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Properties of a three‐dimensional estimator
Author(s) -
Ladany Shaul P.,
Sklar Michael G.
Publication year - 1994
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/1520-6750(199410)41:6<789::aid-nav3220410608>3.0.co;2-n
Subject(s) - estimator , mathematics , bias of an estimator , statistics , standard deviation , stein's unbiased risk estimate , scale (ratio) , point (geometry) , minimum variance unbiased estimator , geometry , physics , quantum mechanics
A large‐scale simulation was conducted to investigate the statistical properties and the suitability of an estimator that estimates the coordinates of a three‐dimensional source, according to the angles at which several observers view the source. The estimator uses a heuristical averaging method of estimates obtained from the solution of six two‐dimensional problems that utilize line‐to‐point transformations. The estimator was found to be approximately unbiased with low standard deviations for normal error distributions. An effective and easy‐to‐use forecasting formula was developed to forecast the parameters of the distributions of the estimates. © 1994 John Wiley & Sons, Inc.