Person: Diao, Hansheng
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Publication The Eigencurve is Proper
(2014-06-06) Diao, Hansheng; Kisin, Mark; Gross, Benedict; Mazur, BarryColeman and Mazur constructed a rigid analytic curve Cp,N, called the eigencurve, whose points correspond to all finite slope overconvergent p-adic eigenforms. We prove the conjecture that the eigencurve Cp,N is proper over the weight space for any prime p and tame level N.
Publication Generalized Random Utility Models with Multiple Types
(Neural Information Processing Systems Foundation, Inc., 2013) Azari Soufiani, Hossein; Diao, Hansheng; Lai, Zhenyu; Parkes, DavidWe propose a model for demand estimation in multi-agent, differentiated product settings and present an estimation algorithm that uses reversible jump MCMC techniques to classify agents' types. Our model extends the popular setup in Berry, Levinsohn and Pakes (1995) to allow for the data-driven classification of agents' types using agent-level data. We focus on applications involving data on agents' ranking over alternatives, and present theoretical conditions that establish the identifiability of the model and uni-modality of the likelihood/posterior. Results on both real and simulated data provide support for the scalability of our approach.