MAO Zechun, LIU Jine, . A Regression Model Based on Double Parameters Poisson Distribution and Its Applications to Risk Classification[J]. Chinese Journal of Applied Probability and Statistics, 2004, 20(4): 359-367.
Citation: MAO Zechun, LIU Jine, . A Regression Model Based on Double Parameters Poisson Distribution and Its Applications to Risk Classification[J]. Chinese Journal of Applied Probability and Statistics, 2004, 20(4): 359-367.
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A Regression Model Based on Double Parameters Poisson Distribution and Its Applications to Risk Classification

  • Institute of Statistics and Actuary, Shandong Economics University, Jinan, 250014

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  • Received Date: May 16, 2002
  • Revised Date: March 09, 2004
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  • A distribution about claim numbers has been introduced and the regression based on the distribution has been investigated in this paper. This distribution including double parameters, which is over-dispersion about Poisson, can be applied on risk classification. Statistics inference can be used to analyze the departure from Poisson model by testing the parameter of over-dispersion. Two classical examples on risk classification are studied again, one is about ship damage numbers and another is about car claims.
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