阜阳师范学院学报(自然科学版)
阜暘師範學院學報(自然科學版)
부양사범학원학보(자연과학판)
JOURNAL OF FUYANG TEACHERS COLLEGE(NATURAL SCIENCE EDITION)
2014年
2期
85-87,107
,共4页
中心极限定理%条件%结论%注记
中心極限定理%條件%結論%註記
중심겁한정리%조건%결론%주기
central limit theorem%condition%conclusion%note
中心极限定理是概率论的一类重要的基础性定理,应用非常广泛,但基于理论性较强,不易掌握。就林德伯格-列维中心极限定理、棣莫弗-拉普拉斯中心极限定理及李雅普诺夫中心极限定理,分析定理的条件和结论,指出三个中心极限定理的关系,提出六点注记,得到几个实用的定理。
中心極限定理是概率論的一類重要的基礎性定理,應用非常廣汎,但基于理論性較彊,不易掌握。就林德伯格-列維中心極限定理、棣莫弗-拉普拉斯中心極限定理及李雅普諾伕中心極限定理,分析定理的條件和結論,指齣三箇中心極限定理的關繫,提齣六點註記,得到幾箇實用的定理。
중심겁한정리시개솔론적일류중요적기출성정리,응용비상엄범,단기우이론성교강,불역장악。취림덕백격-렬유중심겁한정리、체막불-랍보랍사중심겁한정리급리아보낙부중심겁한정리,분석정리적조건화결론,지출삼개중심겁한정리적관계,제출륙점주기,득도궤개실용적정리。
Central limit theorem is an important basic theorem of probability theory and it has been put into use widely. How-ever, because of its complicated theory, it is difficult for people to grasp the theorem. Lindeberg-Levy central limit theorem, Demoivre-Laplace central limit theorem and Liapounoff central limit theorem were studied in the paper. By analyzing the conditions and the conclusions of the theorems, we discussed the relations of the three central limit theorems and pointed out a few notes. At last some practical theorems were gained.