Statistical Theory I
Learning Outcomes
On successful completion of this Course, students will be able to: Understand and able to derive basic concepts of Random Variable, Probability Density Function, Distribution Function, and Moment Generating Function; Able to apply basic concepts of Random Variable, Probability Density Function in real problems; Able to compute Expected Value of Random Variable from Probability Density Function and Moment Generating Function; Understand various special distribution and their characteristics.
Topics
- Probability, Conditional Probability and Random Variable
- Probability Function and Probability Density Function
- Discrete Probability Distribution
- Continuous Probability Distribution
- Distribution Function, Multivariate Distributions, Marginal Distributions, Conditional Distributions
- Expected Value of Random Variable
- Moment Generating Function
- Unbiasedness, Consistency, and Limiting Distributions.
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