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Convolution equivalence and distributions of random sums

Probability Theory and Related Fields, 2007
A serious gap in the Proof of Pakes’s paper on the convolution equivalence of infinitely divisible distributions on the line is completely closed. It completes the real analytic approach to Sgibnev’s theorem. Then the convolution equivalence of random sums of IID random variables is discussed.
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The Multinomial Combinatorial Convolution Sum

British Journal of Mathematics & Computer Science, 2014
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The Convolution Sum

British Journal of Mathematics & Computer Science, 2014
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