On peakedness of distributions of convex combinations

Journal of Statistical Planning and Inference

Volumn 70, Issue 1, 1998, Pages 51-56

  Ma, Chunsheng ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Likelihood ratio order; Majorization; Peakedness; PF2; Schur concave

Indexed keywords

EID: 0032119434     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-3758(97)00178-x     Document Type: Article

References (8)

1. Barlow, R.E., Proschan, F., 1981. Statistical Theory of Reliability and Life Testing. To Begin With, Silver Springs.
2. Birnbaum, Z.W., 1948. On random variables with comparable peakedness. Ann. Math. Statist. 19, 76-81.
3. Chan, W., Park, D.H., Proschan, F., 1989. Peakedness of weighted averages of jointly distributed random variables. In: Gleser, L.J. et al., (Eds.), Contributions to Probability and Statistics, Essays in Honor of Ingram Olkin. Springer, New York, pp. 58-62.
4. Dharmadhikari, S., Joag-Dev, K., 1988. Unimodality, Convexity, and Applications. Academic Press, Boston.
5. Marshall, A.W., Olkin, I., 1979. Inequality: Theory of Majorization and Its Applications. Academic Press, New York.
6. Olkin, I., Tony, Y.L., 1988. Peakedness in multivariate distributions. In: Gupta, S.S., Berger, J.O. (Eds.), Statistical Decision Theory and Related Topics IV, vol. II. Springer, New York.
7. Proschan, F., 1965. Peakedness of distributions of convex combinations. Ann. Math. Statist. 36, 1703-1706.
8. Sherman, S., 1955. A theorem on convex sets with applications. Ann. Math. Statist. 26, 763-766.