PIMS-UVic Distinguished Lecture: Rahul Mukherjee

Orthogonal arrays have numerous applications in various disciplines including statistics, engineering and cryptography. We will revisit the celebrated Bose-Bush bound on orthogonal arrays and examine how an elementary approach, based on a certain mean-variance inequality, can lead to a possibly stronger version of this bound. Further prospects, including extension to mixed-level orthogonal arrays and a connection with multivariate analysis, will be indicated.