麻烦哪位好心人帮忙翻译一下我的论文摘要

The theory of probability and the mathematical statistic are research random phenomenon statistics rule mathematics science. Because the random phenomenon existence's universality, causes in the scientific research, the engineering technology, the economical, the agricultural production and in the management domain also has more and more applications, has made the important contribution for the modernization. Also obtained the vigorous development along with the modern science technology's rapidly expand this mathematics discipline, and has formed the structure great theory. As a result of the probability statistics' practicality and abstractness, concern its many questions to have the counter-example, therefore has the necessity to carry on to the probability statistics counter-example to study.
This article mainly introduced in the random event and the probability question inverse proportion; Related dispersancy random variable distributed and in continual random variable distribution inverse proportion question; Independent and in relevant compatible question inverse proportion introduction; Related random variable digit characteristic inverse proportion discussion; In related parameter estimation and supposition examination inverse proportion question. This article has carried on the detailed elaboration and the analysis to each type's counter-example question, gives the concrete example, and carries on the comparison and the analysis to them, then had the profound understanding to the probability statistics inverse proportion question, deepened to the probability statistics understanding and the understanding.
随机事件；Random event
分布函数；Distribution function
反例；Inverse proportion;
联合分布；Joint distribution
概率；Probability
估计； probability estimates
检验. Examination.

Probability theory and mathematical statistics are statistics on the phenomenon of the random one of Mathematical Sciences. Random phenomenon exists because of the universality, makes a lot of scientific research, engineering, economic, agricultural production and management of the area is also an increasing number of applications , For the modernization drive has made an important contribution to modern science and technology with the rapid development of mathematical subjects that the door has been vigorous development, and formed a large structure of the theory. Since the actual probability and statistics and abstract, it's There are a lot of problems-cases, there is a need for statistical probability of counter-examples to the study.

The text introduces the probability of random events and issues of counter-examples; discrete random variables related to the distribution and continuous random variable distribution of counter-examples; independence and related issues in the Phase capacitive on the counter-examples; number of characteristics of the random variable The counter-examples of; parameters estimates and assumptions in the anti-testing case of problems. The text of each type of counter-examples of the problems described in detail and analysis, are given specific examples, and to compare and analyse them, then the probability and statistics With the issue of anti-profound understanding, and deepen the understanding of probability and statistics and understanding.

Key words: random events; distribution function; counter-examples; joint distribution; probability estimates; test.