Asymptotic analysis of risk quantities conditional on ruin for multidimensional heavy-tailed random walks

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      <subfield code="a">Liu, Jingchen</subfield>
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      <subfield code="a">Asymptotic analysis of risk quantities conditional on ruin for multidimensional heavy-tailed random walks</subfield>
      <subfield code="c">Jingchen Liu, Jae-Kyung Woo</subfield>
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      <subfield code="a">In this paper we consider a multidimensional renewal risk model with regularly varying claims. This model may be used to describe the surplus of an insurance company possessing several lines of business where a large claim possibly puts multiple lines in a risky condition. Conditional on the occurrence of ruin, we develop asymptotic approximations for the average accumulated number of claims leading the process to a rare set, and the expected total amount of shortfalls to this set in finite and infinite horizons. Furthermore, for the continuous time case, asymptotic results regarding the total occupation time of the process in a rare set and time-integrated amount of shortfalls to a rare set are obtained</subfield>
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      <subfield code="w">MAP20077100574</subfield>
      <subfield code="t">Insurance : mathematics and economics</subfield>
      <subfield code="d">Oxford : Elsevier, 1990-</subfield>
      <subfield code="x">0167-6687</subfield>
      <subfield code="g">03/03/2014 Volumen 55 Número 1 - marzo 2014 </subfield>
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