Search for tag: "pgee11164"

Topic 43: Measuring Performance of an Estimator (PETARS, Chapter 6)

In this video, the question of measuring and quantifying the performance of an estimator is discussed. The video focusses on the concepts and definitions of bias and variance of the probability…

From  James Hopgood on October 22nd, 2020 0 likes 9 plays 0  

Topic 3: Course Guide and Textbooks (PETARS, Chapter 1)

This video outlines the recommended texts for this course, for any students who would like further texts to read beyond the extensive lecture notes. It also recommends other books for further…

From  James Hopgood on September 21st, 2020 0 likes 48 plays 0  

Topic A: About the Course Lecturer, Dr Hopgood (PETARS, Welcome!)

This video introduces the Course Lecturer, Dr James Hopgood, and tells you a little about himself in a professional capacity and his research interests. This video also discusses the Institute of…

From  James Hopgood on September 15th, 2020 0 likes 79 plays 0  

Topic 27: Properties and examples of joint distributions and densities (PETARS, Chapter 5)

This video looks at the properties of joint-cdf and joint-pdf. It also looks at the probability of arbitrary events, and shows that the relationship to the axiomatic events that define the cdf is…

From  James Hopgood on September 10th, 2020 0 likes 68 plays 0  

Topic 26: Introduction to Random Vectors (PETARS, Chapter 5)

A short introduction to random vectors, why multiple random variables occur as a group, and some example applications of random vectors. A graphical representation of a random vector which builds…

From  James Hopgood on September 9th, 2020 0 likes 64 plays 0  

Topic 21: Probability Transformation Rule and Its Applications (PETARS, Chapter 4)

This video introduces the probability transformation rule, for finding the probability density function of the mapping of another random variable. A derivation of the transformation rule is…

From  James Hopgood on September 5th, 2020 0 likes 73 plays 0  

Topic 18: Introduction to Random Variables and Cummulative Distribution Functions (PETARS, Chapter 4)

This video introduces and defines scalar real random variables, covering the sample/state space, probability of outcomes, and mapping to the real axis. Some simple examples are presented. The video…

From  James Hopgood on September 5th, 2020 0 likes 89 plays 0  

Topic 17: Conditional Probability and Bayes Rule (PETARS, Chapter 3)

This slightly longer than usual video covers conditional probability and gives some examples that are initially counter-intuitive. Bayes theorem is then developed from conditional probability, and…

From  James Hopgood on September 5th, 2020 0 likes 81 plays 0  

Topic 14: Axiomatic Definition of Probability (PETARS, Chapter 3)

The Kolmogorov axioms are the foundations of probability theory introduced by Andrey Kolmogorov in 1933. Using these axioms, this video shows how many other familiar results can be derived from these…

From  James Hopgood on September 5th, 2020 0 likes 79 plays 0  

Topic 2: Course aims and objectives, overview, key themes (PETARS, Chapter 1)

This video gives a very brief introduction to signal processing, describes the course aims and objectives from a high-level, the learning outcomes, and prerequisites needed to study the course. The…

From  James Hopgood on September 5th, 2020 0 likes 22 plays 0  

Topic 13: Bertrand’s Paradox (PETARS, Chapter 3)

This video highlights key difficulties with the classical definition of probability. It uses Bertrand's paradox as a problem in which to study the problems associated with classical…

From  James Hopgood on September 4th, 2020 0 likes 78 plays 0  

Topic 12: Classical Probability (PETARS, Chapter 3)

This video builds on empirical probability and defines the classical definition by considering equally probable outcomes. The video discusses several examples using that can be easily studied with…

From  James Hopgood on September 3rd, 2020 0 likes 73 plays 0