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Estimation of Location Parameter from Two Biased Samples
Department of Mathematics, University of Southern California, Los Angeles, USA
- 1 Department of Mathematics, University of Southern California, Los Angeles, USA
Applied Mathematics·Volume 04 (2013)·Pages 1269–1277·Published 30 August 2013·DOI10.4236/am.2013.49171
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Abstract
We consider a problem of estimating an unknown location parameter from two biased samples. The biases and scale parameters of the samples are not known as well. A class of non-linear estimators is suggested and studied based on the fuzzy set ideas. The new estimators are compared to the traditional statistical estimators by analyzing the asymptotical bias and carrying out Monte Carlo simulations.
KeywordsBiasnessFuzzy EstimatorLocation Parameter
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