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Numerical methods for the time of ruin
, 2013 In this paper we study the distribution of the time to ruin in the classical risk model. We employ the Gram-Charlier and Edgeworth series to approximate this distribution. We prove, by using numerical calculation methods, that the Edgeworth approximation gives better results. We also examine asymptotic behaviour of the moments of the time to ruin.
PIETROLUONGO, Maria Fortuna
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Mean Ruin Time for Gambler's Ruin Problem
2011 International Conference on Business Computing and Global Informatization, 2011In this note, we point out mean ruin time is a concept which is different from mean persisting gambled time and present theoretical and numerical solutions for mean ruin time of gambler's ruin problem. Then we employ Monte Carlo simulation to verify that mean ruin time of the gambler with less initial fortune is far less than mean persisting gambled ...
Xu Meiping, Xu Yuanwei
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Causality: Ruin Time and Ruins
Leonardo, 1988A ruin is defined as the disjunctive product of the intrusion of nature upon an edifice without loss of the unity produced by the human builders. Ruin time, proposed as the principal cause of ruin, serves also to unify the ruin. In a ruin the edifice, the human-made part, and nature are one and inseparable; an edifice separated from its natural setting
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North American Actuarial Journal, 1998
Abstract This paper studies the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The time of ruin is analyzed in terms of its Laplace transforms, which can naturally be interpreted as discounting. Hence the classical risk theory model is generalized by discounting with respect to the time of ruin. We
Hans U. Gerber, Elias S.W. Shiu
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Abstract This paper studies the joint distribution of the time of ruin, the surplus immediately before ruin, and the deficit at ruin. The time of ruin is analyzed in terms of its Laplace transforms, which can naturally be interpreted as discounting. Hence the classical risk theory model is generalized by discounting with respect to the time of ruin. We
Hans U. Gerber, Elias S.W. Shiu
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Temporal Deconstructions: Narrating the Ruins of Time
2022Glenda Norquay looks at fiction by Kate Atkinson, A.L. Kennedy, Ali Smith and Louise Welsh, and at their preoccupation with what Smith calls the ‘annoying’ fact of temporality. For Norquay, the four writers challenge temporality politically, in order to contest conventional narratives around romance and ultimately to address the gendering of history ...
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Symbolic calculation of the moments of the time of ruin
Insurance: Mathematics and Economics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Drekic, Steve +2 more
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On the Probability of (Non-) Ruin in Infinite Time
Scandinavian Actuarial Journal, 2001In the context of the classical Poisson ruin model Gerber (1988a,b) and Shiu (1987, 1989) have obtained two formulae for the ruin and non ruin probabilities in infinite time. Here these two formulae are generalized to the case of an arbitrary premium process when all claims are integer-valued, as in Picard & Lefevre (1997).
Picard, P., Lefèvre, Claude
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Insurance: Mathematics and Economics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chiu, S. N., Yin, C. C.
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Chiu, S. N., Yin, C. C.
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2008
The English translation of W. G. Sebald’s slim volume of reflections on air war and literature, On the Natural History of Destruction, took its title from Solly Zuckerman’s 1945 project to report on the destruction of Cologne. Overwhelmed by the experience, he never wrote the report realizing that he did not have the language to describe the utter ...
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The English translation of W. G. Sebald’s slim volume of reflections on air war and literature, On the Natural History of Destruction, took its title from Solly Zuckerman’s 1945 project to report on the destruction of Cologne. Overwhelmed by the experience, he never wrote the report realizing that he did not have the language to describe the utter ...
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Acta Mathematicae Applicatae Sinica, English Series, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xing, Yongsheng, Wu, Rong
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xing, Yongsheng, Wu, Rong
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