L. I. Piterbarg, “Parameter Estimation from Small Biased Samples: Statistics vs Fuzzy Logic,” Fuzzy Sets and Sys tems, Vol. 170, No. 1, 2011, pp. 1-21. doi:10.1016/j.fss.2011.01.010

has been cited by the following article:

• TITLE: Estimation of Location Parameter from Two Biased Samples

  AUTHORS: Leonid I. Piterbarg

  KEYWORDS: Biasness; Fuzzy Estimator; Location Parameter

  JOURNAL NAME: Applied Mathematics, Vol.4 No.9, August 30, 2013

  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.