中文摘要：

该文受Berkson将检验方法用于估计未知参数的启发，根据三个拟合优度统计量导出三种新的求取等值系数的方法，即：平方根等值方法（Square Root criterion，SQRTcrit）、对称相对熵等值方法（Symmetric Relative Entropy criterion，SREcrit）、加权等值方法（Weighted criterion，Wcrit），即Haebara准则的加权式。虽然在被检验的两个分布列很接近时，这三个多项拟合优度检验方法是渐近等价的，然而用它们求取等值系数时，Monte-Carlo模拟结果表明这三种新等值方法的行为表现存在差异。它们之间的差异和随机误差的大小有密切关系，即与项目参数估计的精度有关；还与等值系数A的范围有关。

英文摘要：

This paper is inspired by applying Test Statistic to estimate unknown parameter, three new solving the equating coefficients methods （for short, equating method） are proposed in the light of goodness-of-fit test statistic, that are Square Root method, Symmetric Relative method, Weighted method which is the Weighted Haebara method. When two distributions are approximate, the three goodness-of-fit test statistic are near equivalent. But what is the result about the three equating methods derived from test statistic.9 Monte - Carlo study shows that there are differences among three equating methods. The difference has closely relationship with estimation random error and the domain of equating coefficient A.