3, () ( 3.2) , ( 3.4, ). , .
Ρ (ε) = Ρ (| - | < ε). (7.15)
, , , σ , . , m:
m = ( - ) / σm, (7.15)
(7.16)
, m , 1908 . . ( ) [4, 30]:
(7.17)
(n /2) - -.
σ , t n. (7.15 ).
ta m (- ta, ta)
(7.18)
(7.18) m (7.15 ),
(7.19)
ε = ta × σm, ta - (ε) r = n - 1.
7.8 ta .
[4]:
1. (ε). (ε) : (ε) = 0,8; 0,9; 0,95; 0,99.
2. σm (7.7) D [ ] (7.16).
3. r = n 1.
4. r (ε) 7.8 ta.
5. ta σm, ε = ta × σm - .
6. Iε = ε.
7.1.
, , :
t 1 | t 2 | t 3 | t 4 | t 5 | t 6 | t 7 | t 8 | t 9 | t 10 |
1, σ Iε 1 (ε) = 0,9.
.
1. (3.22) 1
. (3.22)
2. σ σm (7.7) D [ ] (7.16) σm:
|
|
;
.
3. :
- 7.8 r = n 1 = 10 1 = 9 (ε) = 0,9 ta = 1,83;
- ε = ta × σm = 14,8 × 1,83 = 27 ;
- 1 1
1 = 130 27 = 103 ; 1 = 130 + 27 = 157 ;
- Iε = (103 ÷ 157) .
7.8 - ta - (ε) r = n 1 [1, 4, 30]
n | (ε) | |||||
0,80 | 0,90 | 0,95 | 0,99 | 0,995 | 0,999 | |
3,080 | 6,31 | 12,71 | 63,70 | 127,30 | 637,20 | |
1,886 | 2,92 | 4,30 | 9,92 | 14,10 | 31,60 | |
1,638 | 2,35 | 3,188 | 5,84 | 7,50 | 12,94 | |
1,533 | 2,13 | 2,77 | 4,60 | 5,60 | 8,61 | |
1,476 | 2,02 | 2,57 | 4,03 | 4,77 | 6,86 | |
1,440 | 1,94 | 2,45 | 3,71 | 4,32 | 9,96 | |
1,415 | 1,90 | 2,36 | 3,50 | 4,03 | 5,40 | |
1,397 | 1,86 | 2,31 | 3,36 | 3,83 | 5,04 | |
1,383 | 1,83 | 2,26 | 3,25 | 3,69 | 4,78 | |
1,363 | 1,80 | 2,20 | 3,11 | 3,50 | 4,49 | |
1,350 | 1,77 | 2,16 | 3,01 | 3,37 | 4,22 | |
1,341 | 1,75 | 2,13 | 2,95 | 3,29 | 4,07 | |
1,333 | 1,74 | 2,11 | 2,90 | 3,22 | 3,96 | |
1,328 | 1,73 | 2,09 | 2,86 | 3,17 _ | 3,88 | |
1,316 | 1,70 | 2,04 | 2,75 | 3,20 | 3,65 | |
1,306 | 1,68 | 2,02 | 2,70 | 3,12 | 3,55 | |
1,298 | 1,68 | 2,01 | 2,68 | 3,09 | 3,50 | |
1,290 | 1,67 | 2,00 | 2,66 | 3,06 | 3,46 | |
∞ | 1,282 | 1,64 | 1,96 | 2,58 | 2,81 | 3,29 |
, , τ, . 3.4,
σ = × στ, (7.20)
- ; σ - , τ ; στ τ .
|
|
n . ε (t) = 2 (t), σ n, [1]
n ≥ { t [ (t)] / ε }2 σ 2. (7.21)
(7.21) t = t [ (t)] (t) = 2 (t) t = ε / σ) ο 7.6, ε - .
Iε = T 1 ε = T 1 ε / . (7.22)
σ , n , (7.21) 7.6, (t), ε t = ε / σ , σ - , (7.7). (7.21) σ σ .