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International Scholarly Research Notices
Table of Contents
International Scholarly Research Notices
/
2012
/
Article
/
Tab 3
/
Research Article
On the Order Statistics of Standard Normal-Based Power Method Distributions
Table 3
Expected values of order statistics for
𝑝
1
(
𝑍
)
=
𝑍
for
𝑛
=
4
,
5
.
𝐸
[
𝑝
1
(
𝑍
)
3
∶
4
3
]
=
−
√
𝜋
+
1
8
t
a
n
−
1
√
(
1
/
2
)
𝜋
3
/
2
=
0
.
2
9
7
0
1
1
3
8
…
𝐸
[
𝑝
1
(
𝑍
)
4
∶
4
3
]
=
√
𝜋
−
6
t
a
n
−
1
√
(
1
/
2
)
𝜋
3
/
2
=
1
.
0
2
9
3
7
5
3
7
…
𝐸
[
𝑝
1
(
𝑍
)
3
∶
5
]
=
0
𝐸
[
𝑝
1
(
𝑍
)
4
∶
5
5
]
=
−
√
𝜋
+
3
0
t
a
n
−
1
√
(
1
/
2
)
𝜋
3
/
2
=
0
.
4
9
5
0
1
8
9
7
…
𝐸
[
𝑝
1
(
𝑍
)
5
∶
5
5
]
=
√
𝜋
−
1
5
t
a
n
−
1
√
(
1
/
2
)
𝜋
3
/
2
=
1
.
1
6
2
9
6
4
4
7
…