Ruin probabilities by Pad�s method: simple moments based mixed exponential approximations (Renyi, De Vylder, Cram�r�Lundberg), and high precision approximations with both light and heavy tails

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2019

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Abstract

We revisit below Pad� and other rational approximations for ruin probabilities, of which the approximations mentioned in the title are just particular cases. We provide new simple Tijms-type and moments based approximations, and show that shifted Pad� approximations are quite successful even in the case of heavy tailed claims. � 2018, EAJ Association.

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De Vylder approximation, Heavy-tailed density, Pollaczek�Khinchine formula, Renyi and Cram�r�Lundberg approximations, Ruin probability, Shifted Pad� approximation, Spectrally negative L�vy process

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