Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 4
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    BRÄNDÉN, PETTER and JONASSON, JOHAN 2012. Negative Dependence in Sampling. Scandinavian Journal of Statistics, Vol. 39, Issue. 4, p. 830.

    van den Berg, J. and Jonasson, J. 2012. A BK inequality for randomly drawn subsets of fixed size. Probability Theory and Related Fields, Vol. 154, Issue. 3-4, p. 835.

    KRAMER, JOSH BROWN CUTLER, JONATHAN and RADCLIFFE, A. J. 2011. Negative Dependence and Srinivasan's Sampling Process. Combinatorics, Probability and Computing, Vol. 20, Issue. 03, p. 347.

    Kahn, J. and Neiman, M. 2010. Negative correlation and log-concavity. Random Structures & Algorithms, Vol. 37, Issue. 3, p. 367.

  • Combinatorics, Probability and Computing, Volume 16, Issue 1
  • January 2007, pp. 29-41

Positive Influence and Negative Dependence

  • DOI:
  • Published online: 01 August 2006

We study negative dependence properties of a sampling process due to Srinivasan to produce distributions on level sets with given marginals. We give a simple proof that the distribution satisfies negative association. We also show that under a linear match schedule it satisfies the stronger condition of conditional negative association via a non-trivial application of the Feder–Mihail theorem. This method involves the notion of a variable of positive influence. We give some results and related counter-examples which might shed some light on its role in a theory of negative dependence.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Combinatorics, Probability and Computing
  • ISSN: 0963-5483
  • EISSN: 1469-2163
  • URL: /core/journals/combinatorics-probability-and-computing
Please enter your name
Please enter a valid email address
Who would you like to send this to? *