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Applied Mathematics A Journal of Chinese Universities  2015, Vol. 30 Issue (3): 340-346    DOI:
    
Credibility theory of the exponential premium principle based on quantile and trimming
ZHAO Zhen, WU Li-jun
School of Mathematics and System Science, Xinjiang University, Urumqi 830046, China
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Abstract  The credibility premiums based on the quantile and trimming under the exponential premium principle are discussed, respectively. Thus the credibility estimates of the future claim under the single contract and multi contracts are obtained, and the corresponding credibility premiums are derived, which generalizes the classical credibility theory.

Key wordsexponential premium principle      quantile      trimming      credibility estimation     
Received: 16 April 2014      Published: 27 May 2018
CLC:  O211.5  
Cite this article:

ZHAO Zhen, WU Li-jun. Credibility theory of the exponential premium principle based on quantile and trimming. Applied Mathematics A Journal of Chinese Universities, 2015, 30(3): 340-346.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2015/V30/I3/340


指数保费原理下的具有截尾分位数的信度估计

在指数保费原理下, 考虑分位数以及截尾数据来讨论相应的信度保费, 分别得到了单合同和多合同下的未来索赔的信度估计,并给出了相应的信度保费表达式,从而推广了经典的信度理论.

关键词: 指数保费原理,  分位数,  截尾数据,  信度估计 
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