Course Code:
CEID_ΝΥ204
Type:
Semester:
Instructors:
Credit Points:
4
- Random Experiments – Sample space - Events – Axioms of Probability.
- The basic principle of counting and combinatorial analysis
- Conditional Probability and Independence
- Random variables – Cumulative distribution function and probability density function - Jointly Distributed Random Variables.
- Expected value, Variance and Standard deviation.
- Probabilistic inequalities (Markov, Chebyshev, Jensen).
- Moment Generating Functions – Probability Generating functions
- Distributions of Discrete Variables (Bernoulli, Binomial, Geometric, Poisson).
- Distributions of Continuous Variables (Uniform, Normal, Exponential) - Poisson Process
- Central Limit Theorems.
- Descriptive statistics - Correlation of statistical data – Data transformations.
- Inferential statistics - Point Estimation – Estimator Functions
- Special random distributions (χ2, t, F) – Confidence Intervals for the Normal Mean, the Variance and the difference in Means of Two Normal Populations - generalization in Non-Normal Populations.
- Linear Regression
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Oct 10 2021