Absolute income hypothesis, as one of the most critical contents in the employment theory proposed by Keynes, is a hypothesis proposed according to the consumption level and specific changes of consumers. In mathematics to study the core of sustainable development economics, the research of scholars on the relationship between economics and mathematical tools put forward more questions, most of the research results are based on inspection absolute income hypothesis as the core, in the present theoretical basis of economics at the same time, the use of statistics to provide practical research of the required information, select effective study method combined with mathematics. In this article, therefore, to understand the traditional research methods of mathematical statistics, on the basis of absolute income hypothesis proved for the empirical analysis, and the final result proves that the mathematical tools, has a close relationship between knowledge economics, statistics, three can analysis in the organic fusion of modern economic life, the number of specific problems existing in the practice of social and economic development, Therefore, it belongs to the main direction of economic theory exploration.