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Fig 1.

Graphs of the functions of Uk’s M-estimator (A) Objective function, (B) Ψ-function and (C) weight function.

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Fig 1 Expand

Fig 2.

Scatter plot of apple dataset.

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Fig 2 Expand

Table 1.

Parameters of apple production dataset.

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Table 1 Expand

Table 2.

PREs for the apple production dataset (%).

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Table 2 Expand

Fig 3.

Scatter plot of public school expenditures dataset.

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Fig 3 Expand

Table 3.

Parameters of public school expenditures real dataset.

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Table 3 Expand

Table 4.

PREs for the public school expenditures real dataset (%).

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Table 4 Expand

Fig 4.

Comparison plot of the proposed estimators.

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Fig 4 Expand

Table 5.

Control of condition II for efficiency of the proposed estimator.

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Table 5 Expand

Fig 5.

PREs of the proposed estimator against under symmetric and skewed distributions.

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Fig 5 Expand

Table 6.

B coefficients for M-Estimators under different distributions, rate of outliers and sample sizes.

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Table 6 Expand

Table 7.

PREs of robust estimators by simulation (%).

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Table 7 Expand