Statistics Weekly Seminar - Arka Ghosh
Existence of MLEs for the parameters of an adjusted linear preferential attachment model of random graphs with covariates
3:00 pm –
4:00 pm
Hardin Hall - North Wing, HARH 49
3310 Holdrege Street
Lincoln NE 68583-0963
Lincoln NE 68583-0963
Virtual Location:
Zoom
Target Audiences:
Contact:
Department of Statistics, statistics@unl.edu
Abstract:
In this talk, we consider a variation on the preferential attachment model (PAM) of random graphs with covariates. It is similar to the usual PAM but the probability of existence of an edge depends on the node/vertex-level covariates. For this parametric model, the likelihood function becomes complex and hard to solve analytically. In this work, we prove the conditions under which the maximum likelihood estimates (MLEs) are guaranteed to exist.
Bio:
Arka Ghosh is a professor at Iowa State University in the Statistics Department. His research interests are focused in stochastic control, queueing networks, stochastic modeling, random graphs, random walks, statistical classification and clustering, and general applied probability models.
Dr. Ghosh received his Bachelor’s and Master’s Degrees in Statistics from the Indian Statistical Institute in Kolkata, India. He received his PhD. in Statistics at the University of North Carolina, Chapel Hill in 2005 under the supervision of Prof. Amarjit Budhiraja. He joined the Statistics department at Iowa State in 2005 and currently resides in Ames, Iowa.
In this talk, we consider a variation on the preferential attachment model (PAM) of random graphs with covariates. It is similar to the usual PAM but the probability of existence of an edge depends on the node/vertex-level covariates. For this parametric model, the likelihood function becomes complex and hard to solve analytically. In this work, we prove the conditions under which the maximum likelihood estimates (MLEs) are guaranteed to exist.
Bio:
Arka Ghosh is a professor at Iowa State University in the Statistics Department. His research interests are focused in stochastic control, queueing networks, stochastic modeling, random graphs, random walks, statistical classification and clustering, and general applied probability models.
Dr. Ghosh received his Bachelor’s and Master’s Degrees in Statistics from the Indian Statistical Institute in Kolkata, India. He received his PhD. in Statistics at the University of North Carolina, Chapel Hill in 2005 under the supervision of Prof. Amarjit Budhiraja. He joined the Statistics department at Iowa State in 2005 and currently resides in Ames, Iowa.
https://sites.google.com/view/apghosh/
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This event originated in Statistics Seminar.