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应用eviews分析数据和预测

01预备知识

ARIMA模型预测的基本程序:1)根据时间序列的散点图、自相关函数和偏自相关

函数图以ADF单位根检验其方差、趋势及其季节性变化规律,对序列的平稳性进

行识别。一般来讲,经济运行的时间序列都不是平稳序列。2)对非平稳序列进行

平稳化处理如果数据序列是非平稳的,并存在一定的增长或卜♦降趋势,则需要

对数据进行差分处理,如果数据存在异方差,则需对数据进行技术处理,直到处

理后的数据的自相关函数值和偏相关函数值无显著地异于零。3)根据时间序列模

型的识别规则,建立相应的模型。若平稳序列的偏相关函数是截尾的,而自相关

函数是拖尾的,可断定序列适合AR模型;若平稳序列的偏相关函数是拖尾的,

而自相关函数是截尾的,则可断定序列适合MA模型;若平稳序列的偏相关函数

和自相关函数均是拖尾的,则序列适合ARMA模型。4)进行参数估计,检验足否

具有统计意义。5)进行假设检验,诊断残差序列是否为白噪声。利用已通过检验

的模型进行预测分析。

02过程与步骤

本次选取A股市场一只股票从2019年8月至2022年8月份,前后涉及

732个交易日数据的分析。L建立Workfile和对象,录入股票价格X和变

量t支出数据如图2.6.k

O'=而aI

HocUtqectMmeDefaltv^ort1,E>oiefedt*/-lEe"Be

003XIT|

006TA

17*^00001MMOOA

275000002000000

7/WW3MXXXK)

484000004MK)000

sa^AOOOO5MOOOO

6esaoooo$»ooooo

rmoioi

884000008000000

984000009WXM

10e2300001000000

1181W8U113UOOO

1282800001200000

1383400001300000

15SUOOUOU150U00U

108.1200001600000

1781300001700000

1883100001600000

iyU4bOQOU19OUOOUV

20<>

一图

2.6.12.双击打开x序列表格形式,点击表格左端View\Gragh\Line,或者在命

令框中输入“linex”。可以看出X是有一定时间趋势的,如图2.6.2。

X

28

100200300400500600700

图2.6.2可见序列x具有明显的趋势和季节波动,宜采用模型3或模型2检验。

3.点击序列x表格上菜单命令:Vie叭UnitRootTest,出现对话框(图2.6,3)

图2.6.3可从图中看一到,默认的检验方法为ADF,默认检验水平数据(原始数据,

后两者1st、2nd为1阶差分和二阶差分数据),默认的检验模式为模型2。而

右边在滞后阶数的选取上,默认采用SIC最小。4.将检验模型改为模型3,其

余采用默认设定,点OK,出来结果如图2.6.4:

Augmented(McKeyFuMerunitRootTestonX

NullH^otiesrsXhasaunitroot

ExogenousConstant

LagLengm0(AutomaticbasedonSIC.MAXL*»G=19)

t-StaksttcProb,

AugnientedDlcKey-FulleileslbtdUbVc-218293002128

Testaikcalvalues1%level-3439093

5%-286528g

10%level-2566822

,MadOnnon(1996)one-sidedHues

AugmentedDcKey+uiierlestkquanon

Depec&ntVariableD(X)

MethodLeastSquares

DaleW17/22Time1500

Sample(adiusted)2730

Includedobservations729adjstrnmU

图2.6.4从结果可以判断序列x有单位根。大家可以选择其他模式和滞后期来检

验,以形成最终的判断。检验序列X一阶差分序列的平稳性:在图2.6.3所示对

话框中选1stdiferent,检验模型为模型2,点OK,得下图2.6.5

图2.6.5从结果中可见序列X为一阶差分平稳的,故序列x为一阶单整的。

03建立ARIMA模型

趋势图:plotx或者linex一阶差分之后的趋势图,显示数据平稳

DX

先看自相关系数和偏相关系数图Identx或者宜接点开

1

□Ip.1NTIT_ED::llntitlmd\1。II-II火1

ViewProcObjectPropertiesPrintNameFreezeSampleGenrSheetGraphStatsIdent

CorrelogramofD(X)

