Kinh tế lượng - Tổng quan kinh tế lượng
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- TRệễỉNG ẹAẽI HOẽC TOÂN ẹệÙC THAẫNG KHOA QUAÛN TRề KINH DOANH # " MOÂN HOẽC KINH TEÁ LệễẽNG GIAÛNG VIEÂN: ThS. PHAẽM THề PHệễNG LOAN ế
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- d ef EFGHIH JKLH H MKH HFK HGHKL NHIH OKH H H !"H KH H FHP TU#$ QRFH H SFH H FH H HKH g
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- d ef e? %m )m i) kk klm k j* i4 d ef kl" ij . k ] k 1 /1j . k) KH 1 2 #k 4 +, % H E 1m k/1 Akj) FH 12 #k 4 P >' =β +β
- d ef (ZHKLHLF H^\H^KLH_K H H FGKH H HZFHLF H^\HIHFGH HFGKHIHM ] KH @A; 2 +E12k 0! H ij . k FH P DAp;p1< k1 j . k d ef RH FHPHKLH H]H ] FKH L^ FKHKFK H H FHPHIHPH WKLH WH ^XKHGHOH OH HKLH H !"HH SKL F HHF H
- d ef RH FHFHKLH H HFGHLF H^\H ^KLH_K H HFGKHHH PHIFH K H GHKH FHFGKHHK MKH HLF H ^\H HK R RFHPHIJKH FHPH H FHFGK HKGH]HH FH HFGKHIHM PH K LH RFHPHFH FHPH H K FHFGK HKGH]HH ] FHFGKHIHMH^HXK d ef &SKLH H F HHF HHH I\K NF H _K ] &SKLHKLH FHHF HH$FH K FXK HHHNFHH$F / 4'p1< k +,AEmi p; 'p;!B lk1j . k ' 8 )g' B") iB" $!%
- d ef HH "K+H H HFGHLF H^\H^KLH _K H H FGKH H HWH +HKLHIH L HHHHK FXH FH FGKH IH MHH K MKHLF H^\H H FGHLF H ^\H ^KLH _K H HHH PHIFH KL+HLFO HHK FXH IJKH\H FHLF H^\H HH HHL+HIH N KLH XKH HIJKH\H ZFH IFH FKH HPGH H H KLHIF d ef FH \H HOK H KLH H HPGHH $ F IFHZFHFGKH H HH KLHIH IHHH _K nD$ k -' 5 klm *1 kk%"2 A1j . k 9k1 km * @kB"ik %" * @A0k2%"+5* < +<5 * < j lk j nB"Apm jB"i :B12 #k * < $!%m *j j g
- d ef NHRH FHPHH#H# H L^ FKHKFK Dk)m *kAEmim 2B @0%6o%-D 5 $!% ,kp;p1< k 1j . kB"i h d ef &SKLH H =β +β I\K H _K # &SKLHKLH = + = β + β + K FXK ',kA@k/ 4 β β ',kA@k)g 7 ' ,k A@k +5 Ak 5 &j -/p7B-B4
- d ef 5 $!%%# Ak @5 $!% %# A"+, B" >#-.kk 5 $ >#-.kk 5m * !%%# j 2 $!%%# ⎛ ⎞ ⎛ ⎞ = β + β ⎜ ⎟ + = ⎜ ⎟ + β + ⎜ ⎟ ⎜ β ⎟ ⎝ ⎠ ⎝ ⎠ = β + β + = β + β + d ef i "m'l+, !p;k1Akj k @k Ep;m k i " k1j . k m+5! i 5B"'kk1 i 5B" m *j 25 ) l+,!p;k1 Akjk "-% 0 p;k1j . k
