On functional measures of skewness

• Autorzy: Renata Dziubińska , Dominik Szynal
• Języki publikacji: EN

Abstrakty

EN

We introduce a concept of functional measures of skewness which can be used in a wider context than some classical measures of asymmetry. The Hotelling and Solomons theorem is generalized.

Słowa kluczowe

EN

mean; standard deviation; mixture of distribution functions; quantiles; conditional distributions; Pareto distributions; the Pearson coefficient of skewness; median

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1995-1996
• Tom: 23
• Numer: 4
• Strony: 395-403

Daty

wydano

1996

otrzymano

1994-12-22

poprawiono

1995-04-20

Twórcy

autor

Renata Dziubińska

• Institute of Mathematics, University of Maria Curie-Skłodowska, Pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

autor

Dominik Szynal

• Institute of Mathematics, University of Maria Curie-Skłodowska, Pl. M. Curie-Skłodowskiej 1, 20-031 Lublin, Poland

Bibliografia

• [1] H. Hotelling and L. M. Solomons, The limits of a measure of skewness, Ann. Math. Statist. 3 (1932), 141-142.
• [2] C. A. O'Cinneide, The mean is within one standard deviation of any median, Amer. Statist. 44 (1990), 292-293.
• [3] I. Olkin, A matrix formulation on how deviant an observation can be, ibid. 46 (1992), 205-209.