, . () 0. () 1, . , , 0, . , . ( .)
, .. : 1) , ; 2) , . a. Ÿ .
, .
, . , . : , .
: ( .; .); 0.
, a=ò . f(k)dk+ò+¥f(k)dk
-¥ ..
,
ò+¥f(k)dk=a/2. f(k) a , ..
..
.
()= D(x)=G2x; Y - ()= D(x)=G2y
.
0: = 1: .
a.
.
c. Þ ()= D(x)=G2x/n. . Þ ()= D()=G2y/m
.-. Þ (-)=0 D(x-)=G2x/n+G2y/m. = .- .
Ö G2x/n+G2y/m Þ ()=0 D(k)=1. Þ Þò+¥f(k)dk=a/2=0,5-( ..)
..
.. . : 1) .Î[.; ..], 0 . 2) Î{ }, 0 .
|
|
.
()= D(x)=G2; Y - ()= D(x)=G2
.
0: = 1: .
a.
.
.
n. n .
S2x=(å(xi-x)2)/(n-1), S2y=(å(yi-y)2)/(n-1).
i=1 i=1
, (, G/Ön). Y , (y, G/Öm)
S2x S2y c2(-) (n-1) (m-1).
U=((n-1)S2x)/G2+((m-1)S2y)/G2 c2 n+m-2.
- (-, ÖG2/n+G2/mØ)
U = (-)-(-)
ÖG2/n+G2/mØ
N (0,1),
V = (x- y) (ax-ay).
ÖU/(m+n-2)Ø sÖ1/m+1/nØÖ[(m-1)S2x/s2+(n-1)S2y/s2]*1/(m+n-2)
(m+n-2) . .
. =(-)/Ö(1/m+1/n)*[(m-1)S2x+(n-1)S2y]/(m+n-2)Ø
(m+n-2) . .
8. l2
l2 , .
f l2 (x)= ì 1* e-x/2x(k/2)-1, x>0
í2k/2(k/2)
î0, x£0 ¥
=n-1 - . () - ()=ò tx-1e-tdt
0
C . f l2 (x) { }=n, D{ }=n2