Discrete-Time risk models based on time series for count random variables

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      <subfield code="a">Cossette, Hélène</subfield>
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      <subfield code="a">Discrete-Time risk models based on time series for count random variables</subfield>
      <subfield code="c">Hélène Cossette, Etienne Marceau, Véronique Maume-Deschamps</subfield>
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      <subfield code="a">In this paper, we consider various specifications of the general discrete-time risk model in which a serial dependence structure is introduced between the claim numbers for each period. We consider risk models based on compound distributions assuming several examples of discrete variate time series as specific temporal dependence structures: Poisson MA(1) process, Poisson AR(1) process, Markov Bernoulli process and Markov regime-switching process. In these models, we derive expressions for a function that allow us to find the Lundberg coefficient. Specific cases for which an explicit expression can be found for the Lundberg coefficient are also presented. Numerical examples are provided to illustrate different topics discussed in the paper.</subfield>
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      <subfield code="t">Astin bulletin</subfield>
      <subfield code="d">Belgium : ASTIN and AFIR Sections of the International Actuarial Association</subfield>
      <subfield code="x">0515-0361</subfield>
      <subfield code="g">03/05/2010 Volumen 40 Número 1 - mayo 2010 , p. 123-150</subfield>
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