//n/m<, , , .
, .. ( ), , , . , (t) .
, . (t), , . , .
7.3.1. τ
, .. . (t) . . , , , . , .
, - , , , .
, :
F(t) = 1 - e - ,
f(t) = e - ,
- .
(t) :
= const
= k , <n,
= n + (k - n) , >n.
, 7.2.1, , .
7.3.2. τ
7.1. , , . , , , . , , , , , , , . (t), , , X , n :
|
|
X = { X (t), X (t),. X (t)} = { X (t)}
X (t) , j- . , t, : j- j(t), . , , X , .. . .
( 7.3 )
- n- X (t) , . ( ) , .. .
- , , , , .
( 7.4 )
, , f (t; x x ) , , 1 ., . .
X(t), : t+ t () t (). , - , .
( ) , ,
( 7.5 )
, t , t, n.
t 0, :
( 7.6 )
, 0<k<n. :
( 7.6 )
:
t , , t ( );
: t -1 , i ( ) , : , x , (n-) i-, 1 .
, t ( + 1) , ( (+1)) . (n ).
, :
( 7.7 )
, , :
<n , , , , X (t), , , . X (t). . (, sign x =1, x>0, sign x= - 1, x<0).
<n, , , .. .
|
|
, , , , , X (t) = Z < x ; , t+ , (x - z), i- , z (z < min x ) .. , ; n .
:
, ( 7.8 )
, , , :
k >n:
( 7.9 )
:
( 7.10 )
, , t , , . , , : f = f f = f .
, .. f f , . , , , , . , .
0 . , f , () , x , x , , - x . , . :
( 7.11 )
- , k
P - , k
( 7.12 )
.. ( ), , , //n , , , P . , . :
( 7.13 )
>n. - . :
????????????
P0. , , :
= + = 1, ( 7.14 )
- ,
( 7.15 )
n- :
( 7.16 )
, .
:
( 7.17 )
:
( 7.18 )
:
( 7.19 )