# On functional measures of skewness

Renata Dziubińska; Dominik Szynal

Applicationes Mathematicae (1996)

- Volume: 23, Issue: 4, page 395-403
- ISSN: 1233-7234

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topDziubińska, Renata, and Szynal, Dominik. "On functional measures of skewness." Applicationes Mathematicae 23.4 (1996): 395-403. <http://eudml.org/doc/219141>.

@article{Dziubińska1996,

abstract = {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.},

author = {Dziubińska, Renata, Szynal, Dominik},

journal = {Applicationes Mathematicae},

keywords = {mean; standard deviation; mixture of distribution functions; quantiles; conditional distributions; Pareto distributions; the Pearson coefficient of skewness; median; Pearson coefficient of skewness},

language = {eng},

number = {4},

pages = {395-403},

title = {On functional measures of skewness},

url = {http://eudml.org/doc/219141},

volume = {23},

year = {1996},

}

TY - JOUR

AU - Dziubińska, Renata

AU - Szynal, Dominik

TI - On functional measures of skewness

JO - Applicationes Mathematicae

PY - 1996

VL - 23

IS - 4

SP - 395

EP - 403

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/219141

ER -

## References

top- [1] H. Hotelling and L. M. Solomons, The limits of a measure of skewness, Ann. Math. Statist. 3 (1932), 141-142. Zbl58.1165.02
- [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.

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