Exploring the Indian summer monsoon rainfall through multifractal detrended fluctuation analysis and the principle of entropy maximization

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 q^thorder 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.