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PL
Ocena wzajemnego podobieństwa finansowych szeregów czasowych jest jednym z problemów, w którym kwestia właściwego doboru metody analitycznej zaznacza się bardzo wyraźnie. Z reguły problem ten sprowadzany jest do analizy korelacji - co nie zawsze prowadzi do właściwych rezultatów. Często są to oceny wręcz sprzeczne ze wizualną obserwacją lub wiedzą ekspercką. Powodów takiego stanu rzeczy można upatrywać zarówno we właściwościach samej miary korelacyjnej i jej adekwatności do analizowanych danych, jak również w aspekcie metodologicznym przeprowadzanego badania. W niniejszym artykule zaproponujemy alternatywne rozwiązanie oparte na miarach dywergencji, w szczególności dywergencji Bosego-Einsteina. Przeprowadzone eksperymenty na poglądowych danych symulowanych potwierdzają użyteczność zaproponowanych rozwiązań
EN
The similarity assessment of the financial time series is the one of problems where the proper methodological choice is very important. The typical correlation approach can lead to misleading results. Often the similarity score is contrary to the visual observations, expert’s knowledge and even a common sense. The reasons of such situations can be associated with the properties of the correlation measure and its adequateness for analyzed data, as well as in terms of methodology aspects. In this article, we point these disadvantages associated with the use of correlation to assess the similarity of financial time series as well as we propose the alternative solution based on divergence measures. In particular, we focus on the Bose- Einstein divergence. The practical experiments with simulated data confirm the validity of our concept.
EN
This paper presents the application of independent component analysis (ICA) for value at risk modelling (VaR). The probabilistic models fitted to hidden components from the time series help to identify the independent factors influencing the portfolio value. An important issue here is the choice of the ICA algorithm, especially taking into account the characteristics of the instruments with respect to higher-order statistics. The proposed ICA-VaR concept has been tested on transactional data of selected stocks listed on Warsaw Stock Exchange.
EN
Article presents a ROC (receiver operating characteristic) curve and its application for classification models’ assessment. ROC curve, along with area under the receiver operating characteristic (AUC) is frequently used as a measure for the diagnostics in many industries including medicine, marketing, finance and technology. In this article, we discuss and compare estimation procedures, both parametric and non-parametric, since these are constantly being developed, adjusted and extended.
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