International Scholarly Research Notices

Research Article

On the Order Statistics of Standard Normal-Based Power Method Distributions

Table 5

Expected values of order statistics for 𝑝 3 ( 𝑍 ) = ( 4 / 4 3 ) 𝑍 5 for 𝑛 = 4 , 5 .
𝐸 [ 𝑝 3 ( 𝑍 ) 3 ∶ 4 ] = − 7 7 √ 4 3 2 𝜋 3 / 2 + 𝐸 [ 𝑝 1 ( 𝑍 ) 3 ∶ 4 ] = 0 . 0 6 9 6 1 5 5 6 9 …
𝐸 [ 𝑝 3 ( 𝑍 ) 4 ∶ 4 ] = 7 7 √ 1 2 9 2 𝜋 3 / 2 + 𝐸 [ 𝑝 1 ( 𝑍 ) 4 ∶ 4 ] = 1 . 1 0 5 1 7 3 9 7 …
𝐸 [ 𝑝 3 ( 𝑍 ) 3 ∶ 5 ] = 0
𝐸 [ 𝑝 3 ( 𝑍 ) 4 ∶ 5 ] = − 3 8 5 √ 1 2 9 2 𝜋 3 / 2 + 𝐸 [ 𝑝 1 ( 𝑍 ) 4 ∶ 5 ] = 0 . 1 1 6 0 2 5 9 4 …
𝐸 [ 𝑝 3 ( 𝑍 ) 5 ∶ 5 ] = 3 8 5 √ 2 5 8 2 𝜋 3 / 2 + 𝐸 [ 𝑝 1 ( 𝑍 ) 5 ∶ 5 ] = 1 . 3 5 2 4 6 0 9 8 …