KGC


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PROBABILITY [DS1](GIGA/GG/GI)

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TitlePROBABILITY [DS1](GIGA/GG/GI) [ Syllabus ]



Faculty Keiji Nishioka
Term2015 Fall
Level Undergraduate


Inquiry - Inquiry about this course


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#012015/09/25 Basic probability
- course content
Random Experiments, Events, the axioms of probability,Some important 
theorems on probability


#022015/10/02 【非公開】Conditional probability
- reference
- class content
the definition, theorems on conditional probability, Baye's Theorem 
of Rule

#032015/10/09 【非公開】Combinatorial analysis
- class content
permutations, combinations, Stirling's formula

#042015/10/16 【非公開】Random variables
- class content
the definition, discrete probability distributions, continuous 
probability distributions

#052015/10/23 【非公開】Continuous random variables
independent random variables, functions of random variables, 
conditional distributions

#062015/10/30 【非公開】Joint distributions
discrete and continuous cases, conditional distributions, 

#072015/11/06 【非公開】Mathematical expectation
- class context
the definition, some theorems

#082015/11/27 【非公開】The variance and standard deviation
the definition, some thorems

#092015/12/04 【非公開】Moments
the definition, some properties, characteristic functions

#102015/12/11 【非公開】Variance for joint distributions, covariance
some properties, correlation, conditional expectation

#112015/12/18 【非公開】Binomial distributions
the definition, some properties

#122015/12/25 【非公開】Normal distributions
- class content
the definition, some properties, relation between binomial and 
normal distributions 

#132016/01/08 Poisson distributions
the definitions, relations among poisson and binomial and normal 
distributions

#142016/01/15 Mock examination
- mock examination
review of some notions


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