Information theoretical methods as discerning quantifiers of the equations of state of neutron stars

•We used information theory tools to discern different compositions for compact stars.•Hadronic and quark stars analogues behave differently when analyzed with these tools.•The effects of different equations of state are singled out in this work.

In this work we use the statistical measures of information entropy, disequilibrium and complexity to discriminate different approaches and parametrizations for different equations of state for quark stars. We confirm the usefulness of such quantities to quantify the role of interactions in such stars. We find that within this approach, a quark matter equation of state such as SU(2) NJL with vectorial coupling and phase transition is slightly favoured and deserves deeper studies.