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2018 | vol. 28/2, 4/2018 | 55--64
Tytuł artykułu

Estimation of the Distribution of Α-Stable Return Rates of Stock Market Indices Based on the Criterion of Minimization of Chi-Square Statistics

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
One of the most frequently considered problems related to the capital market is the appropriate modelling of the distributions of rates of return for specific financial instruments. The results of such modelling are often used as an element of a number of tools and methods used for analyzes, diagnoses and forecasts of specific phenomena occurring on financial markets. An adoption a priori of certain assumptions as to the density function of distribution of return rates, seems to be a highly risky approach. A significant deviation of the actual rates of return from the assumed ones may cause a number of negative consequences, including among others that it may be the basis for questioning the credibility and thus the applicability of a number of techniques, methods and models used for analyzes, diagnoses and forecasts of the capital market. The main objective of the study will be to determine the impact of the change in the optimization criterion when estimating the parameters of the stable distribution, on the probability of obtaining a distribution consistent with the theoretical. In addition, the potential impact on this probability of such factors as the adoption of a specific assumption regarding the method of construction of individual numerical intervals or the inclusion of a specific rate of return will also be examined.(author's abstract)
Słowa kluczowe
EN
PL
Rocznik
Strony
55--64
Opis fizyczny
Twórcy
  • University of Szczecin, Poland
Bibliografia
  • Bednarz, K. (2012). Goodness of fit tests in modeling the distribution of the daily rate of return of the WIG20 companies. Folia Oeconomica Stetinensia, 10 (18), 103-113.
  • Bednarz-Okrzyńska, K. (2014). Modelowanie empirycznych rozkładów stóp zwrotu z akcji notowanych na Giełdzie Papierów Wartościowych w Warszawie za pomocą logarytmicznej i klasycznej stopy zwrotu. Studia i Prace WNEiZ US, 36 (2), 11-25.
  • Borak, S., Härdle, W., Weron, R. (2005). Stable distributions. Statistical tools for finance and insurance. Springer, 21-44.
  • Czyżycki, R. (2013). Using GED (Generalized Error Distribution) for modeling distribution of the rates of return. Hradec Kralove, The Czech Republic: International Masaryk Conference for Ph.D. Students and Young Researchers, 1530-1535.
  • Czyżycki, R. (2016). Arithmetic or logarithmic rate of return? The impact of the choice made on the distribution modelling results. In: A. Sokół, I. Figurska, K. Drela (eds.), Contemporary socio-economic issues and problems. Bratislava: KARTPRINT.
  • Fama, E.F., Roll, R. (1971). Parameter estimates for symmetric stable distributions. Journal of the American Statistical Association, 66 (334), 331-338.
  • Fielitz, B.D., Rozelle, J.P. (1981). Method-of-moments estimators of stable distribution parameters. Applied Mathematics and Computation, 8 (4), 303-320.
  • Koutrouvelis, I.A. (1980). Regression-type estimation of the parameters of stable laws. Journal of the American statistical association, 75 (372), 918-928.
  • Koutrouvelis, I.A. (1981). An iterative procedure for the estimation of the parameters of stable laws: An iterative procedure for the estimation. Communications in Statistics-Simulation and Computation, 10 (1), 17-28.
  • Kuruoglu, E.E. (2001). Density parameter estimation of skewed alpha-stable distributions. IEEE Transactions on signal processing, 49 (10), 2192-2201.
  • McCulloch, J.H. (1986). Simple consistent estimators of stable distribution parameters. Communications in Statistics-Simulation and Computation, 15 (4), 1109-1136.
  • Paulson, A.S., Holcomb, E.W., Leitch, R.A. (1975). The estimation of the parameters of the stable laws. Biometrika, 62 (1), 163-170.
  • Piasecki, K., Tomasik, E. (2013). Rozkłady stop zwrotu z instrumentów polskiego rynku kapitałowego. Kraków-Warszawa: edu-Libri.
  • Press, S.J. (1972). Estimation in univariate and multivariate stable distributions. Journal of the American Statistical Association, 67 (340), 842-846.
  • Tomasik, E., Echaust, K. (2008). Wybrane rozkłady prawdopodobieństwa w modelowaniu empirycznych stóp zwrotu akcji notowanych na GPW w Warszawie. In: W. Sikora (ed.), Z prac Katedry Badań Operacyjnych. Poznań: Wydawnictwo Akademii Ekonomicznej.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171572854

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