.


:




:

































 

 

 

 


8 -

 

( O) , :

1) ;

2) Seasonal decomposition 1;

3) X11/Y2k (Census 2) monthly

 

 

(. ):

3.3 62-75
3.4 32-53

 

. , , , .

, . ..

, . , , , .. , , .

. , :

- ;

- ;

- ;

- ;

:

- X-12-ARIMA X-11 . , : , , , , .

- ES (Extract Seasons) .. . .

- TRAMO/SEATS. ARIMA , Maravall Gomez Burman (1980).

- BV4 - . . . : -, , , .

( 8.1).

 

8.1

 

STATISTICA 6.0 .

-, Seasonal decomposition 1 ( 1).

-, X11 Seasonal decomposition (X11 ).

-, Multiple Regression ( ) ( 9).

-, ( 6 7).

 

8.3. Seasonal decomposition 1

 

Seasonal decomposition 1 ( ) (. .) I 1993. VI 2005. ( ).

, Graphs 2D Graphs Line Plots (Variables) .

 

8.2 , . .

 

. , , 1998 , 1999 . . I . 1999. VI . 2005.

1. StatisticsAdvanced Linear/Nonlinear Models Time series/Frication.

2. Time Series Analysis Seasonal decomposition 1 (Census 1), Rations-To-Moving Averages Classical Seasonal Decomposition (Census Method) ( ).

 

 

8.3 ( )

 

Advanced (), ( 8.4):

 

 

8.4

 

Seasonal model ( ) Additive () Multiplicative ( ) .

Seasonal lag ( ) (12 4 ).

Centered moving averages (for even Seasonal lag only) ( ( ))

On OK append components to active work area .

Moving averages

Ratios/Differences /

Seasonal factor

Seasonally adj. series

Smoothed trend cycle -

Irregular component

Other transformations & plots ( ) , , , , ..

3. (Multiplicative) .

Y []:

Y(t) = S(t)×TC(t)×l(t), t = 0,1,2...

:

Y Y - YI Y/Y1 - ES ( Y/Y1) : Y/ES - ETC ( Y/ES) : I = (Y/ES)/ETC.

, .

Seasonal lag 4, Seasonal factor, Smoothed trend cycle Summary: Seasonal decomposition ( ).

STATISTICA 6.0 ( 8.5).

 

 

8.5 ( )

 

: Y ; Moving averages ( ); Ratios; Seasonal factor ( ); Adjusted Series; Smoothed trend cycle ( - ); Irregular component ( ).

4. ( 8.4) Save variables ( ), :

 

8.6 ( )

 

: Y , Y_2 , Y_1 - .

5. , Graphs 2D Graphs Line Plots (Variables) , Y_2 .

6. , ( 8.7) Plot properties

 

 

8.7

7. Plot Layout Assignment of axis Right () () OY.

 

8.8

 

:

 

 

8.9

8.9, .

 

8.4. X11/Y2k (Census 2) monthly

1. , , Time Series Analysis ( 8.3) X11/Y2k (Census 2) monthly ( ) quarterly ( ).

 

 

8.10 ( )

 

.

(Seasonal adjustment), (Additive) (Multiplicative), .

Dates (start of series) ( ) , 1 1993 .

X-11, , (Printout tables (detail)): Standard (17 to 27) ( (17 - 27 )), Long (27 to 39) ( (27 - 39 )), Full (44 to 59) ( (44 - 59 )), Selected tables ( ).

, Charts (): None (), Standard ( ), All (), Selected ().

2. (, ) , ( 8.11).

 

 

8.11

 

, A - G. [. ]

A. ( ). , , , - , , . , ; ( ), ( ). () . , .

B. ( X-11) . ( X-11) , .

C. ( X-11). , B, - . ( X-11) .

D. , -, . , C, .

E. : , . , . , .

F. () (, ), . , , ( ), .

G. . . , .

1) :

  1 2 3 4
? 1,20 0,95 0,79

) 1,09

) 1,06

) 1,25

2) , :

)

)

3) , , :

)

)

)

4) X12 :

)

)

)

5) :

)

)

)

6) :

)

)

)

7) ?

)

)

)



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