Squared skewness minus kurtosis bounded by 186 / 125 for unimodal distributions

Statistics and Probability Letters

Volumn 50, Issue 2, 2000, Pages 131-135

  Klaassen, Chris A J ^a   Mokveld, Philip J ^a   Van Es, Bert ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Infinitely divisible distributions; Kurtosis; Skewness; Unimodal distributions

Indexed keywords

EID: 0042760487     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(00)00090-0     Document Type: Article

References (9)

1. Boon, P.C., Hendriks, H., Klaassen, C.A.J., Muijlwijk, R., 1999. To t or not to t ? In: Proceedings of the 33rd European Study Group with Industry, 14-18 September 1998, CWI Syllabus 46, CWI, Amsterdam, pp. 1-10.
2. Feller W. An introduction to probability theory and its applications, Vol. II. 2nd Edition:1971;Wiley, New York.
3. Gupta A.K., Móri T.F., Székely G.J. Testing for Poissonity-normality vs. other infinite divisibility. Statist. Probab. Lett. 19:1994;245-248.
4. Johnson N.L., Rogers C.A. The moment problem for unimodal distributions. Ann. Math. Stat. 22:1951;433-439.
5. Móri T.F., Rohatgi V.K., Székely G.J. On multivariate skewness and kurtosis. Theory Probab. Appl. 38:1993;547-551.
6. Pearson K. Mathematical contributions to the theory of evolution, XIX; Second supplement to a memoir on skew variation, Philos. Trans. Roy. Soc. London Ser. A. 216:1916;429-457.
7. Rohatgi V.K., Székely G.J. Sharp inequalities between skewness and kurtosis. Statist. Probab. Lett. 8:1989;297-299.
8. Teuscher F., Guiard V. Sharp inequalities between skewness and kurtosis for unimodal distributions. Statist. Probab. Lett. 22:1995;257-260.
9. Wilkins J.E. A note on skewness and kurtosis. Ann. Math. Statist. 15:1944;333-335.