统计研究 ›› 2001, Vol. 18 ›› Issue (4): 46-48.
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孟生旺, 袁卫
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MENG Sheng-Wang, YUAN Wei
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Abstract: Because of some practical reasons, we suppose that the claim number of a given policy holder is a negative binominal distribution and the structure function of the portfolio is a Beta distribution, then we get a mixed negative binominal distribution(i.e. negative binominal-Beta distribution). The paper discuss the property of the mixed negative binominal distribution and its application to a set of practical data from insurance practice. The result shows that the mixed negative binominal distribution can fit the real observation of claim numbers very well. So we use this model to construct the optimal BMS to adjust the renewal premium of the policy holders. Compared with other BMS’s, this one is more feasible in practice.
孟生旺, 袁卫. 对损失规律的一种新解释:混合负二项分布及其应用[J]. 统计研究, 2001, 18(4): 46-48.
MENG Sheng-Wang, YUAN Wei. A new explanation of Loss Regularity——the mixed negative binominal distribution and its utility[J]. , 2001, 18(4): 46-48.
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