Negative association and Srinivasan's sampling process
by
Jonathan Cutler
Montclair State University
Coauthors: Josh Brown-Kramer (Illinois Wesleyan University) and A.J. Radcliffe (University of Nebraska-Lincoln)

We shall present results related to the negative dependence of Srinivasan’s sampling processes (SSPs), which sample k objects out of n possibilities with given marginals. We are interested in whether or not SSPs have a rather strong notion of negative dependence, namely, conditional negative association. We prove that a subclass of SSPs, which we call Tournament SSPs, have conditional negative association. We also give an example of an SSP that does not have conditional negative association. This work grew out of a paper by Dubashi, Jonasson and Ranjan.

Date received: April 20, 2009