Abstract
In the paper we consider a random linear model for observations provided by spatially located sensors measuring signals coming from one source. For this model a set of sufficient and complete statistics are found, and it is shown that the maximum likelihood estimators of unknown parameters (characteristics of the source) are functions of those statistics. The problem of nonnegative estimators of variance components of the model is shortly discussed. Comparisons of the mean squared errors of several estimators are given. Numerical example concerning hunting for defects in solar cells is considered in details.
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Gnot, S., Rafajłowicz, E. & Urbańska-Motyka, A. Statistical Inference in a Linear Model for Spatially Located Sensors and Random Input. Annals of the Institute of Statistical Mathematics 53, 370–379 (2001). https://doi.org/10.1023/A:1012426923971
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DOI: https://doi.org/10.1023/A:1012426923971