- d ef RH FHPHHKH HK KHO i o!2' :/1Akj41 /1j . k4 / o4 /!24 o#k $!%m * 0 1 5 ! i o!2 $ d ef o#k !'A m% RFHPHH # & 1+5 JKLH 1k+p'A" 6l K o#k $!%',k k-D1 p;p1< k1 j . k-Dp p;6kA; k1 Akj9 %
- d ef #HFH $HKL FHFGKH K H $HKL FH LKH H HK *KLHIFHFKH MH" K HI\K H i #HFH WHG d ef #HFH %FH &FHLFK ] KH SFH #HFH ' "i #HFH %KH #FHH^KLH H^_K H " HKLH H MHHF "i ] JKLH HIFH^H j . (KH k )HIHKLH HHOH g8 MH HHF
- - ./01- I- JKL- - KL K JKL K K I KL KL ./0 K 1234 !"" #I$K K %KLL& ' ( )* +KL , K I"-
- !"#$ ! % +,-. !"#$%&$%' &( )"*"' &'()*+)*,-.,) "#$ '*&'()./*,-.,)./ 01 =β +β "#$ = + =β +β + 2
- +,-. 3!4 β 567"8 9"!β - β 567"8 9"!β 567"8 9"!&'() :; +,-. β β β β ?@-5?ABCDEF$!GDEF$ 01HG01
- +//0/123 IB:"4"J EFKB)>'@3L BK!"!LM'>N"O*P'PLP "G"GC@ ?K$>H7"J EFKB>FC ∑ =∑() −β −β ⇒ = = Q +//0/123 RG!G>BK!"!+β β STFA" "8G5 ⎛ ⎞ ∂⎜ ⎟ ∑ ⎝ = ⎠ = − ∑() −β −β = ∂β = ⎛ ⎞ ∂⎜ ⎟ ∑ ⎝ = ⎠ = − ()−β −β = ∑ ∂β =
- +//0/123 ?K$ β +β ∑∑ = == β∑∑ +β ∑ = === +//0/123 IA> 9" ∑ − β = −β β = = ∑ − = = − ∑ β = = = − ∑ = -
- +//0/123 7 − ∑ − ∑ = = 8GFFO! − − = − = − 8G 8A""KB!H7 FF 045./26 33!K8F!+EFKOBP3 BKBC" = ∑ − = ∑ − = ∑ &5& 8KO;F!+EFKOBPR BKBC 9"" = ∑ − = β ∑ 050OB;FK8F!+EFKOBP3 BKBC = ∑ = ∑∑ − = − β ∑ -
- 045./26 ' 01 & 3 0 ' ) ) ?@%5K ""K3>0HG& -% 637809: 3K"N 9"53*&.0 K$ = + ?G01 9 CH7""BC8AFEFK BFM' @4&87 0@ ?ABC "05!N" 9 "KGDEF$F@ -2
- 637809: ∑ = = − = − = ∑ = 3! β ∑ = = ∑ = 4; 637809: 0- !B "K' 9"" ""BC)!@ 0*-5 =DEF$ 9 !G! 0*5)HG'"4EFKA 9"50BC) KHG! >; KHG!"4K@ *:;<0TF"K;FBO;0P⎯0 EF$ KHG!@ -
- 637809? @⎯: − =− − − KHG! G⎯0 KHG!HG 9"8@ -Q 6374 >A !N" "J"! "KEFKAF$"K8 9) HG'@ ∑ = = ∑ ∑ = =
- 4; A P-- 4"C N5)'*') F)>' "8# O!EFKC ABC EFK"K"#$@ !B 9 F$K$ "4KEFKA F$@ 6374 >A "#$%$&'!$() =± ! β 5 = + 70*>-**>
