Ruin with insurance and financial risks following the least risky FGM dependence structure

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<title>Ruin with insurance and financial risks following the least risky FGM dependence structure</title>
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<namePart>Chen, Yiqing</namePart>
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<abstract displayLabel="Summary">Recently, Chen (2011) studied the finite-time ruin probability in a discrete-time risk model in which the insurance and financial risks form a sequence of independent and identically distributed random pairs with common bivariate FarlieGumbelMorgenstern (FGM) distribution. The parameter 0 of the FGM distribution governs the strength of dependence, with a smaller value of 0 corresponding to a less risky situation. For the subexponential case with -1<0=1, a general asymptotic formula for the finite-time ruin probability was derived. However, the derivation there is not valid for the least risky case 0=-1. In this paper, we complete the study by extending it to ?=-1. The new formulas for 0=-1 look very different from, but are intrinsically consistent with, the existing one for -1<0=1, and they offer a quantitative understanding on how significantly the asymptotic ruin probability decreases when ? switches from its normal range to its negative extremum.</abstract>
<note type="statement of responsibility">Yiqing Chen, Jiajun Liu, Fei Liu</note>
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<title>Insurance : mathematics and economics</title>
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<publisher>Oxford : Elsevier, 1990-</publisher>
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<identifier type="issn">0167-6687</identifier>
<identifier type="local">MAP20077100574</identifier>
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<text>04/05/2015 Volumen 62 - mayo 2015 </text>
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