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Explicit estimates for the asymptotics of subexponential infinitely divisible distribution functions. (English. Russian original) Zbl 0970.60021
Math. Notes 67, No. 2, 239-244 (2000); translation from Mat. Zametki 67, No. 2, 295-301 (2000).
Let $$F(x)$$ be an infinitely divisible distribution such that $$F(x)=0$$ for $$x<0$$, and let $$q(x)$$ be the corresponding spectral function. In a special case, when $$q(x)$$ has in a sense slow and regular decay, the author obtains order-sharp estimates on the rate of decay of the difference $$|1-F(x)-q(x)|$$.

##### MSC:
 6e+08 Infinitely divisible distributions; stable distributions 6e+16 Inequalities; stochastic orderings
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##### References:
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