Date:08/17/22Time:17:23

Sample:1730

Includedobservations:729

AutocorrelationPartialCorrelationACPACQ-StatProb

1111-0.034-0.0340.84940.357

1'1120.0120.0110.94990.622

-1113-0.039-0.0392.09500.553

(14-0.080-0.0836.80460.147

1)50.0640.0609.83850.080

116-0.098-0.09516.9640.009

1'1170.0170.0C417.1870.016

'I||18-0.038-0.03818.2670.019

i11]90.0650.06621.4080.011

111110-0.016-0.03221.5990.017

1]1]110.0690.08125.1780.009

1111120.006-0.00325.2050.014

1||113-0.060-0.04527.8510.009

1)1||140.0550.04030.0930.007

'111115-0.041-0.01131.3540.008

)11160.0430.02232.7040.008

1'1||170.0170.03332.9110.012

1'1||180.0310.04033.6380.014

11119-0.002-0.01233.6420.020

111120-0.031-0.02134.3790.024

1121-0.005-0.01034.3970.033

-11122-0.039-0.02835.5540.034

1'11230.012-0.00335.6610.045

■1(1124-0.028-0.01236.2680.052

111125-0.017-0.03336.5000.064

1'11260.0250.01836.9890.075

31□270.1350.14150.8970.004

(1c128-0.055-0.07553.2070.003

)1]290.0630.07056.2490.002V

可尝试AR——46927MA——4627

Isd(x)car(4)ar(6)ar(9)ar(27)ma(4)ma(6)ma(27)

DependentvmabtoD(X)

MefboaLeastSquares

Data08/-1tt22nm«:1022

Sample(aOuotedt29730

todudvdol»«NVM*anM702AN

Coiwergenc*acr««v«。atttr105neratjons

MAgcast220

VanatteCocBaerrtStdError.WMcPtob

C00131W002Ml5061931006037

D03605060092431390139900001

AW)-04703260092032-a1104&400000

ARO)00303270025430154692701226

出(27)01931420051502374W7900002

也的0724/0.09bt>*)1bWM2/00000

MS)040$n50095367429$4>500000

MAO7)•00642250045MS-1)99011oie?i

R-squared0054039Meandependentvat00127M

A4USWOR-squared00444WSO3p«nd»ntvar0701904

SEofregression0686110Akaikeirfocriterion2095772

StMn$qu*o(11*13VflftQ7QStliaualtMton7147«M

L09tekahhood•727.6150HavunQumnafltr2115830

FsUks«c560^080DurMn-WatsonsUI289591

PfOD(F-fitaM«C)0000002

分析:F统计量显示显著,说明整个模型建立通过,DW值为2.0295,不存在自

相关性了。ar(9)sma:27)不显著,可以考虑去掉,拟合优度仅0.054,很差,

人1(;值2.09(越小越好)。进一步,检验残差是否为白噪声序列,若为白噪声序

列说明信息提取充分,否则需要重新建模。

subftyremCodoyESquaredKfduelg

HiUogrant•riormafityTeU

Ubei

Sen«lCcrre<«bOHIMT«t..

MM)0*>5T3SHetwkM图困Tests.

-C0M225

RggrX0»M0399M8町00127M

Adiu^edRsquared00444908Cd€<)tndtnfver©70191M

S£of06861103KBmfoeniefion2096772

$51scuMtdrtiid3X6379entwon21476«

U)gkit»8d•26159心MQurmenter21158W

5663680DuSWMsoe俎20A591

ProttiT•,啦"U08殴2

结果如下:

□i=1as

W>wProcObjectPrintNameFreueEsbmat*StatsRodi

~~((MTHnonNnat

DU*08/18J22Tim41029

Sampl929730

lnch>d«d。8”60ns7g

Q-3c«cprobaMt^stor7ARMAtorm(€)

AtMoconeiMonParvolCorreiaaonACPACOStaiProb

14O

13

2-0015W7015M

-0000-0.018M

3<KO2)4

s•00240Ot059G9

0027

562O1«11201

j?:••:43883

66O143

70.0150.O45449

,6

00140.4595?

