Abstract
Strongness and related error evaluations are investigated on type (B)d, type (A) and type (I) e-equivalence of random variables, which are based on Kolmogorov-Smirnov distance, a difference of random variables and Kullback-Leibler information number, respectively. As an application the Prohorov-LeCam type binomial-Poisson approximation problem is discussed and is given the best possible constant for the problem. Similar discussions are made on the negative binomial-Poisson approximation.
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