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

Avram F.Banik A.D.Horvath A.2025-02-1720191http://dx.doi.org/10.1007/s13385-018-0180-8https://idr.iitbbs.ac.in/handle/2008/2204We 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.enDe Vylder approximationHeavy-tailed densityPollaczek�Khinchine formulaRenyi and Cram�r�Lundberg approximationsRuin probabilityShifted Pad� approximationSpectrally negative L�vy processRuin 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 tailsArticle