Concepts and measures for skewness with data-analytic implications

Canadian Journal of Statistics

Volumn 24, Issue 1, 1996, Pages 131-140

  Benjamini, Yoav ^a   Krieger, Abba M ^a  

^a NONE

Author keywords

Graphical methods; Measures of asymmetry; Relative skewness; Stochastic ordering; Symmetry

Indexed keywords

EID: 0030542498     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315695     Document Type: Article

References (13)

1. Benjamini, Y., and Krieger, A.M. (1995). On the consistency of tests of symmetry. Nonparametric Statist., 4, 283-292.
2. Doksum, K.A., (1975). Measures of location and asymmetry. Scand. J. Statist., 2, 11-22.
3. Golani, I., Benjamini, Y., and Eilam, D. (1992). Stopping behavior: Constraints on exploration in rats. Behavioral Brain Res. 1-13.
4. Groeneveld, R.A., and Meeden, G. (1984). Measuring skewness and Kurtosis. Statistician, 33, 391-399.
5. Hoaglin, D.V., Mosteller, F., and Tukey, J.W. (1985). Exploring Data Tables, Trends and Shapes. Wiley, New York.
6. Hogg, R.V. (1974). Adaptive robust procedures: A partial review and some suggestions for future applications and theory. J. Amer. Statist. Assoc., 69, 909-922.
7. Karlin, S. (1968). Total Positivity. Stanford Univ. Press, Stanford.
8. MacGillivray, H.L. (1986). Skewness and asymmetry: Measures and orderings. Ann. Statist., 14, 994-1011.
9. Oja, H. (1981). On location, scale, skewness and kurtosis of univariate distributions. Scand. J. Statist., 8, 154-168.
10. Parzen, E. (1979). Nonparametric statistical data modelling. J. Amer. Statist. Assoc., 74, 105-120.
11. Tukey, J.W. (1977). Exploratory Data Analysis. Addison-Wesley, Reading, Mass.
12. van Zwet, W.R. (1964). Convex Transformations of Random Variables. Math. Centrum, Amsterdam.
13. Yule, G.U. (1912). An Introduction to the Theory of Statistics. First Edition. Charles Griffin, London.