, . (). , , , :
) , ( , ),
1 | 2 | k | ||||
ni | n1 | n2 | ni | nk | ||
³ |
n=n1+n2+nk, , i>j, ;
) h ( ), . ni , - , ,
- h=xi-xi-1 | [x0,x1] | [x1,x2] | [xi-1,xk] | [xk-1,xk] | ||
ni | n1 | n2 | ni | nk | ||
³ Wi | W1 | W2 | Wi | Wk |
.
) () 䳿 X<x :
, (1)
n(x) , , n ᒺ ; , , F*(x3), , 3, ᒺ n.
()
. (2)
F(x) . г , F(x) 䳿 X<x, F*(x) 䳿. . , n F*(x) F(x) , . () .
, F*(x) F(x). ij, F*(x) :
1)
2) F*(x) - ;
3) 1 , F*(x)=0 x<x1, xk ,
F*(x)=1 x>xk.
, () .
: , , , .
(), (x,ni) (x,Wi) ( ). , ni Wi. (xi,ni) (xi,Wi) 璺 .
|
|
ó . , , ni , - . , , h, . , , , . - - ( ) - , ᒺ .
(x,F*(x)) ( ).
(x,F*(x)) ( ).
1. , : 39, 40, 41,40, 43, 41, 44, 42,40,42, 41, 41, 43, 42, 39, 42, 43, 41, 42, 41, 38, 42, 42, 41, 40, 41, 43, 39, 40, .
г. :
/ | - | ni | Ni | n(x) | F*(x) |
1 | 38 | 1 | 1/30 | 1 | 1/30 |
2 | 39 | 3 | 1/10 | 4 | 2/15 |
3 | 40 | 5 | 1/6 | 9 | 3/10 |
4 | 41 | 9 | 3/10 | 18 | 3/5 |
5 | 42 | 7 | 7/30 | 25 | 5/6 |
6 | 43 | 4 | 2/15 | 29 | 29/30 |
7 | 44 | 1 | 1/30 | 30 | 1 |
2. , :
2 5 9
5 8 10
8 11 25
11 14 6
h=3 | Wi | |
2-5 | 9/50 | 3/50 |
5-8 | 10/50 | 1/15 |
8-11 | 25/50 | 1/6 |
11-14 | 6/50 | 1/25 |
г. , n=9+10+25+6=50, .