- *"+!,$!-./$/$+/012 I-5") 9" " 7"HG 8G8 9F I5%H !J"FBC ""K""BKBC8G$&O! "!;!K8OK>K8G&/()* - *"+!,$!-./$/$+/012 I%5"BKBC/"4 BK $KF!!B"O;KB"$ K/()*' I25"BKBC/"4B EFK>K8G !H/>/(*&//(*>F≠ (
- *"+!,$!-./$/$+/012 I)5"BKBC/ "8# H7 " !H/>)* I5S8 9BKBCF "4 * C"F+/,>- % 34$567 89:; 57".-)"K DEF$F$"> DEF$F$O! 8G 7"8 9F$ "A"C@ 2
- +B4; 9" " "";F$β β H7"J EFKB)>' >8G""β 8 9F>H7 β ""F"KF>"K"# B!"KF S! 8 = " " "" 7" 8 9 $ BK;K; O! / BO@ ) 2! $<.+ 5)012 HK5 BK BO5BKBC"F+ σ 5 BK0F"K σ *K/ P "4 9"σ P; 7"8 9"A" ∑ σ = −
- 2! $<.+ 5)012 ∑ σ β β = β = β ∑ σ β = β = β β ∑ Q 2! $<.+ 5)012 KBC"F+"KDEF$58G ∑ 8A"F"F+"" σ = − 'EFK =DEF$F
- =>$$(?$@!A'B2CD -@ 01EFKFF = β + β @ = %@ ∑ = 2@ ∧ ∑ = )@ ∑ = +BE1F4G=>637 ∧ ∧ )" BF "K ! β P ε > β . ε "NK ""Kβ 8G-Pα K$5 ∧ ∧ β Pε ≤ β ≤ β .ε *-Pα @ H7 ε =α − β %
- +BE1F4G=>637 ∧∧ β Pε >β .ε 5!"#$> ε 5 " ""K 7"8 9> -Pα 5ABC"#$> α 1α 1-5N"K> α (>P57$ ""KBCPBF;O 5BCEFKB %- +BE1F4G=>σ − σ χ ≤ ≤ χ = − α −α σ α K$ − σ − σ ≤ σ ≤ = − α χα χ−α >5χ−α χα "K8 9F * CO!EF$8F#H7#"χ ;!PKTFA χ > χ−α = − α χ > χα = α %
- +HEI9F4 4 *E!%'(4$!,$!-F$ $@!A β = β !/$> β ≠ β G$>/$,! β ≤ β β > β G$>+! β ≥ β β −α @ F" #? @ ≤ −α
- HIJ 1−α α /2 α /2 T" #?! T"?! T"?! 8 α /2 α / 2 8888 *E!%'(4$!,$!-F$ $@!A "+$ !"#$ !"#$"Kβ 5 ε = β β ∈ β − ε β + ε − −α H7N"Kα H7N"K "K? KALA-(4$ β ∈ β − ε β + ε PF " #? β ∉ β − ε β + ε PF"?
- *E!%'(4$!,$!-F$ $@!A "+$ PHK8FO R 7"-53 β −β = β R 7"53 > = R 7"%52F$3"EF$ 8F α 5R"? PF α 5 #? M *E!%'(4$!,$!-F$ $@!A 1;N!7= 9!FO+OP ?K K ,*,4 ,5,4 PPα (P K ,,4 ,,4 α P K ,6,4 ,1,4 1α P
- K HIJ ?5,,4 ?-5,,4 1− α α T"?! α % K HIJ ?5,6,4 ?-5,1,4 1− α α T"?! 8 α 2
- *E!%'(4$ R/$$)/.'S$T$ ?50 * ?5,* H7N"Kα K$ "#$-Pα Q 3 − = − *G$/$+/!+4 !$N Q 3K1H7N"Kα HGK#" ;!->P Q KALA-(4$ PF11α ->P5R"? PF11α ->P5 #? *E!%'(4$ R/$$)/.'S$T$ O*G$/$+//85U Q 3 PHK8FO* 1α ->P1 Q 2F$3"EF$ PF α 5R"? PF α 5 #? 2
- 3C1 1 α *>) T"?! T" #?! 1 ->P α +JK01 DEF$ =β +β ! 7")*)>; !FHG "A"K'H7N"Kα K$ "#$-Pα @ V 5)(!%' =β +β
