Y = β (4) . , Y : X t: Y = βt.
Y = 0 1, (5)
0 1 - , . :
Y X ( (1 < 0) X ( 1 > 0); X Y (1) ;
Y X ( ), 0 < 1 < 1.
(5) X ( Y X, Y X, X: 
), , .
: 1 Y =1 0 + 1 ln X. (6)
ϳ l 0 = β, 1 = β (6) 1 Y = β + β ln X. (7)
( , ): 1 Y = β0 + β ln + u. (8)
1 1 Y, β0 β. Y* = 1 Y * = 1, (8) : Y* = β + β1 * + u. (9)
(9) , (IIͻ) β β1. Y , , :
| / | Y | Y- 
| ( Y- )2
| 
| 
|  
| |
| Σ | → 0 |
R2 = 1 - 
= 
, D = 
, 
= 
.
β1 , , Y X. . ij, (7) X, :
, 
. ,
1 Y = β0 + β1 lnX1 + β 2 lnX2 + u. (10)
β 1, β2 Y X1 2 .
Ln Y = β + β + u, (11), Y = β + β ln + u (12)
.
-
(11) Y* = 1Y. β y (11) Y X, Y X. ij, (11) X, : 
, 
|
|
|
β 100, Y ( Y). (11) : , , ' () , , ' .
. , a : Yt = Y0 (1 + r) t, (13)
Y - Y (, );
r - Y ( );
Yt - Y a t ( o y a t).
(13), : 1 Yt = 1 Y0 + t 1(1 + r).
: 1 Y 0 = β0 , 1(1 + r) = β. (13) :
1 Yt = β0 + β t + u t. (14)
(14) u t ( ). , β = 1(1 + r) r Y:
1 + r = eβ, r = 1 - eβ.
β , r () Y.
