  the present paper, we propose that the stellar initial mass distributions as
known as IMF are best fitted by $q$-Weibulls that emerge within nonextensive
statistical mechanics. As a result, we show that the Salpeter's slope of
$\sim$2.35 is replaced when a $q$-Weibull distribution is used. Our results
point out that the nonextensive entropic index $q$ represents a new approach
for understanding the process of the star-forming and evolution of massive
stars.
