Solar Flares Data Analysis on application of Probability Distributions and Fractal Dimensions and a comparative analysis of North-South Hemispheric Solar Flares Data Behavior | Proceedings of Pakistan Academy of Sciences 2014

Author(s)

Danish Hassan Mathematical Sciences Research Centre Federal Urdu University of Arts, Sciences and Technology, Karachi, Pakistan

Shaheen Abbas Mathematical Sciences Research Centre Federal Urdu University of Arts, Sciences and Technology, Karachi, Pakistan

M.R.K Ansari Department of Mathematics Sir Syed Engineering University, Karachi, Pakistan

Bulbul Jan Institute of Space and Planetary Astrophysics, University of Karachi, Pakistan

Abstract

Since Solar Flares are associated with the sunspots. Solar flares have different length, durationand peakness in different intervals as sunspots have. The Solar Flares index data starting from 1966 to2008 (Monthly Flare Index Cycles "20, 21, 22, 23") in both North and South hemisphere separately alongwith total Solar Flares data. This paper compared the North, South and total hemispheric Solar Flares datain perspective of probability distributions such as Gamma, Log-Gamma and Chi-square which tested byKolmogrove-Smirnov D-test and then their persistency by using fractal dimension. Further we estimate theHurst exponent with the help of fractal dimension. Fractal dimension shows complex of the data whileHurst exponent represents smoothness of the data. All the tested probability distributions in this papershow persistency and positively correlated. The use of probability distributions allows to represents theuncertainties in the solar flares data. This study will be helpful to verify the long term smoothness of datatrends and conclude the results will be present so forecast values will be more accurate

Publication Details

Page(s) 345-353

DOI DOI not available

Published Journal: Proceedings of Pakistan Academy of Sciences, Volume: 51, Issue: 4, Year: 2014

Keywords

Gamma Distribution Hurst Exponent Fractal Dimension ChiSquared Distribution LogGamma Distribution Solar Flares

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