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Sequential estimation of a location parameter from delayed observations
Authors:Alicja Jokiel-Rokita  Agnieszka Stępień
Affiliation:(1) Institute of Mathematics and Computer Science, Wroclaw University of Technology, Wybrzże Wyspiańskiego 27, 50-270 Wrocław, Poland
Abstract:The problem of sequentially estimating a location parameter is considered in the special case when the data arrive at random times. Certain classes of sequential estimation procedures are derived under a location invariant loss function and with the observation cost determined by a function of the moment of stopping and the number of observations up to this moment.
Keywords:Location parameter  Loss function  Minimum risk equivariant estimator  Risk function  Stopping time
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