Testing the Intrinsic Randomnesses 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 randomnesses in the angular distributions of both the all gamma-ray bursts collected at BATSE Catalog, and also their three subclasses ("short", "intermediate", "long"). The methods elimate the non-zero sky-exposure function of BATSE instrument. Both tests suggest intrinsic non-randomnesses for the intermediate subclass; for the remaining three cases 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 on the 99.3% confidence level from the counts-in-cells test.