2020 - 2021 Junior Program
Applied Mathematic Junior Webinar
The junior Webinar was set up to invite doctoral students at the end of their thesis or young doctors from prestigious research structures. It is also an opportunity to be informed about work in progress
May 2021
Tuesday 25 May
5 pm KSA
4 pm FR / 3 pm TUN
Title: Affine diminishing urns.
Soumeya Idriss: PHD thesis at University of Monastir (Tunisia)
Title: Unbalanced Non-linear Urn models.
Abstract: We consider a non-linear urn model submitted to a non-balanced replacement matrix in which the drawing rule involves a concave function. We managed to retrieve limit laws for the urn composition. We present as well a theoretical application as we consider an urn model that obeys two types of strategies.
From 2017 at now Soumeya Idriss is a Phd candidate in probability at the university of Monastir, Tunisia. The subject of her Phd Thesis is around Polya Urns and some applications.
Soumeya Idriss have one research paper: Nonlinear unbalanced urn Models: A stochastic approximation point of view, Journal: Methodology and computing in applied probability
And one submitted paper: Nonlinear urn models with two types of strategies: A stochastic approximation point of view.
June 2021
Tuesday 15 June
5 pm KSA
3 pm FR / 3 pm TUN
Title: Affine diminishing urns.(link to video)
Speaker: SHUYANG GAO. USA.
Abstract: In this talk, we introduce a class of two-colour (white-blue) affine balanced urns diminished by the repeated drawing of multisets. We discuss the role of affinity condition in multiple-drawing urn models. For the proposed class, we investigate the composition of the urn at different stages of drawing. Assuming the urn starts with n balls, of which α.n + g(n), with α ∈ [0, 1] and g(n) = o(n), are white, we find a major phase transition between a sublinear number of draws j = o(n) and the linear case in which j = θn + h(n). In both sublinear and linear phases, we get central limit theorems, however the normalization in each phase is significantly different. The interplay of the different forces, such as θ, α, and the perturbation functions g(n) and h(n) puts a number of restrictions and influences the parameterization in the central limit theorem. The methods of proof are based on recurrence, martingales and asymptotic analysis. (joint work with Dr. Mahmoud).
MiniBio: Shuyang Gao is a PhD candidate in Statistics at The George Washington University. Her research area is in random discrete structures, particularly urn models. Department of Statistics Columbian College of Arts & Sciences.
2016 - Present: Ph. D. in Statistics. “On Some Classes of Urn Models with Multiple-drawing”
Aug. 2014 – May 2016: Columbian College of Arts & Sciences, The George Washington University.
Master of Science in Statistics. Dissertation: “On Two-color Monotonic Self-equilibrium Urn Models” Aug.
2012 – May 2014: Robert H. Smith School of Business, University of Maryland, College Park, MD Master of Finance.
Aug. 2008 – Jun. 2012: University of International Business and Economics (UIBE), Beijing, China Bachelor of Economics, Finance.