let 9₁, 92, Yn reprecent the order statistic Prom Fo(x). Where Fo(Y) is the cumulative funcation Yxx = ²,2₁₁₁-1 and given lay Ep (Y) = < (7) [F (y)] ³ [ 1- FCD]n-j [(y) = 2 (²) [F(y)]^ [ 1_ FCy)] U=n n-n' Fly) = 2 (^) [Figs]` [1- Fcg)] "-" nzi a [F(9)]" 1_ [=#F(y)] " H.W
let 9₁, 92, Yn reprecent the order statistic Prom Fo(x). Where Fo(Y) is the cumulative funcation Yxx = ²,2₁₁₁-1 and given lay Ep (Y) = < (7) [F (y)] ³ [ 1- FCD]n-j [(y) = 2 (²) [F(y)]^ [ 1_ FCy)] U=n n-n' Fly) = 2 (^) [Figs]` [1- Fcg)] "-" nzi a [F(9)]" 1_ [=#F(y)] " H.W
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
use the first picture to prove the equation in the second picture.
![√2
Rank
0
let the Sample form N(4,64) is: 8, 10, 0, -20, 15, 30, lod
20, 0, 8, 10, 15, 30, 100 → Increasting
Defr
Therem :-
Resuall
order Statistics.
the distribution
Po(t)
to
let x₁, x₂, be arandom sample of sizen from
or P₂(x) or F(x) Then,
SX) as defined be
the order statistic concaguancity to the random sample
crseponding
Xox, X(₂), Xpy [ ^<^<
let 9₁, 92, Yn reprecent the order statistic from Fo(x).
Where ForY) is the cumulative funcation Yxx
and given by Fy (Y) = < (7) [F(y)] ³ [ 1- FCD] -√
Feys=
[(y) = 2 (^) [Fcy)]^ [ L_ FC)]
w=n
2 (^) [Figs]` [1- F(g)]^-1
nzi
n-n'
a
= 1,2₁7
[F(9)]"
t
1_ [#F(y)]"
H.W](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff738ced-0f3b-412d-a4c4-f5aff119d8b9%2Fe0055254-fd7d-4c19-92cf-9cbea7af37ed%2Fm8egh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:√2
Rank
0
let the Sample form N(4,64) is: 8, 10, 0, -20, 15, 30, lod
20, 0, 8, 10, 15, 30, 100 → Increasting
Defr
Therem :-
Resuall
order Statistics.
the distribution
Po(t)
to
let x₁, x₂, be arandom sample of sizen from
or P₂(x) or F(x) Then,
SX) as defined be
the order statistic concaguancity to the random sample
crseponding
Xox, X(₂), Xpy [ ^<^<
let 9₁, 92, Yn reprecent the order statistic from Fo(x).
Where ForY) is the cumulative funcation Yxx
and given by Fy (Y) = < (7) [F(y)] ³ [ 1- FCD] -√
Feys=
[(y) = 2 (^) [Fcy)]^ [ L_ FC)]
w=n
2 (^) [Figs]` [1- F(g)]^-1
nzi
n-n'
a
= 1,2₁7
[F(9)]"
t
1_ [#F(y)]"
H.W
![Prov:.
ו-
[(y) = 1- [1₂ F(y)]^](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff738ced-0f3b-412d-a4c4-f5aff119d8b9%2Fe0055254-fd7d-4c19-92cf-9cbea7af37ed%2Fj8i026h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prov:.
ו-
[(y) = 1- [1₂ F(y)]^
Expert Solution
Step 1
We have a random sample of size n.
represents the order statistics of the random variable X with CDF
Step by step
Solved in 2 steps
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