  It has been recently discovered that the angular autocorrelation function of
gamma-ray bursts exhibits sharp peaks at angular separations of $\lesssim
4\deg$ (Quashnock and Lamb 1993), and at $\gtrsim 176\deg$ (Narayan and Piran
1993). While an excess of very close pairs of bursts can naturally arise from
burst repetition or from a spatial correlation of the burst sources, a physical
explanation for an angular correlation on a scale of $\simeq 180\deg$ seems
inconceivable.
  We show that both sharp peaks in the correlation function can be explained by
a possible bias in the determination of the burst positions. A generic way is
described in which the suggested bias can be introduced into the burst
localization procedure, either through instrumental imperfection or through the
software analyses. We apply Monte Carlo simulations to show that the observed
correlation function can be reproduced by the suggested effect. We demonstrate
that the results can nicely agree with the observations even if only a fraction
of the bursts are subject to the bias.
  We emphasis that the only motivation for suggesting the existence of this
bias are the features found in the angular autocorrelation function. It does
not rule out the possibility that bursts repeat. The natural way in which such
bias, if it exists, explains both sharp peaks, and the various conceivable
causes for the origin of this bias, make the bias hypothesis worth considering.