80O17

0014482330028

9。^0«

0008O487230087

424

1"0•00210W8460159

8霹

M5.910044

v00800l2?/

00049MQ0M1

K)4或

O87

13-0080370025

1400340.4M1w40033

3蓝

15<00020KO>0054

10O1515

0032120007

1700020.O150100

Z215993

1800130.O0137

191116123

00190.O3910174

201916黑

00200.M0214

210.O1«

<0003。O<l00273

22O5臼16s

Q(M71B0247

2M309.M37

00460226

4O19等

•OSH)»8700?S3

K4)M^”

■03。2Mu

"0O3/

0006K)0350

9^£

00192121038

28V9要

29-004869<«220360

0.O24

300047-<>.ON60331

。24

31-0028>M3

gO425绘0355

•0031OQ270374

335Z<

乂-00510330

-<>O塔2fl

。4

0035O73144m30337

355a

%0063O篇02S6

0.17

0062O00222

-00.33

00090250

信息的提取并不充分,需要重新建模分析。

Isd(x)ca«4)ar(6)ar(27)ma(4)ma(6)

O|回

ViewProcObjectPrintNa'neFreezeEstimateForecastStatsResids

DependentVariable:D(X)

Method:LeastSquares

Date:08/18/22Time:11:07

Sample(adjusted):29733

Includedobservations:702afteradjustments

Convergenceachievedafter67iterations

MABackcast:2328

VariableCoefficientStd.Errort-StatisticProb.

C0.0130320.0246810.5280010.5977

AR(4)0.3157320.1077802.9294030.0035

AR(6)-0.4538910.109427-4.1478690.0000

AR(27)0.1362560.0321154.2427520.0000

MA(4)-0.4339290.109943-3.9468570.0001

MA(6)0.3885810.1102973.5230460.0005

R-squared0.049563Meandependentvar0.012764

AdjustedR-squared0.042735S.D.dependentvar0.701904

S.E.ofregression0.686742Akaikeinfocriterion2.094795

Sumsquaredresid328.2439Schwarzcriterion2.133717

Loglikelihood-729.2729Hannan-Quinncriter.2.109838

F-statistic7.258956Durbin-Watsonstat2.032869

Prob(F-statistic)0.000001

InvertedARRoots.92.90+.23i90-.23i85+.42i

3S-42i72-57i72+R7i54-72i

ODI回

ViewProcObjectPrintNa-neFreezeEstimateForecastStatsResids

CorrelogramofResiduals

Date:08/18/22Time:11:08

Sample:29730

Includedobservations:702

Q-statisticprobabilitiesadjustedfor5ARMAterm(s)

AutocorrelationPa巾alCorrelationACPACQ-StatProb

'I1111-0.017-0.0170.1943

12-0.004-0.0040.2033

1•I13-0.026-0.0260.6790

I11140.0210.0200.9962

I150.0730.0734.7266

I1116-0.014-0.0124.86210.027

I11170.0140.0155.00100.082

I11180.0060.0105.02580.170

I)190.0500.0476.83030.145

I11110-0.020-0.0227.11000.213

I]1]110.0780.08011.4310.076

111112-0.004-0.00111.4400.121

[1[113-0.066-0.07014.5360.069

1)11140.0440.04115.9380.068

111115-0.025-0.02316.3710.090

1111160.0280.01116.9500.109

1111170.0080.01616.9980.150

1111180.0240.02817.4250.181

♦—A———C-A•——A—•v

依然较差。变换模型Isd(x)car(4)ar(6)ar(9)ar(ll)ar(27)ar(28)ar(29)

ma(4)ma(6)ma(ll)ma(27)

DependentVariable:D(X)

Method:LeastSquares

Date:08/18/22Time:11:21

Sample(adjusted):31730

Includedobservations:700afteradjustments

Convergenceachievedafter56iterations

MABackcast:430

VariableCoefficientStd.Errort-StalisticProb.

C0.0139470.0281940.4946740.6210

AR⑷0.4217270.0689616.11MOO0.0000

AR(6)-0.4412600.067856-6.5029070.0000

AR(9)0.0664130.0251552.64C1610.0085

AR(11)-0.1421360.058996-2.40S2570.0162

AR(27)0.3688030.0565716.51S3230.0000

AR(28)-0.0175390.022034-0.79E0160.4263

AR(29)0.0487280.0264431.8427230.0658

MA(4)-0.5493000.070791-7.75S5070.0000

MA(6)0.3691470.0692255.3325450.0000

MA(11)0.1843200.0585073.15C4100.0017

MA(27)-0.2532790.058224-4.35C0660.0000

R-squared0.069196Meandependentvar0.013129

AdjustedR-squared0.054314S.D.dependentvar0.702804

S.E.ofregression0.683452Akaikeinfocriterion2.093673

Sumsquaredresid321.3693Schwarzcriterion2.171692

Loglikelihood-720.7857Hannan-Quinncriter.2.123832

F-statistic4.649626Durbin-Watsonstat2.025204

Prob(F-statistic)0.000001

1-~ACC/人3Ancnc«cc;nccc;

