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Journal of Probability and Statistics
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Special Issues
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
∗
[
̂
𝑟
𝑛
]
I
M
S
E
∗
[
̂
𝑟
N
W
𝐾
𝐸
]
I
M
S
E
∗
[
̂
𝑟
N
W
𝐾
𝐺
]
1
0
0
0
.
0
0
9
3
∗
0
.
0
1
1
1
0
.
0
1
1
5
0
.
2
2
5
0
0
.
0
0
4
5
∗
0
.
0
0
5
3
0
.
0
0
5
5
5
0
0
0
.
0
0
2
6
∗
0
.
0
0
3
1
0
.
0
0
3
2
1
0
0
0
.
0
0
8
3
∗
0
.
0
1
1
1
0
.
0
1
1
5
0
.
1
5
2
5
0
0
.
0
0
4
0
∗
0
.
0
0
5
3
0
.
0
0
5
5
5
0
0
0
.
0
0
2
3
∗
0
.
0
0
3
1
0
.
0
0
3
2
1
0
0
0
.
0
0
7
0
∗
0
.
0
1
1
1
0
.
0
1
1
5
0
.
1
0
2
5
0
0
.
0
0
3
4
∗
0
.
0
0
5
3
0
.
0
0
5
5
5
0
0
0
.
0
0
1
9
∗
0
.
0
0
3
1
0
.
0
0
3
2
*Minimum IMSE* in each row.