【摘要】 一般的损失分布为伽玛分布、威布尔分布或他们的特例指数分布 .但有些损失分布具有 U形特征 .本文根据二项式定理的另一种拓展形式 ,导出了一类新型组合恒等式 ,并将其推广到多维情形 .由此导出一类新的分布列 .最后给出了该恒等式和分布在图论和质量管理中的应用 .更多还原

【Abstract】 Based on the extension of the binomial theorem, known as Abel Theorem, Some of new combinatorial identities have been derived in this paper. We also generalized the Abel’s theorem to multiple dimensions, and some applications in graph theorem and quality administrating considered by using the generalization.更多还原