Are latest detected events of gravitational waves in favor of some models of inflation based on string theory?

The general potential of power-law inflation is as $ V(\phi)\propto \phi^{n} with scalar field $\phi$. behavior often known expansion like $S(\eta)\propto \eta^{1+\beta}$ $1+\beta<0$. In this paper, the theoretical spectra relic gravitational waves are compared measured strain sensitivity Advanced LIGO and VIRGO, corresponding to latest detected events waves. results show tight constraints on $\beta$ $n$. Also, obtained indicate that special types inflation, prototype, KKLTI models, which originated from string theory, more suitable than other models. Our analysis shows there exist some chances for detection