Structual Thought Method And Its Application In Probability And Mathematical Statistics

The mathematics thinking and method is the soul of mathematics,is of communication between each part of knowledge,is the bridge which forms the skills and abilities.And structural thought method is a kind of more classic mathematics thinking method in the method of mathematical thought.It plays an important role throughout the mathematics development,such as the structure of the irrational number2^1/2overthrew the rule of Pythagorean logarithmic series,and Weierstrass creatively constructing "unhealthy" function and so on.And the theory of probability and mathematical statistics is a branch of mathematics discipline to study random phenomena and statistical regularity.This paper mainly summarizes and studies structural thought method and the application of the structural thought method in theory of probability and mathematical statistics.This paper first introduces the meaning and characteristics of structural thought method,using the structural thought method to solve the problem need to abide by the principle,using the structural thought method to solve which type of problems;Then,summarized the structural thought method some classic application in probability theory such as probability model to prove identity structure,using structural thought method by constructing counter-examples to prove conclusive problems and so on;Finally we apply structural thought method to solve the problem of minimizing confidence interval,which has two aspects:the estimated variance interval of single normally distribution and the estimated ratio of two different normally distribution’s variance and lastly introduce the condition to be satisfied.