Die Publikationsdatenbank wird fortlaufend aktualisiert. Auch Schriftstücke älterer Jahrgänge werden sukzessive ergänzt.
2012 |
Kämpke, T Proportionality-induced distribution laws Buchkapitel mit eigenem Titel Income Modeling and Balancing, S. 129–140, Springer, 2012. Abstract | BibTeX | Schlagwörter: convex stochastic order, Lorenz order @incollection{kampke2015proportionality, title = {Proportionality-induced distribution laws}, author = { T. Kämpke}, year = {2012}, date = {2012-04-14}, booktitle = {Income Modeling and Balancing}, pages = {129--140}, publisher = {Springer}, abstract = {Lorenz curves for income distributions are developed in a systematic way by relating individual incomes to averages of certain income groups. Each such distribution law yields an ordinary differential equation. Many of the differential equations allow explicit solutions leading to parametric kinds of Lorenz curves.}, keywords = {convex stochastic order, Lorenz order}, pubstate = {published}, tppubtype = {incollection} } Lorenz curves for income distributions are developed in a systematic way by relating individual incomes to averages of certain income groups. Each such distribution law yields an ordinary differential equation. Many of the differential equations allow explicit solutions leading to parametric kinds of Lorenz curves. |
Kämpke, T; Radermacher, F J Lorenz curves and partial orders Artikel 2012. Abstract | BibTeX | Schlagwörter: Atkinson theorem, convex stochastic order, Lorenz order, majorization @article{-, title = {Lorenz curves and partial orders}, author = {T. Kämpke and F. J. Radermacher}, year = {2012}, date = {2012-04-05}, abstract = {We compile classical relations between the Lorenz order and majorization for finite discrete distributions and between the Lorenz order and the convex order for all other distributions. Simple transfers of the Pigou-Dalton type are extended as far as possible including approximations of continuous distributions.}, keywords = {Atkinson theorem, convex stochastic order, Lorenz order, majorization}, pubstate = {published}, tppubtype = {article} } We compile classical relations between the Lorenz order and majorization for finite discrete distributions and between the Lorenz order and the convex order for all other distributions. Simple transfers of the Pigou-Dalton type are extended as far as possible including approximations of continuous distributions. |
Kämpke, T Lorenz curves – history, state and some recent results Artikel 2012. BibTeX | Schlagwörter: convex stochastic order, Lorenz order @article{-, title = {Lorenz curves – history, state and some recent results}, author = {T. Kämpke}, year = {2012}, date = {2012-02-15}, keywords = {convex stochastic order, Lorenz order}, pubstate = {published}, tppubtype = {article} } |
2011 |
Kämpke, T On duality transformations between Lorenz curves and distribution functions Artikel 2011. Abstract | BibTeX | Schlagwörter: convex stochastic order, Lorenz order @article{-e, title = {On duality transformations between Lorenz curves and distribution functions}, author = {T. Kämpke}, year = {2011}, date = {2011-05-25}, abstract = {The relation between distribution functions and Lorenz curves is often denoted as their duality. Duality is established via transformations which can be understood as forward and backward transformations. It is often implicated that the interplay between distribution functions and Lorenz curves depends on the functions alone. It is the purpose of this short investigation to show that more than one transformation exists – at least in special cases.}, keywords = {convex stochastic order, Lorenz order}, pubstate = {published}, tppubtype = {article} } The relation between distribution functions and Lorenz curves is often denoted as their duality. Duality is established via transformations which can be understood as forward and backward transformations. It is often implicated that the interplay between distribution functions and Lorenz curves depends on the functions alone. It is the purpose of this short investigation to show that more than one transformation exists – at least in special cases. |