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  1. 2 Przegląd Statystyczny

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  1. 2 Kosiorowski D.

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  1. 1 2007

  2. 1 2005

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1

ABOUT SHAPE AND CONFIGURATION OF ECONOMIC SYSTEM

100%
Kosiorowski D.
Przegląd Statystyczny
|
2005
|
vol. 52
|
issue 2
41-55
EN
The article aims to point the interest of the multidimensional economic processes' researchers to the unique approach emerging from relatively new publications making up so called statistical theory of shape (STS). That approach adds some new light on the classic methods of multidimensional statistics e.g.: equality of the expected values T2 Hotelling test, multi-variable analysis of the variance, and provides elegant tools for modeling populations of individuals examined with regard to several characteristics. Within the theory, the shape of an object belonging to a certain class of objects is defined as the whole information remaining when the location of the object, its scale and rotational effects are removed. In this work the selected analytic STS tools are presented and their usefulness is demonstrated by three empirical examples referring to the relation between the rate of unemployment and the relative wages in districts of Poland and the situation on the stock market. Among other the author presents an interesting method introduced by Bookstein for presenting differences between two configurations of economic objects i.e. the calculation of the transformation of the space in which the first object is located into the space of the second object. Such transformation provides to us information about local and global differences in shape.
2

ABOUR ROBUST REGRESSION IN ECONOMIC ANALYSIS ON EXAMPLE OF REGRESSION DEPTH CONCEPT

100%
Kosiorowski D.
Przegląd Statystyczny
|
2007
|
vol. 54
|
issue 1
109-121
EN
The paper presents selected issues of a regression depth concept introduced by Rousseeuw and Hubert and generalized in a vector optimization framework by Mizera. Results of a simulation study of a maximum regression EM estimator is presented. Finally, some practical consequences of a regression depth estimator application are shown on an example referring to a Polish district economic development in 2000 and 2004 year.
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