. :
1) X;
2) : Xmin (1 p) Xmax p L (Xmax; p; Xmin).
(p) 0 1, , , X L (Xmax; p; Xmin) . . 0, 1 ( 100): U(Xmin) = 0; U (Xmax) = 100.
, . p, , : U (Xj) = p U (Xmax) + (1 p) U (Xmin) = 100. X : Xmax Xmin , X Xmax, Xmin X.
X p : X L (Xmax; p; Xmin), Xmax Xmin , X.
, , : . , 100, 100- , 10, 10-.
L () X1, X2, , Xn P1, P2, , Pn U(X1), U(X2), , U(Xn).
, :
(4.1) |
, :
(4.2) |
.
. , , ,
U () = M (U(X)) | (4.3) |
, , , , .
, . ³ :
U (M(X)) > M(U(X)), | (4.4) |
.
(π ()) :
π () = M(X) | (4.5) |
( ) X, ᒺ , , , .
|
|
, , , , , , , ( X) ( ).
() :
() = | (4.6) |
:
U(M(X)) < M(U(X)), | (4.7) |
. . , , .
:
U(M(X)) = M(U(X)) | (4.8) |
.