all incomes such that any particular income is considered as smallest of all larger incomes. This induces classes of income distributions with the distributions for the median being much more unequal than for the mean value. |

## 2001 |

Kämpke, T; Stark, M Equality functions Artikel 2001. Abstract | BibTeX | Schlagwörter: differential equation, income distribution, Lorenz curve @article{-g, title = {Equality functions }, author = {T. Kämpke and M. Stark}, year = {2001}, date = {2001-07-01}, abstract = {The equality parameter as a highly aggregated index of an income distribution is complemented by the finer measure of an equality function. Lorenz curves with linear equality functions are developed and fitted to empirical data by squared error regression. The transition from equality parameters to equality functions significantly reduces regression errors. Relative poverty lines are subsequently introduced, computed approximately and their induced rankings of nations are investigated.}, keywords = {differential equation, income distribution, Lorenz curve}, pubstate = {published}, tppubtype = {article} } The equality parameter as a highly aggregated index of an income distribution is complemented by the finer measure of an equality function. Lorenz curves with linear equality functions are developed and fitted to empirical data by squared error regression. The transition from equality parameters to equality functions significantly reduces regression errors. Relative poverty lines are subsequently introduced, computed approximately and their induced rankings of nations are investigated. |

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