- +JK01 VRO+;!+4OT$. ∈ −ε +ε ! ε = −α = − =σ + ∑ +JK01 VRO+;!+4+O! . ∈ −ε +ε ! ε = − −α − = − − − = σ + + ∑
- +L MNM91=> =β +β + FH!"K)>'K$ DEF$78G =β +β + 7 = = β =ββ = β ⎛ ⎞ β = () β β =⎜ ⎟ β ⎜ ⎟ ⎝ ⎠ 2Q
- 5 6' I JKL " KL K JKL K K I KL IKKL !"#$ K IK K KLL O T
- PPPQR = β + β + β [\]^_ ! "#$%& ! ' ( )( "# *+%,*- $. / 0 1 *+%,*. 123/ 45. !6)7 4+84. !6) 9 PPPQR ! &')01)2 35657 8 ! 1@7'A3 B )C &D EAG &HP : 9 . = β + β + β + .6#6) : 9 "#
- SPS !PP ? @ AB>C*+8*DE@ +- FG 6#"#>2, + H#B>DEI -J ! FK FG # L# > M%B>8>NDE@OPN Q-J ! FK 1 L#*+ %,* + R->/ S / ) T .>B@8% I D ; [\]^ , :. = β + β + β + 6#6)"#: %&# 6 = − 70 / FG / / / FG F&2FK #6) β β β
- [\]^ = ∑ = ∑ − β − β − β → = − − β − β − β = ∑ β = − β − β − β − = ∑ β = − β − β − β − = ∑ β [\]^ ∑∑∑∑ − β = ∑∑ −∑ ∑∑∑∑ − β = ∑∑ − ∑ β = − β − β = − = −
- `] [\^^ [\ ∑∑ + − ∑ β = + σ ∑∑ − ∑ ∑ β = σ ∑∑ − ∑ ∑ β = σ ∑∑ − ∑ + I 2,/ FG 6#"# F# 9 7 F& 2FK ! . ∑ − ∑ σ = = − − a[] a[] ∑ = =− =− = ∑ = β ∑ + β ∑ = ∑ a[]]]b[] ∑ − H&A2, #6)"# 8 = !6)7 ∑ −
- a[]]]b[] − =− − − %!F# 95 %, - &F#%, / #+ ! . , !6) & 9%, @ # ]!"[\[#$ H& #α #1 35α β ∈β −ε β +ε H& ε =β −α
- ,[]\"]+ 5-J( . @ β = β %&c[] β − β = β %'\$([)*$+[] B 8α C+D.@ B 8α C+D. / 3 @ ,[]\"]+ +-J( ? . @.β +Eβ E@O B5. 5 #6) @D %&c[] − = − %'\$([)*$+[] α B+8 D.@. / K/ α B+8 D.M / 3 @. / K/
- "PPPQ#R = β + β ++ β : : 9 . = β + β ++ β + 6#6)"#: %&# 6 = − = − β − β − β − − β - "T$%&SP !'( ∑ = ∑ () − β − β − β − − β → = = ∂ + ∑S =5 = −+∑()R −β 5 −β +Q + −β Q − −β A Q A = @ ∂β 5 =5 ∂ + ∑S =5 = −+∑()R −β 5 −β +Q + −β Q − −β A Q A8 Q + = @ ∂β + =5 ∂ + ∑S =5 = −+∑()R −β 5 −β +Q + −β Q − −β A Q A Q A = @ ∂β A =5 .
- "")P*SUQ H& #α #1 35α β ∈β −ε β +ε H& ε = β −α a[] β ∑ + β ∑ + + β ∑ = ∑ a[]]]b[] − = − − − H&A2, #6)"# 8 !6) 7
- a[]]]b[] − =−− − %!F# 9 %, - &F#%, / #+ ! . , & # ) 9 & ")+!,-PSPSPQ ,[]\"]+/0]]1*$ TUV&6 W X β = β %&c[] β − β = β %'\$([)*$+[] B 8α C+D.@ B 8α C+D. / 3 @
