Since there are too many subclasses of heavy - tailed distributions and their relations are very complicated , in chap 2 of this paper , we ' ll discuss the dominant relations of heavy - tailed distributions , and obtain the equivalent condition of the distributions which can dominate all light - tailed distributions , as well as those which can dominate all light - tailed distributions and lightly heavy - tailed distributions , in section 2 . 2 由于重尾分布族分類眾多,各子族之間的關(guān)系復(fù)雜,本論文將在第二章討論重尾分布間的控制關(guān)系,在2 2節(jié)得到了能控制一切輕尾分布的等價(jià)條件,以及能控制一切輕度重尾分布,從而也能控制一切輕尾分布的分布的等價(jià)條件, 2