The study of the relationship between theory of mathematical analysis and probability
Yanjun Xie
Abstract
Yanjun Xie
Abstract
The paper elaborates on the mutual relations between theory of probability and mathematical analysis.Mathematical analysis is a foundational subject which has a quite complete theory system.Its idea and method permeate into theory of probability and strongly promote the development of theory of probability.And in mathematical analysis,some rather difficult problems can be solved conveniently by the method of theory of probability.
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The paper elaborates on the mutual relations between theory of probability and mathematical analysis.Mathematical analysis is a foundational subject which has a quite complete theory system.Its idea and method permeate into theory of probability and strongly promote the development of theory of probability.And in mathematical analysis,some rather difficult problems can be solved conveniently by the method of theory of probability.
Key concepts: Probability theory, Mathematical theory, Imprecise probability, Probability distribution, Mathematical statistics, Mathematical model, Convolution of probability distributions, Probability measure