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International Conference on Statistics, Combinatorics and Related Areas - 7th International Conference of the Forum for Interdisciplinary Mathematics
December 19-21, 2000
Indian Institute of Technology-Bombay
Mumbai, Maharastra, India

Organizers
Satya N. Mishra (University of South Alabama), Sanjeev V. Sabnis (IIT, Bombay)

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Non-parametric multiple target processing
by
M.B. Malyutov
Northeastern University, Boston, MA, USA
Coauthors: A.B. Tsybakov (University of Paris-6, FRANCE)

We estimate the trajectories of several indistinguishable objects observed in noise. These trajectories are described by non-parametric regression functions satisfying certain smoothness conditions. We first estimate symmetrical functions of observations using some kernel technique. The trajectories are then found by solving certain polynomial equations. The consistency of trajectories estimates is proved.

Date received: October 16, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafr-65.