关于适线法中经验频率计算公式的对比研究

阐述适线法的理论基础并简介 1 0个经验频率计算公式 .采用统计试验方法 ,选取常见的 8个经验频率公式 ,对P Ⅲ型分布适线计算的设计值优劣进行对比分析 .结果表明 :用数学期望公式计算的结果偏大 ;华氏公式、海森公式、Маматнов公式的计算结果相对较好 .研究还表明 ,一般用绝对值准则适线求得的结果要优于平方和准则适线的结果

Study on formulas for calculation of empirical frequency in curve-fitting method

A discussion is made on the theoretical basis of the curve fitting method and eleven formulas for calculation of the empirical frequency. By use of the statistical method, the design values by eight formulas are compared and analyzed for the curve fitting calculation of the population from the Pearson type III distribution. It is concluded that the calculated result by the Weiball formula is larger than its theoretical value, that the calculated results by the Huashi formula, the Haizen formula, and the Маматнов formula are satisfactory, and that the result by the least absolute value criterion is generally better than that by the least square criterion.