经过反复尝试,建立以下模型:lsd(x)car(4)ar(5)ar(6)ar(9)ar(11)ar(27)ar(28)

ar(29)ar(32)ma(4)ma(5)ma(6)ma(9)ma(11)ma(14)ma(27)ma(33)ma(34)

oTITLEDWorkfile:时间序列分析及预测案例…。II回次

ViewProcObjectPrintNameFreezeEstimateForecastStatsResids

A

DependentVariable:DQ()

Method:LeastSquares1

Date:08/18/22Time:13:08

Sample(adjusted):34733

Includedobservations:700afteradjustments

Convergenceachievedafter10iterations

MABackcast:033

VariableCoefficientStd.Errort-StatisticProb.

C0.0136300.0271680.5016690.6161

AR(4)-0.0281470.069105-0.4073030.6839

AR(5)-0.0767390.079579-0.9643170.3352

AR(6)-0.1866710.082358-2.2665930.0237

AR(9)0.4739810.0685366958430.0000

AR(11)-0.1269610.085173-1.4906170.1365

AR(27)-0.1962130.074157-2.6459300.0083

AR(28)-0.0386930.033844-1.1432640.2533

AR(29)0.0592430.0358571.6521750.0990

AR(32)-0.0271110.039327-0.6893610.4908

MA(4)-0.0791830.062794-1.2610050.2077

MA(5)0.1542530.0758712.0331010.0424

MA(6)0.1145170.0814001.4068440.1599

MA(9)-0.4659210.064482-7.2255600.0000

MA(11)0.2137020.0759392.8M1400.0050

MA(14)0.0405010.0343481.1791620.2387

MA(27)0.3426760.0694224.9361040.0000

MA(33)-0.1505720.042064-3.5795860.0004

MA(34)0.0638140.0315302.0238850.0434

R-squared0.109122Meandependentvar0.014214

AdjustedR-squared0.085575S.D.dependentvar0.702887

S.E.ofregression0.672140Akaikeinfocriterion2.070067

Sumsquaredresid307.6566Schwarzcriterion2.193596

Loglikelihood-705.5233Hannan-Quinnenter,2.117818

F-statistic4.634158Durbin-Watsonstat2.003860

Prob(F-statistic)0.000000

V

OEquation:UNTITLEDWorkfile:时间户防吩析例1::Unti.ill回I由^

ViewProcObjectPrintNai)eFreezeEstimateForecastStatsResids

CorrelogramofResiduals

Date:08/18/22Time:13:09A

Sample:34733

Includedobservations:700

Q-statisticprobabilitiesadjustedfor18ARMAterm(s)

AutocorrelationPartialCorrelationACPACQ-StatProb

I1111-0.002-0.0020.0027

11112-0.007-0.0070.0381

11113-0.019-0.0190.2875

111140.0120.0120.3913

11115-0.002-0.0020.3930

111160.0040.0030.4026

111170.0050.0060.4234

11118-0.031-0.0311.0957

11119-0.008-0.0081.1408

111110-0.000-0.0011.1408

1111110.0110.0101.2297

1111120.0080.0081.2706

1111113-0.025-0.0251.7204

1111140.0050.0051.7366

111115-0.003-0.0031.7418

1II1||160.0310.0292.4314

111117-0.000-0.0002.4315

1111180.0100.0092.4987

1111190.0100.0122.56450.109

(11120-0.054-0.0544.68440.096

111121-0.001-0.0024.68540.196

111122-0.012-0.0134.78390.310

1111230.0110.0094.87780.431

111124-0.035-0.0325.76880.450

111125-0.000-0.0005.76890.567

1111260.0030.0035.77500.672

1111270.0100.0095.84410.755

111128-0.005-0.0085.86290.827

1111290.0010.0025.86370.882

111130-0.027

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