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A new method for obtaining sharp compound Poisson approximation error estimates for sums of locally dependent random variables
compound Poisson approximation coupling inequality law of small numbers
2010/10/19
Let $X_1,X_2,...,X_n$ be a sequence of independent or locally dependent random variables taking values in $\mathbb{Z}_+$. In this paper, we derive sharp bounds, via a new probabilistic method, for the...
Explicit Bounds for the Approximation Error in Benford's Law
Approximation Error Benford's Law
2009/3/19
Benford’s law states that for many random variables X > 0 its leading digit D = D(X) satisfies approximately the equation ℙ(D = d) = log 10(1 + 1∕d) for d = 1,2,…,9. This phenomenon follows from...