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We compare the observed distribution of peak fluxes, F peak , of gamma-ray bursts with simulated distributions. On the basis of the cumulative F peak distribution, we show that a standard candle galactic halo and a standard candle no-evolution cosmological model both reproduce well the distributions presently observed by BATSE and PVO. One can distinguish between these two particular models once the BATSE sample size is larger than 1600 bursts. However, because one can always invoke more complex galactic or extragalactic scenarios, it will never be possible to distinguish with certainty between distance scales on the basis of the log N-log F peak , distribution alone

Examining Galactic and Extragalactic Gamma-Ray Burst Models Using the Peak Flux Distribution