This paper develops an empirical likelihood approach to testing for the presence of stochastic ordering among univariate distributions based on independent random samples from each distribution. The proposed test statistic is formed by integrating a localized empirical likelihood statistic with respect to the empirical distribution of the pooled sample. The asymptotic null distribution of this ...

14A sample of thymidine was kindly furnished by Dr. E. E. Snell. 16 Stokstad, E. L. R., J. Biol. Chem., 139, 475 (1941). 16 Stokes, J. L., J. Bact., 48, 201 (1944). 17 Snell, E. E., and Mitchell, H. K., PROC. NATL. ACAD. ScI., 27, 1 (1941). 18 Barnes, F. W., and Schoenheimer, R., J. Biol. Chem., 151, 123 (1943). 19 Sonne, J. C., Buchanan, J. M., and Deluva, A. M., Ibid., 173, 69 (1948). 2 Bucha...

Stochastic orders on point processes are partial orders which capture notions like being larger or more variable. Laplace functional ordering of point processes is a useful stochastic order for comparing spatial deployments of wireless networks. It is shown that the ordering of point processes is preserved under independent operations such as marking, thinning, clustering, superposition, and ra...

We extend the definition of level-crossing ordering of stochastic processes, proposed by Irle andGani (2001), to the case in which the times to exceed levels are compared using an arbitrary stochastic order, and work, in particular, with integral stochastic orders closed for convolution. Using a sample-path approach, we establish level-crossing ordering results for the case in which the slower ...