6
F(x), , , , ..
.
:
1. [0; 1]
.
2. , .. .
3. , , (a; b), .
4. , , 1,
.
5. (a; b), .
6. :
.
( ) :
.
, , (a; b)
.
,
.
:
1. , ..
.
2. -∞ +∞ :
.
, (a; b),
.
, ,
,
f(x) . , .
, (a; b),
.
0() , .
() ,
.
, f(x) , .
,
.
, :
.
k
.
k
.
, k = 1, ν1 = (), μ1 = 0, k = 2, μ2 = D(X). :
.
, (a; b), ,
|
|
,
f(x) = 0 .
,
,
μ , σ .
, , (α; β),
,
- .
, δ,
.
, μ = 0
.
:
μ = M(X).
() ,
λ .
(a; b) , ,
.
, :
, [0; 1]. (0.5; 1.5).
.
6.
, , μ, σ. λ. (α; β).
μ | σ | λ | α | β | |
1.5 | 0.8 | 0.5 | |||
0.6 | 0.9 | 0.8 | |||
0.5 | 1.1 | 0.7 | 0.6 | 1.2 | |
0.5 | 0.8 | 0.6 | 0.3 | 0.4 | |
0.4 | 0.5 | 2.1 | |||
0.3 | 1.1 | 0.4 | 1.1 | ||
0.2 | 1.2 | 0.3 | 1.5 | 2.8 | |
0.1 | 1.3 | 0.2 | 1.6 | ||
0.1 | 1.3 | 2.3 | |||
-0.2 | 1.1 | 0.3 | -0.1 | 0.4 | |
-0.3 | 1.2 | 0.4 | -0.2 | 0.5 | |
-0.4 | 1.3 | 0.5 | -0.1 | 0.6 | |
-0.5 | 1.4 | 0.6 | 0.7 | ||
-0.6 | 1.3 | 0.7 | 0.1 | 0.4 | |
-0.7 | 1.5 | 0.8 | 0.3 | 0.9 | |
-0.8 | 1.6 | 0.9 | 0.6 | 1.1 | |
-0.9 | 1.7 | 0.7 | 1.3 | ||
-1 | 1.8 | 1.1 | 0.4 | 0.9 | |
-1.1 | 1.9 | 1.2 | 0.5 | 1.2 | |
1.8 | 0.4 | 2.5 | |||
0.9 | 1.7 | 0.5 | 1.8 | ||
0.8 | 1.6 | 0.6 | 1.5 | 2.6 | |
0.7 | 1.5 | 0.7 | 1.1 | 2.3 | |
0.6 | 1.4 | 0.8 | 1.3 | 2.7 | |
0.5 | 1.3 | 0.9 | 0.8 | 1.4 | |
0.4 | 1.2 | 0.6 | 1.3 | ||
0.3 | 1.1 | 1.1 | 0.5 | 0.9 | |
0.2 | 1.2 | 0.4 | 0.8 | ||
0.1 | 0.9 | 1.3 | 0.3 | 0.7 |