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中文摘要：
首先对文献Eli中在PA-α模型下有关保险费及收益的上下界的结论做了改进，其次给出了一种实际保费的加权计算公式，并给出实际例子说明了所得结果；最后本文讨论了PA-α模型中α未知的情况下，生存给付S=0，保险费Ⅱ给定，保险公司及投保人对死亡给付D的希望取值，并给出D的上下界的计算公式．
英文摘要：
This paper makes some improvement of the premium and the benefits under the PA-α model, and gives results in [1] about the upper and lower bounds for the a weighted formula to calculate the premium. An example illustrates the result. At the end of this paper, the authors discuss the death benefits D expected by the insurer and policy holder respectively under the PA-α model with α is unknown and the assumptions that the survival benefit S= 0 and the premium it/is given, and then give the formulae to calculate the upper and lower bounds of D.
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