Improved Lower Bounds on the Total Variation Distance for the Poisson Approximation
classification
💻 cs.IT
math.IT
keywords
boundslowerdistancepoissonrandomtotalvariationaddressed
read the original abstract
New lower bounds on the total variation distance between the distribution of a sum of independent Bernoulli random variables and the Poisson random variable (with the same mean) are derived via the Chen-Stein method. The new bounds rely on a non-trivial modification of the analysis by Barbour and Hall (1984) which surprisingly gives a significant improvement. A use of the new lower bounds is addressed.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.