Date and Time: Wednesday, May 10, 2023, at 10.30 am Google Meet Link: meet.google.com/zod-rqkm-giu Speaker: Kalyan Barman, Post-doctoral Fellow, IIT Madras Title: The Title of my Talk is: “ Stable Approximation by Stein’s Method” Abstract: Probability approximation is one of the basic theories in the literature of probability theory. It has wide range of applications in limit theorems, and various field of statistics. Stein’s method is one of the most popular technique studying approximation problems. In this talk, We discuss stable distributions in the context of Stein’s method. We discuss and unify the Stein identity for stable random variables available in the existing literature. We discuss the solution of stable Stein equation via semigroup approach. Further, we discuss error bounds for stable approximations, and also obtain rates of convergence results. Finally, We will show that the optimal convergence rate in the generalized central limit theorem can be obtained using our Stein’s method setup.