This course offers the basic methodology to analyze a statistical data from an objective viewpoint and a subjective viewpoint.
By the end of this course, students will be able to understand:
1) How to handle objective data and to apply it.
2) How to handle subjective data.
data, random variable, probability density function, sample, normal distribution, log-normal distribution, Weibull distribution, estimation, testing, Bayes' theorem, posterior probability
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Required learning should be completed outside of the classroom for preparation and review purpose.
Towards the end of class, students are given exercise or homework problems related to what is taught.
Course schedule | Required learning | |
---|---|---|
Class 1 | Basic of Stastics, probability and dandom variable Data & stastistic, probability, sample, independent event, complementafy event, conditional probability and random variable are lerned. | case study related on conditional probability |
Class 2 | Probability Distribution (1) binomial distribution, Poisson distribution and nomal distribution are lerned. | applicatin exercises on normal distribution |
Class 3 | Probability Distribution (2) log-nomal distribution and Weibull distribution are lerned. | applicaton exercises on Weibull distribution |
Class 4 | Sample poluation and the sample methodorogy of sample survey is lerned. | exersice on sample survey |
Class 5 | Estimation and Testing method of stastical estimation and tesiteing are lerned | case study related on estimation |
Class 6 | Subjective statistics Bayes' theorem is lened | exersice on conditional probability based on Bayesian |
Class 7 | Bayesian statistics (1) Baysian networks and updating of postenior probability are lerned. | case study related on updating of postenior probability |
Class 8 | Bayesian statistics (2) Baysian estimation is lerned. | comparison of maximum-likelihood, MCMC and Baysian estimation |
Course materials are provided during class
Course materials are provided during class
Exercise problems (50%), Reports (50%)
N/A
mkubouch[at]chemeng.titech.ac.jp