Estimation of the parameters of a Markov-modulated loss process in insurance

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      <subfield code="a">Estimation of the parameters of a Markov-modulated loss process in insurance</subfield>
      <subfield code="c">Armelle Guillou, Stéphane Loisel, Gilles Stupfler</subfield>
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      <subfield code="a">We present a new model of loss processes in insurance. The process is a couple View the MathML source where N is a univariate Markov-modulated Poisson process (MMPP) and L is a multivariate loss process whose behavior is driven by N. We prove the strong consistency of the maximum likelihood estimator of the parameters of this model and present an EM algorithm to compute it in practice. The method is illustrated with simulations and real sets of insurance data.</subfield>
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      <subfield code="t">Insurance : mathematics and economics</subfield>
      <subfield code="d">Oxford : Elsevier, 1990-</subfield>
      <subfield code="x">0167-6687</subfield>
      <subfield code="g">02/09/2013 Volumen 53 Número 2 - septiembre 2013 </subfield>
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