中文摘要：

选定上证综指及上交所分类的五类指数（工业类、商业类、地产类、公用事业类、综合类）为例，对其进行降趋势脉动分析（DFA）。发现这些序列的绝对值收益率序列的均有长记忆性。各个指数的长程相关性指数是不同的。最后对较早上市的12支地产类股票进行降趋势脉动分析，发现了上证综指、分类指数及个股间的长记忆性的强弱关系。其中上证综指绝对值收益率的长程相关性程度最高。其次为各个分类指数，个股的长程相关性普遍落于其所属类别指数。

英文摘要：

We selected five indexs of benchmark Shanghai Composite Index and the Shanghai Stock Exchange of classification Index（Industrial class, business class, property type, utilities, Miscellaneous）. Put them into downward trend analysis of pulsation（DFA）. We found that the absolute rate of return of these sequences have a long memory sequences.The long-range correlation index of each index is different. Finally, put the earlier 12 listed property stocks into downward trend analysis of pulsation,finding the strength of the relationship between long memory of shanghai Composite Index, stock index and individual stocks. Among them the long-range correlation degree of Shanghai Composite absolute yield is the highest,then each sub-index. Long-range correlation of individual stocks generally fall in their respective category indices.