3 . , () ().
(t) , , t , , , , . . .
, . .
S(t) , t, . . .
,
, S(0)=0, S()=1.
S(t) :
S(t)= (4.1)
N (0) , t = 0; N , t, . . (0,t).
( ) G(t) , t.
G(t):
G(t)= (4.2)
(4.1) (4.2) ,
S(t)+G(t)=1 (4.3)
. 4.1 S(t) G(t) .
. 4.1.
a (t)
(4.3)
(t) :
, (4.4)
t t +
(t) t , t .
:
. (4.5)
:
. (4.6)
(4.4) (4.6) , , , ( ) , , - . , , . , : . .
, .. , ( (3.10) (3.11)) :
|
|
S(t)=1-exp(- t), (4.7)
G(t)=exp(- t) (4.8)
T :
T = G(t)dt (4.9)
T
, (4.10)
i- ().
i- , .
, = const, (3.16)
(4.11)
.. () , . = const, T = const
. 4.1 , , ,
4.1
P(t) | G(t) | ||
Q(t) | S(t) | ||
a(t) | a (t) | ||
(t) | (t) | ||
T | T |
, , .
K , .
, :
(4.12)
t i- , t i- i- , n .
(4.12) n, , :
(4.13)
, .
, , .
, ( , ) .
, .
:
(4.14)
:
(4.15)
,
(4.16)
:
(4.17)
, - :
|
|
(4.18)
, .. - ().
, t (t,t+ ):
(4.19)
(4.20)
, t , N(0) t = 0.
, .. - .