The paper involves a description of simulation experiments aimed at determining the size of Jargue-Bera tests for skewness and kurtosis, as well as selected modifications of those tests. All experiments refer to four different families of probability distributions and consist of one thousand runs each.
statistical tests for skewness and kurtosis, the size of a test, simulation experiments
[1] Asai M., Dashzeveg U., [2006], Distribution – Free Test for Symmetry with anApplication to S&P Index Returns, http://home.soka.ac.jpfaculty/economics?DP/004.pdf
[2] Bera A.K., John S., [1983], Test for multivariate normality with Pearson alternatives, Communication Statistics – Theory and Methods, 12, s. 103-117.
[3] Bera A., Premarante G., [2001], Adjusting the Tests for Skewness and Kurtosis for Distributional Misspecifications, http://www.business.uiuc.edu/Working_Papers/papers/01-0116.pdf
[4] Domański Cz., [1990], Testy statystyczne, Państwowe Wydawnictwo Ekonomiczne, Warszawa.
[5] Domański Cz., [2009], Testy normalności oparte na momentach, Prace i Materiały Wydziału Zarządzania Uniwersytetu Gdańskiego 4/2, s. 569-577.
[6] Godfrey L., Orme C., [1991], Testing for Skewness of Regression Distribuances, Economic Letters 37, s. 31-34.
[7] Jarque C.M., Bera A.K., [1987], A Tests of Observations and Regression Residuals, International Statistical Review, vo. 55, s. 163-172.
[8] Pearson E.S., [1963], Some problems arising in approximating to probability distributions using moments, Biometrika 50, s. 95-112.
[9] Piontek K., [2007], Pomiar i testowanie skośności rozkładów stóp zwrotu instrumentówfinansowych, Prace Naukowe Akademii Ekonomicznej we Wrocławiu, Taksonomia 14, s. 122-130.
[10] White H., [1982], Maximum likelihood estimation of misspecified models, Econometrica, 50, s. 1-25.