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Description
From polarized Deep Inelastic scattering (DIS) asymmetries, and cross-section data, it is possible to extract the polarized structure functions g1 and g2. In the Parton model picture of proton, the structure function g1p is expressed in terms of g1p = ∆Σ + ∆G, the net quark and gluon helicity contributions to the proton spin. This spin structure function can also be used to understand the controversies associated with the sign problem of ∆G. We present a rigorous approach to study the correlations between the spin structure function g1 with ∆Σ and ∆G. We perform a likelihood analysis of the polarized DIS spin structure function data using Markov chain Monte Carlo (MCMC) sampling method. The analysis shows preliminary results with a detailed explanation of the method employed. We also try to address some of the problems arriving in the approach which obstruct in studying the sign problem of ∆G.