Further improved recursions for a class of compound Poisson distributionsStathis Chadjiconstantinidis and Georgios Pitselis Insurance: Mathematics and Economics, 2009, vol. 44, issue 2, pages 278-286 Abstract: In the present paper we develop more efficient recursive formulae for the evaluation of the t-order cumulative function [Gamma]th(x) and the t-order tail probability [Lambda]th(x) of the class of compound Poisson distributions in the case where the derivative of the probability generating function of the claim amounts can be written as a ratio of two polynomials. These efficient recursions can be applied for the exact evaluation of the probability function (given by De Pril [De Pril, N., 1986a. Improved recursions for some compound Poisson distributions. Insurance Math. Econom. 5, 129-132]), distribution function, tail probability, stop-loss premiums and t-order moments of stop-loss transforms of compound Poisson distributions. Also, efficient recursive algorithms are given for the evaluation of higher-order moments and r-order factorial moments about any point for this class of compound Poisson distributions. Finally, several examples of discrete claim size distributions belonging to this class are also given. Keywords: t-order; cumulative; distribution; function; t-order; tail; probability; Stop-loss; transforms (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: http://EconPapers.repec.org/RePEc:eee:insuma:v:44:y:2009:i:2:p:278-286 Access Statistics for this article Insurance: Mathematics and Economics is edited by R. Kaas, H. U. Gerber, M. J. Goovaerts and E. S. W. Shiu More articles in Insurance: Mathematics and Economics from Elsevier |
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