-

-

-

-

-

-

• Ranked Set Sampling (RSS)

(Patil

RSS

(Mc Intyre 1952)

RSS

Takahasi-Wakimoto(1968)

RSS

X1,X2, …,Xn

X1,x2, …,Xn are i.i.d. f(x)

•

x11 x21 . . . xm1

. . . . . .

. . . . . .. . . . . .

x1m x2m . . . xmm

•

•

x(1)1 x(2)1 . . . . . . x(m)1

x(1)2 x(2)2 . . . . . . x(m)2

. . . . . . ..... . . ...

x(1)m x(2)m . . x(m)m

x(1)1

x(2)1

x(2)2

. x(m)m

RSS

m

x(1)1 , x(2)2, x(3)3 ….. x(m)m

m

k

n=km

x1(1)1 , x1(2)2, x1(3)3 ….. x1(m)m

x2(1)1 , x2(2)2, x2(3)3 ….. x2(m)m

x3(1)1 , x3(2)2, x3(3)3 ….. x3(m)m

………………………………………………

xk(1)1 , xk(2)2, xk(3)3 ….. xk(m)m

.m

(balanced )

Mathematical Manipulations

variance