Imagine you are training an AI to play chess. Whenever it makes a wrong move, you point out the mistake and explain the reason. In the world of deep learning, the Loss Function plays a similar role.

The Role of Probability Distribution in Business Management. Future events are far from certain in the business world. This is especially true for smaller businesses, which tend to have more ...

Fundamental methods are developed for the derivation of the probability density function and moments of rational algebraic functions of independent random variables. Laplace and Mellin integral ...

In cases where the utility function is increasing with upper and lower bounds then the utility function can be characterized by a distribution function, and we can take advantage of the various ...

Discover what a log-normal distribution is, its financial applications, and how to calculate it, including using Excel for practical financial analysis.

When do probability distribution functions (PDFs) about future climate misrepresent uncertainty? How can we recognise when such misrepresentation occurs and thus avoid it in reasoning about or ...

The course covers the probability, distribution theory and statistical inference needed for advanced courses in statistics and econometrics. Michaelmas term: Probability.