- "B)+!,-PSPSPQ +-J( 6/ K/"# . ( ? . @.β +Eβ EEβ E@O B5. 5 #6) @D − = %&c[] − − %'\$([)*$+[]_ α B58 D.@. / K/ α B58 D.M / 3 @. / K/ . /0 =β +β ++β ⎡ ⎤ ⎢ ⎥ ⎢ ⎥ M F&( = ⎢ ⎥ ⎢ ⎥ ⎣⎢ ⎦⎥ ( %,(!"# $%& #α #1 35α -
- . /0 2 [\, =β +β ++β 2d34!\ee[\45[]^6 ∈ −ε +ε ε = 7 _ −α = − =σ . /0 2d34!\e4^6 ∈ −ε +ε 7 _ ε = − −α − = − − = + σ
- &' !"# +
- ! "# $ %&% ⇒ %$ '% ()*+* ,- ./0 *123 1 2+*45 67 26.84 *12392:;# % $ ?@ ! A
- B +* C . Δ = Δ D/0 *123 /:2+* Δ Δ = E ()*+* , F *123 /:2G!+*7 *1 239G % ≈ = B 745 62:;#2 H
- V ! "#$%S&"'( $IJ1 3 K =β =β + $IJ1LL , =β + σ ∑ ∑ β = β = σ = − ∑ ∑ ) S !*S+,-#".VS/,-#0,-#1 β $IJ1M = β B*1 = β + β + β β = ⇔ = β = = =
- ) S !*S+,-#".VS/,-#0,-#1 OPQ5, = − + R9G ./0+*. 1 >VEG N 23,-#".VS - P.64 = + O", 26 R "/64 C * +* , * J R! =
- ,-#0,V D 1.*" *; . .> '.9"! B*1. β 9β V ;.>β 9;.9"!β V $.*" 1 L . β 9β V 99 ,-#0,V β = = = *123 /:2+*45 6! β V *123 1 2+*26.84 ! *123 /:2+*. 9>> β V=>, 26 R "/G!+*2; *123 1 2+* β V>, 26
- ,-#0,V Q5, 7 26 R "/ !+*7 ;) / Q .* 26 R $ 1 P 9 V P 04 ; / ./0 *1 23 1 2+* C * $ .<. P 04 ; / ./0 *123 /:2+* C * 9 ,-#0,V ,-7 JIJ1 362#* ! P C R 9N +* $ "7 *9NV<9NN9 .! = + F R; 26VAG&R 9NV<9NN9 = + F R; 26 1 2NH &R 9NV<9NN9
- ,V0,-# = β + β + ⎛ ⎞ = β β = ⎜ ⎟ *1 ⎝ ⎠ *123>>9*19G! *123 1 2+*.>>9β V ,V0,-# , ! ,./0 ! O . "7 *9N> <./0 R. 9G 7 C F* RJ+* VEA 9H
- 4 #5%'6- =β +β + !" 2K, # V9& ! Q >; "# 9 Q5, 2/ 4P 2: ;# 2/ Q$ C 84 %C. "2/.4 789#%V:+'; 7 ./0 R β V=> ;$ 8; "5 β 9 ./09 > ./0! 9
- 789#%-#=V,,V:> . *1 β 9> 23 ./:! β V=> > . 4! β 9 . 4 R; . +* ./: 7;/0 J9 9N 789#%-#?#@, - +*6 . ! β 9 β 9=> β V> >
- 789#%-#?#@, - * R7 3 84" 3 ! R/2;6 . * 84+*/ Q$4 2 K<β V&β 9*1)*. /+ 84! / Q$ Q5.1 $" 7+*.1., )*.Q$ 84 R; / Q$M7 5 " 1,*$ Q$)*+*. 1.9 V9 A '"SW% =β +β +β +β + O, 34P ./0 4- Q5, 1 1 "* 2/0 4P " '-! ; 4P $-!
