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Exploring the Indian summer monsoon rainfall through multifractal detrended fluctuation analysis and the principle of entropy maximization
Earth Science Informatics ( IF 2.8 ) Pub Date : 2021-06-11 , DOI: 10.1007/s12145-021-00641-2
Sombit Chakraborty , Surajit Chattopadhyay

The present paper reports a rigorous study of the Indian Summer Monsoon Rainfall (ISMR) through Multifractal Detrended Fluctuation Analysis (MF-DFA). It has been observed that the ISMR is characterized by multifractality and Hurst Exponent above 0.5. It has been interpreted from the Hurst Exponent value that the ISMR time series is characterized by long term positive auto-correlation. Studying the strong correlation between the qthorder fluctuation and the length scale the multifractality has been confirmed within the ISMR time series. Finally, the entropy associated with ISMR has been computed using the principle of entropy maximization and the potential of entropy maximizing principle has been established over conventional fitting of normal distribution to ISMR.



中文翻译:

通过多重分形去趋势波动分析和熵最大化原理探索印度夏季风降雨

本论文报告了通过多重分形去趋势波动分析 (MF-DFA) 对印度夏季风降雨量 (ISMR) 的严格研究。据观察,ISMR 的特点是多重分形和赫斯特指数高于 0.5。从 Hurst 指数值可以看出,ISMR 时间序列具有长期正自相关的特征。研究Q之间的强相关性序波动和长度尺度的多重分形已被证实的ISMR时间序列内。最后,使用熵最大化原理计算了与 ISMR 相关的熵,并且在正态分布对 ISMR 的常规拟合上建立了熵最大化原理的潜力。

更新日期:2021-06-13
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