You are cordially invited to attend the MMathSci Thesis Presentation of Miru Park. Day: Friday, 3 June Time: 2pm Place: AGR Carslaw and online: https://uni-sydney.zoom.us/j/81574578985 Title: Laguerre Polynomials and Sparse Exponential Mixtures Abstract: We explore certain test statistics based on the Laguerre polynomials for the one-sided version of sparse exponential scale mixture model where the mixing component has a smaller scale than the known reference distribution. We also discuss some properties of these test statistics and how well they perform in comparison to other well-known test statistics.