seminars:datasci:170926 [Department of Mathematics and Statistics, Binghamton University]

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<WRAP centeralign>##Data Science Seminar##\\ Hosted by Department of Mathematical Sciences</WRAP>

  * Date: Tuesday, September 26, 2017
  * Time: 12:00pm -- 1:00pm
  * Room: WH-100E
  * Speaker: Ji Meng Loh (New Jersey Institute of Technology)
  * Title: Single-index model for inhomogeneous spatial point processes

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<WRAP centeralign>**//Abstract//**</WRAP>
I will introduce a single-index model for the intensity of an inhomogeneous spatial point process, relating the intensity function to an unknown function ρ of a linear combination of a p-dimensional spatial covariate process. Such a model extends and generalizes the commonly used log-linear model. I will describe
 an estimating procedure for ρ and for the coefficient parameters β. Consistency and asymptotic normality of estimates of β can be achieved under some regularity assumptions. I will show results from a simulation study showing the effectiveness  of the procedure and from fitting the model to a dataset of fast food restaurant locations in New York City.

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