International Journal of Mathematical Research 2311-7427 2306-2223 10.18488/journal.24/2016.5.2/24.2.179.187 International Journal of Mathematical Research Consistency of a Mixture Model of Two Different Distributions Approach to the Analysis of Buying Behaviour Data International Journal of Mathematical Research International Journal of Mathematical Research 02-2016 2016 02-2016 02-2016 5 2 179 187 19 Dec 2015 19 Sep 2016 A four-parameter probability distribution, which includes a wide variety of curve shapes, is presented. Because of the flexibility, generality, and simplicity of the distribution, it is useful in the representation of data when the underlying model is unknown. Further important applications of the distribution include the modeling and subsequent generation of random variates for simulation studies and Monte Carlo sampling studies of the robustness of statistical procedures. This research centered on combining these two distributions that will simultaneously capture the rate of occurrence of a phenomenon, especially buying behaviour and the actual performance of that phenomenon as well as tracking and forecasting future purchasing pattern based the data. Further important applications of the distribution include the modeling and subsequent generation of random variates for simulation studies of the robustness of statistical procedures. To do this, specification of the hybrid model named Exponential- Gamma mixture model is given and followed by its derivation. The concluding part of the paper depicts an example of the areas of its application.