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. Author manuscript; available in PMC: 2014 May 2.
Published in final edited form as: SIAM J Imaging Sci. 2013 Aug 23;6(3):1499–1530. doi: 10.1137/120875727

Table 2.

Improvements in bias and variance of estimators. The sample size is N = 1000. Estimation methods: 1) MI [8]; 2) MA; 3) XU (proposed method); 4) RSK [11]. The computation of the biases and standard deviations excluded the instances where α was greater than αmax for the MI, MA, XU methods. A star (*) indicates the best relative RMSE value among the four estimators.

MI MA XU RSK
Total absolute value of the relative bias of α̂ 47.9 19.6 17.5 23.9
Total absolute value of the relative bias of κ̂ 42.2 33.2 34.7 60.7

Total normalized standard deviation of α̂ 108.9 73.7 70.3 84.5
Total normalized standard deviation of κ̂ 117.0 92.0 91.1 62.1

Total value of the relative RMSE of α̂ 120.3 76.7 72.7* 88.2
Total value of the relative RMSE of κ̂ 126.6 99.1 99.1 92.7*