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Univariate continuous distribution theory

Offered By: The Open University via OpenLearn

Tags

Statistics & Probability Courses Probability Density Functions Courses Cumulative Distribution Functions Courses Continuous Random Variables Courses Moment Generating Functions Courses Statistical Models Courses

Course Description

Overview

This free course looks at a number of the basic properties of statistical models. Section 1 is concerned with the distributions of continuous random variables which are described by their probability density functions (pdfs) and cumulative distribution functions (cdfs). Section 2 is concerned with moments and covers, the concept of expectation or expected value, the familiar notion of the mean, also known as the first moment, two general definitions of moments, variance, random variables linked by linear transformation and finally, how to deal with moments all in one go, using the moment generating function.

Syllabus

  • Introduction
  • Learning outcomes
  • Link to course PDF
  • Conclusion
  • Acknowledgements

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