Risk analyses made in the area of seismic activity are going to be of great importance in determining the earthquake interoccurence times. Several statistical methods have been developed for this purpose. Recently, Exponential, Gamma and Weibull distributions are the frequently used methods in this regard. In this study, we investigate the interoccurence time statistics of earthquakes which occurred in the area coordinated 39 degrees-42 degrees N latitude and 30 degrees-40 degrees E longitude in the North Anatolian Fault Zone (NAFZ) between the years 1960-2008, with a mixture of two different distributions of Exponential, Gamma and Weibull and a mixture of the same kind of distribution. We found that the mixture distributions are more suitable than the other examined distribution models for small magnitudes (m(c) >= 3). Also Weibull-Gamma and Weibull-Exponential distributions are agreeable for large magnitudes (m(c) >= 5). (c) 2011, V.S. Sobolev IGM, Siberian Branch of the RAS. Published by Elsevier B.V. All rights reserved.