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To estimate the amount of total energy consumption to dissension of energy production for future, estimating the statistical model is necessary. The goal of this article is using Vuong's test for non-nested and misspecified finite mixture models, where at the same time we consider the model selection criteria. The simulation study confirms using Vuong's test for mixture models. Based on theoretical results we verified some model selection criteria and Test to selection a model for energy consumption data from Washington, Oregon and California sities in USA. Our data was acquired from http://www.eia.gov/.

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