, t N. 0 t =0 ( ) 1 t=tm, .. N . t,
.
: .
={, <t}.
t: Q(t)={<t} (. 2.19).
t=0 : < 0 ( ) Q(0)=0.
: < ¥ - , (" "!), : Q(+¥)=1.
t, (. 2.19)
. 2.19
- , . 2.19. , Q(t) , - . Q(t) .
Q(t) . , , ( ) , :
;
N0 N t0 ();
( ).
N, N(t), N-N(t), tm t .
1 t=0 ( !) t=+¥ ( ). , , , , 1 0.
N¥ P(t)
={, >t}={>t}.
= {>t} 1 t=0 0 t=¥. ( 2.20). . - ( . 2.20):
. 2.20
: . .
|
|
. 2.20
f(t)
P(t), Q(t),
. f(t) [0, +¥] . ,
P(t) Q(t), . f(t),
,
f(t) . 2.21 .
. 2.21 (-)
,
t , . N¥ f(t). , f(t) .
t , . (. 2.21).
-.
- N :
N¥ .
, t, ; t=0 , N(0)=N.
l(t) f(t) (. . 2.21): , , .
, , : N(t)0 .
l(t) . t () , l(t) : , .
. l(t) P(t):
, . :
.
. 1.
P(t)=1-Q(t) | f(t)= | λ(t)= | |
Q(t)=1-P(t) | f(t)= - | λ(t)= | |
Q(t)= | P(t)= | λ(t)= | |
Q(t)= | P(t)= |
1