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確率 [DS1](GIGA/GG/GI)


科目名確率 [DS1](GIGA/GG/GI) [ シラバス ]


担当者 西岡 啓二
授業期間2015年秋学期 金曜日2時限
授業レベル 学部
参考文献 参考文献リスト

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第01回2015/09/25 Basic probability
- course content
Random Experiments, Events, the axioms of probability,Some important 
theorems on probability

第02回2015/10/02 【非公開】Conditional probability
- reference
- class content
the definition, theorems on conditional probability, Baye's Theorem 
of Rule

第03回2015/10/09 【非公開】Combinatorial analysis
- class content
permutations, combinations, Stirling's formula

第04回2015/10/16 【非公開】Random variables
- class content
the definition, discrete probability distributions, continuous 
probability distributions

第05回2015/10/23 【非公開】Continuous random variables
independent random variables, functions of random variables, 
conditional distributions

第06回2015/10/30 【非公開】Joint distributions
discrete and continuous cases, conditional distributions, 

第07回2015/11/06 【非公開】Mathematical expectation
- class context
the definition, some theorems

第08回2015/11/27 【非公開】The variance and standard deviation
the definition, some thorems

第09回2015/12/04 【非公開】Moments
the definition, some properties, characteristic functions

第10回2015/12/11 【非公開】Variance for joint distributions, covariance
some properties, correlation, conditional expectation

第11回2015/12/18 【非公開】Binomial distributions
the definition, some properties

第12回2015/12/25 【非公開】Normal distributions
- class content
the definition, some properties, relation between binomial and 
normal distributions 

第13回2016/01/08 Poisson distributions
the definitions, relations among poisson and binomial and normal 

第14回2016/01/15 Mock examination
- mock examination
review of some notions

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