Journal of Probability and Statistics / 2012 / Article / Tab 1

Research Article

A Criterion for the Fuzzy Set Estimation of the Regression Function

Table 1

IMSE* values of the estimations for the fuzzy set estimator and the kernel estimators.

𝑣 𝑛 I M S E βˆ— [ Μ‚ π‘Ÿ 𝑛 ] I M S E βˆ— [ Μ‚ π‘Ÿ N W 𝐾 𝐸 ] I M S E βˆ— [ Μ‚ π‘Ÿ N W 𝐾 𝐺 ]

  1 0 0 0 . 0 0 9 3 βˆ— 0 . 0 1 1 1 0 . 0 1 1 5
0 . 2 2 5 0 0 . 0 0 4 5 βˆ— 0 . 0 0 5 3 0 . 0 0 5 5
  5 0 0 0 . 0 0 2 6 βˆ— 0 . 0 0 3 1 0 . 0 0 3 2

  1 0 0 0 . 0 0 8 3 βˆ— 0 . 0 1 1 1 0 . 0 1 1 5
0 . 1 5 2 5 0 0 . 0 0 4 0 βˆ— 0 . 0 0 5 3 0 . 0 0 5 5
  5 0 0 0 . 0 0 2 3 βˆ— 0 . 0 0 3 1 0 . 0 0 3 2

  1 0 0 0 . 0 0 7 0 βˆ— 0 . 0 1 1 1 0 . 0 1 1 5
0 . 1 0 2 5 0 0 . 0 0 3 4 βˆ— 0 . 0 0 5 3 0 . 0 0 5 5
  5 0 0 0 . 0 0 1 9 βˆ— 0 . 0 0 3 1 0 . 0 0 3 2

*Minimum IMSE* in each row.

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