Testing the intrinsic randomness in the angular distributions of gamma-ray bursts

The counts-in-cells and the two-point angular correlation function method are used to test the randomness in the angular distributions of both the all gamma-ray bursts collected in the BATSE Catalog, and also their three subclasses (``short,'' ``intermediate,'' ``long''). The methods eliminate the non-zero sky-exposure function of BATSE instrument. Both tests suggest intrinsic non-randomness for the intermediate subclass; for the remaining three cases we use only the correlation function method. The confidence levels are between 95% and 99.9%. Separating the GRBs into two parts (``dim half'' and ``bright half,'' respectively) we obtain the result that the ``dim'' half shows a non-randomness at the 99.3% confidence level from the counts-in-cells test. .