Using multifractal detrended fluctuation analysis (MF-DFA), the pre-monsoon rainfall and Indian summer monsoon rainfall (ISMR) from 1871 to 2016 are examined in this work for northeast India. According to observations, rainfall during the pre-monsoon and summer monsoons both exhibit persistence and quasi-randomness. The generalized Hurst Exponent value indicates that the pre-monsoon rainfall time series and the summer monsoon rainfall time series have long-term positive auto-correlation. The fluctuation function obtained through MF-DFA by means of the slopes of ln(Fq(s)) against ln(s) plots is dominated by segments with significant variance, which leads us to believe that the rainfall time series related to the pre- and summer monsoon exhibit multifractal behaviour. The presence of multifractality in the pre- and summer monsoon rainfall time series is further substantiated through the association between the qth-order variance and the length scale.

这项工作使用多重分形去趋势波动分析 (MF-DFA)，研究了 1871 年至 2016 年印度东北部的季风前降雨量和印度夏季季风降雨量 (ISMR)。据观测，前季风和夏季风期间的降雨均表现出持续性和准随机性。广义赫斯特指数值表明前季风降雨时间序列与夏季季风降雨时间序列存在长期正自相关。通过 MF-DFA 通过ln(Fq(s))对ln(s)的斜率获得的波动函数图中主要由具有显着方差的部分组成，这使我们相信与前季风和夏季季风相关的降雨时间序列表现出多重分形行为。通过 q 阶方差与长度尺度之间的关联，进一步证实了前季风和夏季季风降雨时间序列中多重分形的存在。