Acoustic emissions (AE) produced during the compressive fracture of a brittle rock have been subjected to detailed analysis using an advanced software for the computation of b-value as well as improved b-value. Conventionally, the b-value of AE is calculated using the Gutenberg-Richter relationship, which is widely used in seismology. Determination of improved b-value is a new approach, which is computed from AE amplitude distribution data. It involves filtering of high and low amplitude AE hits (or events) in a selective manner. The results obtained by both these methods to evaluate the fracture process in the rock are compared and discussed.