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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 accurate and precise available estimate of the true distribution of stars with absolute magnitude for Mν ν > 13, Mbol > 10.
Pavel Kroupa (Wed,) studied this question.