A credibility recursive model is established by replacing the square loss function with Mlinex loss function.The credibility premium of the (t+1)th year is the weight of the tth year's claim,the tth year's credibility premium and the collective premium.This model is proved to give larger weight to the claims of more recent years and less weight to the claims of more distant years.

%U https://zkxb.jsu.edu.cn/EN/10.13438/j.cnki.jdzk.2019.02.005