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Geometry of Crises on the Market of Stocks Listed on the Warsaw Stock Exchange

100%
Echaust K., Just M.
Studia Ekonomiczne
|
2014
|
vol. 207
51-66
PL
W pracy zdefiniowano i zinterpretowano zmiany zachodzące w przestrzeni rynku akcji. Analizie poddano 73 spółki notowane na Giełdzie Papierów Wartościowych w Warszawie w okresie od początku 2006 r. do końca września 2012 r. Jest to okres obejmujący w całości dwie odsłony kryzysu finansowego - od pierwszych objawów kryzysu do momentu, kiedy te badania zostały przeprowadzone. Zbadano dynamikę rynku akcji za pomocą wskaźnika, który mierzy zmiany efektu zniekształcenia kształtu przestrzeni rynku. Indeks ten opiera się na metodach geometrii euklidesowej. Pozwala on na właściwą identyfikację i interpretację najbardziej burzliwych okresów na rynku finansowym.
EN
This paper defines and interprets the changes in the stock market space. There are analyzed 73 companies listed on the Warsaw Stock Exchange in the period from beginning 2006 to the end of September 2012. This is a period, covering entirely the last two financial crises from their first symptoms to the moment when these researches have been carried out. The dynamics of the stock market space was investigated using an index, which measures the evolution of the distortion effect in the shape of the market space. This index is based on geometry technique and it proved to be useful in the Polish capital market. It allows for proper identification and interpretation of the most turbulent periods in financial markets.
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The positional MEF-TOPSIS method for the assessment of complex economic phenomena in territorial units

100%
Łuczak A., Just M.
Statistics in Transition new series
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2020
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vol. 21
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issue 2
157-172
EN
In this paper, the authors propose a new methodological approach to the construction of a synthetic measure, where the objects are described by variables with strong asymmetry and extreme values (outliers). Even a single extreme value (very large or very small) of a variable for the object may significantly affect the attribution of an excessively high or low rank in the final ranking of objects. This dependence is particularly apparent when using the classical TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) method. The aim of the study is to present the application potential of the positional MEF-TOPSIS method for the assessment of the level of development of complex economic phenomena for territorial units. In the positional TOPSIS method, the application of the spatial median of Oja, which limits the impact of strong asymmetry, is proposed. In order to weaken the influence of extreme values, the Mean Excess Function (MEF) is used, by means of which it is possible to identify the limits of extreme values and establish model objects. The proposed approach is used to assess the financial self-sufficiency of Polish municipalities in 2016. The study finally compares the results of applications of positional MEF-TOPSIS and the classic and positional TOPSIS methods.
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