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研究了随机变量分布区间（ａ，１／３）对三类随机Ｋｏｃｈ曲线岛系列的统计维数的影响，初始图形边长的扩大倍数Ｍ（Ｍ≥１或＜１）同组合岛系列统计维数和相应ｌｇＰ－ｌｇＡ回归直线截距的关系，及初始图形为正ｎ边形的岛系列的统计维数和回归直线的截距随ｎ的变化规律。
The influence of the distribution interval (a, 1/3) of random variables on the statistical dimensions of three types of random Koch curve island series was studied. The expansion multiple of the initial image length M (M ≥ 1 or <1) was the same as that of the combined island series. The relationship between the number and the corresponding lgP-lgA regression line intercept, and the initial graph is the positive n-lateral shape of the island series of statistical dimensions and the intercept of the regression line with the change of n.