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International Scholarly Research Notices
/
2012
/
Article
/
Tab 10
/
Research Article
On the Order Statistics of Standard Normal-Based Power Method Distributions
Table 10
Expected values of order statistics for
𝑝
1
(
𝑍
)
=
𝑍
for
𝑛
=
9
.
𝐸
[
𝑝
1
(
𝑍
)
5
∶
9
]
=
0
𝐸
[
𝑝
1
(
𝑍
)
6
∶
9
]
=
−
3
7
8
𝜀
2
𝜋
5
/
2
+
1
7
6
4
𝜀
3
𝜋
7
/
2
−
3
7
8
t
a
n
−
1
√
(
1
/
2
)
2
𝜋
5
/
2
+
1
7
6
4
t
a
n
−
1
√
(
1
/
2
)
3
𝜋
7
/
2
=
0
.
2
7
4
5
2
5
9
1
…
𝐸
[
𝑝
1
(
𝑍
)
7
∶
9
]
=
1
0
0
8
𝜀
2
𝜋
5
/
2
−
1
7
6
4
𝜀
3
𝜋
7
/
2
−
1
2
6
t
a
n
−
1
√
(
1
/
2
)
𝜋
3
/
2
+
1
0
0
8
t
a
n
−
1
√
(
1
/
2
)
2
𝜋
5
/
2
−
1
7
6
4
t
a
n
−
1
√
(
1
/
2
)
3
𝜋
7
/
2
=
0
.
5
7
1
9
7
0
7
8
…
𝐸
[
𝑝
1
(
𝑍
)
8
∶
9
]
=
−
1
8
√
𝜋
−
8
8
2
𝜀
2
𝜋
5
/
2
+
7
5
6
𝜀
3
𝜋
7
/
2
+
2
5
2
t
a
n
−
1
√
(
1
/
2
)
𝜋
3
/
2
−
8
8
2
t
a
n
−
1
√
(
1
/
2
)
2
𝜋
5
/
2
+
7
5
6
t
a
n
−
1
√
(
1
/
2
)
3
𝜋
7
/
2
=
0
.
9
3
2
2
9
7
4
5
…
𝐸
[
𝑝
1
(
𝑍
)
9
∶
9
]
=
1
8
√
𝜋
+
2
5
2
𝜀
2
𝜋
5
/
2
−
1
2
6
𝜀
3
𝜋
7
/
2
−
1
2
6
t
a
n
−
1
√
(
1
/
2
)
𝜋
3
/
2
+
2
5
2
t
a
n
−
1
√
(
1
/
2
)
2
𝜋
5
/
2
−
1
2
6
t
a
n
−
1
√
(
1
/
2
)
3
𝜋
7
/
2
=
1
.
4
8
5
0
1
3
1
6
…
