Absolute income hypothesis, as one of the most critical contents in the employment theory proposedby 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 researchof 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, inthepresent 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. Inthis article, therefore, to understand the traditional research methods of mathematical statistics, onthebasis 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 cananalysis in the organic fusion of modern economic life, the number of specific problems existing inthepractice of social and economic development, Therefore, it belongs to the main direction of economictheory exploration
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