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