ARE THE NEARBY AND PHOTOMETRIC STELLAR LUMINOSITY FUNCTIONS DIFFERENT?

Abstract

The stellar luminosity function derived from the sample of stars within 5.2--20~pc is the nearby luminosity function. The luminosity function obtained from deep low spatial resolution surveys to distances of typically 100--200~pc is the photometric luminosity function. We obtain and tabulate a best estimate of the parent distribution from which Malmquist corrected photometric luminosity functions are sampled. This is presently the most {\it accurate} and {\it precise} available estimate of the true distribution of stars with absolute magnitude for $M_{\rm V}\le16.5$, as derived from low-resolution surveys. Using rigorous statistical analysis we find that the hypothesis that the nearby and photometric luminosity functions estimate the same parent luminosity function can be discarded with 99~per~cent confidence or better for $M_{\rm V}>13,M_{\rm bol}>10$.