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On a Statistical Framework for Estimation from Random Set Observations
Authors:De-Jun Feng  Ding Feng
Institution:(1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People's Republic of China;(2) Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico, 88003-8001
Abstract:Using the theory of random closed sets, we extend the statistical framework introduced by Schreiber(11) for inference based on set-valued observations from the case of finite sample spaces to compact metric spaces with continuous distributions.
Keywords:Statistical inference  conditional distribution  random sets
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