1. -

3. -
-
-
-
-

4. • Ranked Set Sampling (RSS)

5. (Patil

6. RSS

9. (Mc Intyre 1952)

10. RSS

13. Takahasi-Wakimoto(1968)
RSS

15. X1,X2, …,Xn
X1,x2, …,Xn are i.i.d. f(x)

16. •
x11 x21 . . . xm1
. . . . . .
. . . . . .
. . . . . .
x1m x2m . . . xmm
•

17. •
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

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

19. RSS
m

20. x(1)1 , x(2)2, x(3)3 ….. x(m)m

21. m

23. k
n=km

24. 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

26. .m

27. (balanced )

28. Mathematical Manipulations

30. variance