Skip Navigation

Biometrika 1969 56(3):661-680; doi:10.1093/biomet/56.3.661
© 1969 by Biometrika Trust
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by MILES, R. E.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

The asymptotic values of certain coverage probabilities

R. E. MILES

The Australian National University Canberra

Consider n arbitrary subsets of a set X. Suppose lies in H(x) of these subsets and define and . That is, the least and most covered regiona of X are respectively H- and H-covered, with 0 ≤ H ¯ ≤ n. Alternatively, H and ¯ determine the overall coverage of X by, and the maximal concentration of, the subsets in X, respectively. Each subset is taken to be the uniform random image of a fixed congruent subset of X , the n images being stochastically independent. The asymptotic value as are determined for m = 0, 1, ....


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.