Revisiting the parametrization of equation of state of dark energy via SNIa data

In this paper, we revisit the parametrizations of the equation of state of dark energy and point out that comparing merely the  χ²  of different fittings may not be optimal for choosing the 'best' parametrization. Another figure of merit for evaluating different parametrizations based on the area of the   w ( z ) − z   band is proposed. In light of the analysis of some two-parameter parametrizations and models based on available SNIa data, the area of   w ( z ) − z   band seems to be a good figure of merit, especially in the situation that the value of  χ²_min  for different parametrizations are very close. Therefore, we argue that both the area of the   w ( z ) − z   band and  χ²_min  should be synthetically considered for choosing a better parametrization of dark energy in the future experiments.