Date of this Version
The Annals of Probability
The uniform empirical integral differences of Sethuraman's large deviation theorem are proved to converge arbitrarily slowly.
The original and published work is available at: https://projecteuclid.org/euclid.aop/1176995672#abstract
empirical measures, slow convergence, uniform convergence
Steele, J. M. (1977). Families of Sample Means Converge Slowly. The Annals of Probability, 5 (6), 1036-1038. http://dx.doi.org/10.1214/aop/1176995672
Date Posted: 27 November 2017
This document has been peer reviewed.
At the time of publication, author J. Michael Steele was affiliated with University of British Columbia. Currently, he is a faculty member at the Statistics Department at the University of Pennsylvania.