- X %Y'(S.Z:[:$V =β +β +β − ++β − + O, Q$R 84R 3\#V]"%3%^ -$+L -$ 26.84 IJ17 $ 26.84 Q$ &2# / 145 6& "IJ1$ Q126.84 KQ7* O,-IJ1 K V;* 9 9. -IJ17 K V;* 9 .9 VA
- $ 6%&'&( )* ! "#$% P V
- _ "#$ #$ !" # $"#% &' (#)$#* #+&,-"#$' ./0 1 + "23 4
- !"#$%!"$&'()!"*+,-!,,.$/01 567/β 8 9β :59β ; 7 ?F"#@1 A3 5 B$ B$"&5 1IJ;3F"#@ *C"& + D+E#C+>B$"&5
- !"#$%!"$&'()!"*+,-!,,.$/01 β : "$K"#@2B$ β ; L" F"#@ * C"&+ MD+E+&B$ 1*"$K"#@2 B$MD+E"3 H17A5,3/β 89β :59β ;< 7 β +β β β 5 IJ8BC*#"$ V <+&V ?D'B$"&5
- !"#$%!"$&'()!"*+,-!,,.$/01 56E $*B173 1 A3+&153 1K3 +& @"& + * #" $ 1 8/8 @"&+ < 8/F @"&+ @D :/8 @"&+ <? :/F @"&+ @D 8/F+&:/F @M !"#$%!"$&'()!"*+,-!,,.$/01 H17A5,8,:3/β 89β :59β ;89β 4: H17A5,8/F,:/F3/β 89β :5 H17A5,8/8,:/F3/β 89β :59β ; H17A5,8/F,:/83/β 89β :59β 4 β ;L" B *C +L"&+ < +&< <D' "&+ 5K β 4L" B *C +L"&+ <?+&< <D' "&+ 5K
- !"#$%!"$&'()!"*+,-!,,.$/01 JB $+& $ #"$1G M"L,+& D3 8 $G M"L #'$ BD ># +> /8/F) 8:
- !"#$%!"$&'()!"*+,-!,,.$/01 ?8#@DM*++&) D#"$K"#@2" K # ?:#@DM## "$K"#@D ?;#@DM+&"$K "#@D 8; !"#$%!"$&'()!"*+,-!,,.$/01 ?8 )1/F3 =β +β &+>1/83 =β +β +β 84
- !"#$%!"$&'()!"*+,-!,,.$/01 =β +β +β =β +β β +β β β β > β IJ:#@DM*++&)D 8I !"#$%!"$&'()!"*+,-!,,.$/01 ?: 5G"&#@ &+>)1/F3 =β +β &+>1/83 =β +β +β =β + β +β 8
- !"#$%!"$&'()!"*+,-!,,.$/01 =β + β +β =β +β β β β > β IJ;K"#@2"K *++&)D 8 !"#$%!"$&'()!"*+,-!,,.$/01 ?; )1/F3 =β +β &+>1/83 = β + β + β + β = β + β + β + β 8
- !"#$%!"$&'()!"*+,-!,,.$/01 = β + β + β + β =β +β β +β β β β β > β IJ4#@DM+&K"#@*++&)D 8 23!" !"4 !"#$%!"$& IJ;J8 C# 7LL 5 B /8 183 /F D! 18:3 ?8" ?:" #M '#M " "' = β + β + β = β + β + β + β '# @J + D #$ "'&'!"J
- 23!" !"4 !"#$%!"$& IJ;J:V# % .* # IJIJ"" D +&BCM#># 84;1 3 ?V$?D ?B ?V$$ ?D ?B 84 FJ; J 8II FJI 8IJI 84 FJ:8 J4 8I FJ 8J 84 FJF 8F 8I FJI 8J 84 FJ: 8FJ 8I FJ: 8J 8IF FJ8 88 8I 8JF4 8J 8I8 FJ8: 88J 8F 8JI; :8J8 8I: FJ48 8:J 88 8J4 ::J 8I; FJI 8;JI 8: 8JI :;J 8I4 FJ4; 84J; 8; 8J :IJ: 23!" !"4 !"#$%!"$& L V & D ' % .):D%DJ fff f!"!#$%!f&#' ?D%84I4 = α + α + ?D%B8II; = λ + λ + &D #$ α = λ α =λ α ≠ λ α ≠λ α = λ α ≠ λ α =λ α ≠ λ
- 23!" !"4 !"#$%!"$& f() *+" *, 8JB&D *:D% = β + β + β + β + >/89: /8 $D% /F $D%B :JVFβ ;/F %BF"& D& ;JVFβ 4/F %BF"&5 D& 23!" !"4 !"#$%!"$& V2# = − + + − + / 1I,:31,:;31;,8II31;,8F3 / 1F,FFF31F,FFF31F,FF31F,FF3 B6 ?$"L" +& "'L " '!""DL ' D%"&D
- 23!" !"4 !"#$%!"$& ?D%/8 = − + + − = −+ ?D%B/F = − + 23!" !"4 !"#$%!"$& ?D = − + ?D%B = −+ ?D% ?B FJ: 8JI IJ:D%
- 23!" !"4 !"#$%!"$& IJ;J;J&#D. 5F (D+>D L5J &' = β + β + β − + 7?F 5 < 5 #)"#$ /8505 /F5*5 23!" !"4 !"#$%!"$& 7 5 IJ&#D. VFβ ;/F &F& % .
