On reciprocal symmetry

Journal of Statistical Planning and Inference

Volumn 138, Issue 10, 2008, Pages 3039-3043

  Jones, M C ^a  

^a OPEN UNIVERSITY   (United Kingdom)

Author keywords

Log location scale; Log normal; Log symmetry; R symmetry

Indexed keywords

EID: 45049083020     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2007.11.006     Document Type: Article

References (17)

1. Abadir K.M. The mean-median-mode inequality: counterexamples. Economet. Theory 21 (2005) 477-482
2. Arnold B.C., and Groeneveld R.A. Measuring skewness with respect to the mode. Amer. Statist. 49 (1995) 34-38
3. Averous J., Fougéres A.L., and Meste M. Tailweight with respect to the mode for unimodal distributions. Statist. Probab. Lett. 28 (1996) 367-373
4. Boshnakov G.N. Some measures for asymmetry of distributions. Statist. Probab. Lett. 77 (2007) 1111-1116
5. Bowley, A.L., 1937. Elements of Statistics, sixth ed. Scribner, New York.
6. Cabilio P., and Masaro J. A simple test of symmetry about an unknown median. Canad. J. Statist. 24 (1996) 349-361
7. Critchley, F., Jones, M.C., 2005. Density-based skewness and kurtosis. Technical Report 05/06, Department of Statistics, Open University, available from 〈http://statistics.open.ac.uk/TechnicalReports/TechnicalReportsIntro.htm〉.
8. Fang K.T., Kotz S., and Ng K.W. Symmetric Multivariate and Related Distributions (1990), Chapman & Hall, London
9. Groeneveld R.A., and Meeden G. Measuring skewness and kurtosis. The Statistician 33 (1984) 391-399
10. Johnson, N.L., Kotz, S., Balakrishnan, N., 1994. Continuous Univariate Distributions, vol. 2, second ed. Wiley, New York.
11. Jones M.C. Connecting distributions with power tails on the real line, the half line and the interval. Internat. Statist. Rev. 75 (2007) 58-69
12. Lawless J.F. Statistical Models and Methods for Lifetime Data. second ed (2003), Wiley, Hoboken, NJ
13. Marshall A.W., and Olkin I. Life Distributions Structure of Nonparametric, Semiparametric, and Parametric Families (2007), Springer, New York
14. Mudholkar G.S., and Natarajan R. The inverse Gaussian models: analogues of symmetry, skewness and kurtosis. Ann. Inst. Statist. Math. 54 (2002) 138-154
15. Mudholkar G.S., and Wang H. IG-symmetry and R-symmetry: interrelations and applications to the inverse Gaussian theory. J. Statist. Plann. Inference 137 (2007) 3655-3671
16. Pewsey A. Testing circular symmetry. Canad. J. Statist. 30 (2002) 591-600
17. Rieck J.R., and Nedelman J.R. A log-linear model for the Birn baum-Saunders distribution. Technometrics 33 (1991) 51-60