有关游程的概率计算公式的研究

The Research on the Probability Formula of Run

游程及其相关理论广泛应用于随机检验、质量控制、DNA数据分析等许多领域,在推导出贝努利试验中最长游程的概率发生函数的公式基础之上,使用组合数学的方法得出关于游程的概率递推公式,进而推导出一个新的便于计算的最长游程的概率分布计算公式,总结出关于游程的一个一般表达式。

Run and correlated theory have been applied to many fields widely, for exam- ple, randomized test, quality control, date analyzing of DNA and so on. This paper deduces the recursion of the distribution of the longest run on the basis of probability generation function and gets easier formulas, and the general expression of run is achieved.