- & FH H H H HHHH !H "#$% F H H H FH H H H HFHH HHH :
- %&' !"#$ ( !"#$#%&!'() )*+,-.' / = β + β + β ++ β 012#$ 3+4 / 3
- !"#$#%&!'() 67 +8+ ). 9λ : λ ( ;λ ?++ λ :@:Aλ (@(A;Aλ H , 69 6. 6: /7 9 / , .9 ;. <9 6/9 6.9 ,7 ./ ;. <; 6/< 6./ = / 9 ; < HHHHHHHHHHHHH ,FH-H.,/F0H1HH H2H2HF3H ,/H H,H4H5/H-H6H ,/H H,7H1HH H8H2H2H H D
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- ,-./0&123$#%&!'() ()∑ ()()()λ ∑∑ + − λ ∑∑ + λ∑ β = ()(∑ λ ∑∑ + )()− λ ∑ H!1H HD&H'DHDHHH()H BFHHDH(FH()HH5 H'& E( 45'6'"#$#%&!'() H1HH HH28H2 DH(FH8HFHDH(FHH HD&H'DH H'&H 2H FH H5H "H()H H8H1HH /H2HDH H()H H3 H1HH E
- 45'6'"#$#%&!'() .H!HD&H'DH H H(FH()HH HH 5H+H5 HEH&FH 3H HFHH 52HC3H'FH H> HHHD&H'DHHHH ()HBFHFH1H H(F ;H"+@H 2HH& HFHHFHH H&FHHFH0H@8HAH(H HFHHC H2 H HFHHH '&HHHD&H'D E5 45'6'"#$#%&!'() 7 8 H+ P 8+T/ @<, L' 3 *+ S F1 F L ' 3 *+ P$ F 8+16+1P - 3 *K LPO ED
- 7898!2:$#%&!'() 6H% : O :6)L'R#4/ 3+ (6NT$,-.'#$ 6NT$ #19#L G E 7898!2:$#%&!'() !"# $ % ∑ − − = ∑ − − )*+1@ 8:/ 3 *+, -
- 7898!2:$#%&!'() &'()*+,- ) %.' / 3@ H+/9 = β + β ++ β )3 :C8+,- − = − − : %?Q B?%?Q<,1 α JE J<Q//O%? 1 α JE J<Q#&%? <,1 7898!2:$#%&!'() &'(). '/012345h 7C8.' :/ 3 = − 7C *=# S' 1<JE/ 3 = − : : Q8 * *+8.' @ H+<J: / 396 ), =<G E? -/8 +8 1 + g
- 67 + 89*;81<9= G3T$,-U 0+//J+ IBβ EAβ :!Aβ (A 01 FU * T+!C8 H+' ,U 6/ <,S H+' , 8β :Aβ (BE - IBβ EAβ :!AEJβ :A IBβ 1Aβ :!JA IBβ 1Aβ :!A B C- 8,-. ' L ;81<9= :%1 e;* "# $e<*+ , EQ@HR#/ 38+1' R 6FH(H,/0H,,H'H HFHH ' 0HH'HFHH H H,/0H,HH DHH HH&FHH :Q)3 :C8.' Q1R :/!<,1R *+:/ (Q+9/8 * : 3< <,1R /18L6
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- !"# F ^ ^^ ^ $ ^^ ^ ^ !"# 3H96HiH ,H Fd H*Fe1H 5+H 3HjH*,H':+H ;+H H-6H0iH-6+H +F?H Fd H*Fe1HH k+H6H+FH-3H (iH:FH1>H Fd H*Fe1H 5+H3H *2+H ,H-cFH @FH1FH1>H H (H lA,H8H 5'B+H-(HH('b+H(FH(FH ()HFHH*2+H-cFH,H('b+H(FH +H 8 8 F H Hσ
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