Technical University Of Delft

**Probability and Statistics**

TI2216M

Iowa State Course Substitution

**Engineering Statistics**

STAT 305

Course Info

- International Credits:
- 5.0
- Converted Credits:
- 3.0
- Semester:
- fall
- Country:
- Netherlands
- Language:
- English
- Course Description:
- Axiomatic introduction of probability (space). Some elementary combinatorics to find probabilities. Conditional probability; Bayes' rule; stochastic (in)dependance. Random variable, probability mass functon, density function, distribution function. Standard distributions: Binomial, Poisson, Geometric, Normal, Uniform, Exponential. Expectation and variance; Jensen's inequality. Multivariate random variables; joint distribution; (in)dependance. (Conditional) Expectation, Covariance, Correlation. Cebychev's inequality; Law of Large numbers; Central Limit Theorem. Poisson process. Sampling theory; mean, sample variance, histogram, empirical distribution function, boxplot. Linear Regression. Theory of Estimators: Bias, Efficiency; Moment Estimators, Maximum Likelihood Estimators. Confidence intervals of Mean and Proportion. t-distribution Testing theory: Type I/II Error, p-value, significance level, critical region

### Review

- Evaluation Date:
- August 8, 2016
- Evaluated:
- Peter Sherman
- Comments: