, -. :
Dâ1 = D(
) = 
,
Dâ2 = D(
max xi) = 
,
Dâ3 = D(x(k) + x(k+1)) 
,
, â 2 , â 3 .
.
:
Dâ1 = 
= 
= 
= 
.
. max xi:
F(z) º P {max xi < z } = P { x1 < z,..., xn < z } = 
= 
;
(z) = F¢(z) = 
, zÎ [0, a ].
Mâ 2 = M(
max xi) = 
= 
,
Mâ22 = M 
= 
,
Dâ2 = Mâ22 (Mâ2)2= 
. , p - , 
, xp p -, f(x) - . ( n = 2k)
0 .5 (x(k) +x (k+1) ) º m
(p = 0.5), f(x0.5) = 1/a, â3 = 2m,
Dâ3=Dm = 
= 
.
. , ? , ; , , k = 20, ( 5 ¸ 10) ( ), . , ( n ) , .
k =20 R [ 0, a=10 ] ᒺ n n=10, 40, 160 . 1,...,k â
w = max ai - min ai
()
Sa= 
, 
.
.5.1 .5.1 .
w S 3 , â2(1,..., n) , â3(1,..., n) - .
3 .
1. ( ).
2. ( ) ( ).
3. г , , , , - .
5.1 .
| â1 | â2 | â3 | ||
| a min | 7.98 | 9.21 | 6.04 | |
| n = 10 | a max | 13.80 | 10.98 | 15.69 |
| w | 5.82 | 1.77 | 9.65 | |
| Sa | 1.51 | 0.53 | 2.35 | |
| a min | 8.59 | 9.77 | 7.02 | |
| n = 40 | a max | 11.35 | 10.24 | 12.89 |
| w | 2.76 | 0.47 | 5.86 | |
| Sa | 0.84 | 0.14 | 1.56 | |
| a min | 9.12 | 9.85 | 8.67 | |
| n = 160 | a max | 11.26 | 10.06 | 12.24 |
| w | 2.14 | 0.21 | 3.57 | |
| sa | 0.50 | 0.05 | 0.94 |
|
|
|
w S 3 , â2(1,..., n) , â3(1,..., n) - .
3 .
1. ( ).
2. ( ) ( ).
3. г , , , , - .
ײ
n = 10 :
1)
2) .
˲Ͳ STATISTICA
ᒺ n = 10
k =20 ᒺ n =10 a1, a2, a3 .
Statistica for Windows, Basic Statistic/Tables. Cancel ( ).
