On Differently Defined Skewness

• Autorzy: Sulewski P.
• Języki publikacji: EN

Abstrakty

EN

Four definitions of skewness are discussed: classic skewness, two Pearson’s skewnesses and Bowley’s skewness. The ability of these skewnesses to express asymmetry is compared as well as the accuracy of their estimation from normal distribution is assessed.

Słowa kluczowe

EN

skewness; Johnson's distribution; method of Parzen; estimator density function

• Wydawca: Institute of Bioorganic Chemistry Scientific Publishers OWN, Polish Academy of Sciences
• Czasopismo: Computational Methods in Science and Technology
• Rocznik: 2008
• Tom: Vol. 14, nr 1
• Strony: 39--46
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Sulewski P.

• Pomeranian Academy, Arciszewskiego 22, 76-200 Slupsk, Poland,

Bibliografia

• [1] S. Brandt, Data analysis, Warsaw 1998 (in Polish).
• [2] H. Cramer, Mathematical method in statistics, Warsaw 1958 (in Polish).
• [3] H. A. David, Order statistics, Wiley, New York, 1970.
• [4] A. Drapella, Statistical inference on the base skewness and kurtosis, Pomeranian Pedagogical Academy, Slupsk 2004 (in Polish).
• [5] N. L. Johnson, System of frequency curves generated by methods of translation, Biometrika 36 (1949).
• [6] M. G. Kendal, A. Stuart, The advanced theory of statistics, Distribution theory, 1, London 1958.
• [7] J. F. Kenney, E. S. Keeping, Mathematics of statistics, Pt. 1, 3rd ed. Princeton, NJ: Van Nostrand, 101-102 (1962).
• [8] E. Parzen, On estimation of a probability density and mode, Ann. Math. Statist, 33, 1065-1076 (1962).
• [9] B. W. Silverman, Density estimation, Chapman and Hall, London – New York, 1986.