, . ᒺ nm .
a 0, , ( ) , 0: [X] = [Y].
, , , : 0: [ ] = [ ], , . 0 , .
,
.
Z , ; Z , (Z) = 0, s(Z) = 1 0.
.
. 0: [X] = [Y], 1: [X] ¹ [Y]. , , , , a.
( ) , , a/2:
(Z < k ) = a/2, (Z < k ) = a/2.
, Z , , , , ( k = k, k = - k).
, k , (z). ³, , , Z (0, z):
(0 < Z < z) = (z). (1)
Z , (z Î [0, ¥)) = 0,5, , k [0, k) È (k, ¥),
(0 < Z < k) + (k < Z < ¥) = ½ (2)
(k) + a/2 = 1/2
(k) = (3)
. , a 0: [X] = [Y] 1: [X] ¹ [Y],
(k) = .
÷÷ < k .
÷÷ > k .
. 0: [X] = [Y], 1: [X] > [Y].
|
|
, , a:
(K > k) = a
(2) (0 < Z < k) + (Z > k) = 1/2, (k) + a = 1/2 (k) = .
2. a 0: [X] = [Y] 1: [X] > [Y],
.
K< k . > k .
. H0: [X]=M[Y]. H1: M[X]<M[Y].
, , , , :
.
3. M[X]<M[Y] K k , . K>-k . K<-k .
1. , ᒺ n=40, m=50, , . ³ : D [X]=80, D [Y]=90. 0,01 H0: M[X]=M[Y] H1: .
г.
.
H1: . . (.2, .1) k=2,58. , 1 , .