The research will be focused on how concentration inequalities can be narrowed, beyond Chebyshev’s inequality, and the conditions that allow this. This may occur if a particular class of distributions is considered. Furthermore, a discussion will be made on the theoretical uses of concentration inequalities, such as minimising the uncertainty of a probability estimate or as a tool to analyse probability density functions.
Matthew Hanna is completing his third year undergraduate bachelor in actuarial science and mathematics at Macquarie University. His interests are in pure mathematics, probability theory, and statistical analysis, particularly for their abstract logic that can be applied to practical problem-solving. He is working towards attaining a doctorate in mathematics and to become a fully qualified actuary.