Vấn đề lựa chọn các tham số cho mô hình Holt-Winter trong việc dự báo kinh tế.pdf
Trang 1.Tiu CHiNH
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ThS Va Th! Minh Ln~n *
D 1/ bao la m9t nhi$m vy het suc quan trc;>ng
trang vi$c ho,?ch d!nh chinh sach kinhte,
trang cac hO'?td9ng kinh te - xa h9i C6 dl/
bao't6t 58 c6 can cu t6t cho vi$c v,?ch ra ke ho,?ch
san xuat ho~c ho,?ch d!nh chien IU9c kinh doanh 01/
bao c6 the dU9c tien hanh 0 hau het caclinh vl/c kinh
te - xah9i 0 tam vi me nhu dl/ bao t6c d9 tang truong
kinh te, I,?mphat, that nghi$p, cac van d€ha h9i nhu
tang truong dan 56, den cac van de 0 tam vi me nhu
dl/ bao doanh 56 ban, gia ca san phgm ho~c th! phan
cua cac hang trong tuong lai
01/ bao c6 the sLtdyng cac me hlnh kinh te IU9ng
g{Jpho~c kheng g9.P, me hinh chuoi thdi gian, phuong
phap th6ng ke Moi m9t phuong phap c6 nhling
diemyeu va m'?nhriengcua n6 Sai viet nay kheng
-c6 tham v9ng ban ve cac phuong phap dl/ bao ma chI
trinh bay m9t kinh nghi$m nho trong vi$c II/a ch9n cac
tham 56 trong vi$c SLtdyng me hlnh Holt-Winter c9ng
tfnh va nhan tfnh de dl/ bao.
Me)hinh Holt-Winter cQng tinh va nhan tinh
- M6 hinh Holt-Winter nhan tfnh (3 tham s6)
Phuong phap lam thich h9P d6iv(jj chuoi thdi gian
c6 khuynh hu(jng tuyen tfnh va bien thien mua nhan
tfnh.Chuoi dU9c lam tron dU9Ccho nhu sau:
yt+k =(a+bk)ct+1
Trang aD
a- thanh phan tham 56 (h$ 56 ch~n),
b- khuynh hupng,
c- thLta 56 mua nhan tlnh
Cac h$ 56 naydU9C xac d!nh bang phudng trinh
truy toan sau:
a(t} = a(Yt/(ct)(t- 5)) + (1 - a) (a (t-1) + b (t-1)),
b(t) = ~ (a (t)-a (t-1)) + (1-~) b (t-1),
c(t) = Y (Yt/ a (t)) + (1 - y) ct (t - 5),
Trong d6, 0< a,~, y <1 la cac thLta 56 tih dan con 5
la tan 56 mua
01/ doan dU9c xac d!nh bang phuong trinh sau:
yt+k = (a (T) + b (T) k) CT-k-s
Trong d6, thLta 56 mua dU9C SLtdyng 5u(jc IU9ng
cu6i
HeNQi
- M6 hinh Holt-Winter c{)ng tfnh (3 tham s6)
Phudng phap lam thfch h9P d6i v(jichuoi thdi gian c6 khuynh hu(jng tuyen tfnh va bien thien mua c9ng
tfnh Chuoi dU9clam tron dU9c cho nhu sau:
yt+k = a + bk + Ct+1"
Trong d6 a,b, c la cac tham 56 da dU9c dinh nghia
0 tren.
Cac h$ 56 nay dU9C xac d!nh bang phudng trlnh truy toan sau:
a(t) = a (Yt - ct) (t - 5) + (1 - a) (a (t - 1) + b (t - 1)) b(t) = ~ (a (t) - a (t~1)) + 1 - ~ b (t - 1)
c(t) = Y (Yt- a (t)) + Yct (t - 5) Trong d6, 0< a,~, Y <1 la cac thLta 56 tat dan, con
5 la tan 56 mua 01/ doan dU9c xac dinh bang phuong trlnh sau:
yt+k = (a(T)+b(T)k +CT-k-s
Trang d6, thLta56 mua dU9CSlt dyng 5 u(jc IU9ng
cu6i
DI! baa cho xuat kh~u gQP
Ol/a VaGchuoi gia tri xuat khgu 99P thu th$p dU9c, chung tei tien hanh dl/ bao bang hai me hinh tren, trong d6 3 tham 56 cho dl/ bao dU9cthay doi theo cac b9 ba sau:
(a,~,y) = (0,1; 0,5;0,1); (a,~,y) = (0,1; 0,4; 0,1); (a,~,y) = (0,1; 0,4;0,2); (a,~,y) = (0,2; 0,5;0,2) .
Ket qua cho a bang sau:
- Me hlnh Holt-Winter c9ng tfnh v(ji (a,~,y) = (0,1; 0,5;0,1)
2002:2 2002:3
2002:4
S6 li$u thl!c
62654 69388 74826
2.8260625 -5.0330601 -10.663449
s6 li$u dl! bao 64424.859 65895.458 66847.128
% sai s6
80000
60000
40000
20000
67
T,wem NcANMNG-~ 6 NAM 2004
Trang 2TAl cHiNH
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- Me hinh Holt-Winter nhan tfnh vdi cung gia tri
cua (a,~,y) = (0,1;0,5;0,1)
60000
40000
20000
0
92 93 94 95 96 97 98 99 06 01
1- EXPOR m EXPORSMI
02
- Me hinh Holt-Winter c9ng tfnh vdi giam ~ tU'
0,5 xuong 0,4 nghTa la: (a,~, y) = (0,1; 0,4;0,1) ta
dLt9c:
60000
40000
20000
0
- Me hinh Holt- Winter nhan tfnh vdi giam ~ ta
0,5 xuong 0,4 nghTa la
(a,~, y) = (0,1; 0,4;0,1)ta dLt9c:
60000
40000
20000
68
% sai s6 4.5374397 -2.8893722
-5.8997708
0
9'2 9'3 94 9'5 96 '9'7 '9'8''g'g''0'0"01 02
I ~ EXPOR E=:J EXPORSMI
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T,w CIff NGANIIANG- ro6 NAN 2004
s6 Ii$u thl,fc s6 li$u dl,fbao % sais6
2002:2 62654 65082.071 3.8750151
2002:3 69388 66732.863 -3.8262121
2002:4 74826 69442.655 -7.1947079
80000
s6 li$u thl,fc S6 li$u dl,f bao % sai s6
2002:2 62654 64609.195 3.1202742
2002:3 69388 66491.255 -4.1744119
2002:4 74826 68185.845 -8.8743461
80000
S6 li$u thl,fc S6 li$u dl,f bao
2002:3 69388 67382.916
2002:4 74826 70411.606
80000