Kinh tế lượng - Tổng quan kinh tế lượng

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  1. 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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  9. d ef   RH FH FHKLH H HFGHLF H^\H ^ KLH_K H HFGKHHH PHIFH K H GHKH FHFGKHHK MKH HLF H ^\H HK   R RFH PHIJKH FH PH H FHFGK HKG H]HH FH HFGKHIH M  PH K LH RFH PHFH FH PH  H K F HFGK HKG H]HH ] FHFGKHIH MH^H XK  d ef  &SKLH H F HHF HHH I\K NF H _K ] &SKLHKL H FHHF HH$FH K FXK HHHNFHH$F / 4'p1< k +,AEmi   p;  'p;!B lk1j . k '   8 )g' B") iB" $!%
  10. d ef  HH "K+H H  HFGHLF H^\H^ KLH _K H  H FGKH  H  HWH +H KLHIH L  HH HHK FX H  FH FGKH IH MHH K MKHLF H^\H  H FGHLF H ^\H ^ KLH _K H HHH PHIFH  KL+HLFO HHK FX H IJKH\H FHLF H^\H HH  HHL+HIH  N  KLH XKH HIJKH\H ZFH IF H FKH  HPG H H  H KLHIF  d ef  F H \H HOK H KLH H HPG HH $ 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
  11. d ef  NHRH FH PH H#H# H  L^ FKH KFK 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 # &SKLHKL H  =  +  = β + β  +  K FXK        ',kA@k/ 4 β  β   ',kA@k)g 7 ' ,k  A@k  +5 Ak  5 &j -/p7B-B4
  12. 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 
  13. d ef  RH FH PHH KH HK KH O  i o!2' : /1Akj41 /1j . k4 / o4 /!24  o#k  $!%m * 0 1 5 ! i o!2 $ d ef   o#k !'A m% RFH PHH # & 1+5 JKLH 1k+p'A" 6l  K  o#k  $!%',k  k-D1 p;p1< k1 j . k-Dp p;6kA; k1 Akj9 %
  14. d ef  #H F H $HKL FHFGKH K H $HKL FH L KH H  HK *KLHIF HFKH  MH" K HI\K H i #H F H WHG  d ef  #H F H %FH &FHLFK ] KH SFH #H F H ' "i #H F H %KH  #FHH^KLH H^_K H " H KLH  H MHH F "i ] JKLH HIF H^H j .  (KH  k )HIHKLH HHOH g8 MH HH F
  15.                - ./01- I-  JKL- -  KL K  JKL K  K  I  KL †  KL  ./0  K† 1234  !"" #†I$K  K %KLL& ' (  )* +KL †, K   I"- 
  16.               ! "#$  ‡    ! % +,-.  !"#$%&$%' &( )"*"'    &'()*+)*,-.,) "#$  '*&'()./*,-.,)./ 01     =β +β    "#$     = + =β +β   + 2
  17. +,-. 3ˆ! 4 β   567"8 9 "!β -  β  567"8 9 "!β     567"8 9 "!&'()  :;    +,-.    β  β β   β  ?@-5?ABCDEF$ˆ! GDEF$ 01HG01 
  18. +//0/123 IB:"4"J EFKB)>'@3 ˆL BK!"!L M ˆ'>N"O*P'PLP "G "G C@  ?K$>H7"J EFKB>FC     ∑ =∑() −β −β   ⇒ = = Q +//0/123    RG!G>BK!"!+β β   STFA‡" "ˆ8G5 ⎛  ⎞ ∂⎜  ⎟ ∑   ⎝ = ⎠   = − ∑() −β −β  =  ∂β      = ⎛  ⎞ ∂⎜  ⎟ ∑   ⎝  = ⎠ = − ()−β −β =  ∑       ∂β    = 
  19. +//0/123 ?K$   β +β ∑∑  =  ==    β∑∑  +β ∑  =   ===   +//0/123 IA> 9" ∑   −   β = −β  β = =      ∑   −  = =  −     ∑    β = =    =  −  ∑   = -
  20. +//0/123 7 − ∑ − ∑   =  = 8GˆF FO! − −  =   −   =  − 8G 8A" ˆ" KB!H7  ˆˆF F 045 ./26 33!K8F!+EFKˆOBP3     BKBC  "       = ∑ − = ∑ −  = ∑  &5& 8KO;F!+EFKˆOBPR   BKBC 9" "       = ∑ − = β ∑  050OB;FK8F!+EFKˆOBP3      BKBC         = ∑  = ∑∑ −  =  − β  ∑  -
  21. 045 ./26 ' 01 &  3  0 ' ) ) ?@%5 K "" K3>0HG& -% 637809: 3K"N  9"53*&.0   K$  = + ?G01 9 CH7""BC8AFEFK  BF M' @4&87  0@ ?ABC "05!N"  9  " KGDEF$F@ -2
  22. 637809:    ∑   = = − = − =  ∑  = 3ˆ!     β ∑   = =  ∑  =  4; 637809: 0- !B   " K' 9" " ""BC)ˆ! @ 0*-5 = DEF$ 9 !G! 0*5)HG' "4EFKA  9"‡50 BC) KHG!  >; KHG! "4 K@ *:;< 0TF"K;FBO;0P⎯0‡ EF$ KHG!@ -
  23. 637809? @⎯:   −  =− −    −   KHG! G⎯0  KHG!HG  9"8@ -Q 6374 >A    !N" "J"! " KEFKAF$ "K8 9 ) HG'@ ∑    = =   ∑  ∑  = = 
  24. 4; A P-ˆ- 4"C N 5ˆ)'*ˆ') F)>' "8# O!EFK‡C  ABC  EFK "K"# $ @ ˆ!B 9 F$K$   "4 K‡EFKA  F$@  6374 >A "# $% $& '!$ ()  =±        ! β 5   = +  70*>-*ˆ*> 
  25. * "+ !, $!- . /$ /$+/ 012 I-5" ˆ) 9" " ˆ 7"HG  8G8 9  F  I5%H  !J"ˆF BC  "" K""BKBC8G$ &Oˆ! "!;!K8OK> K8G&/()* - * "+ !, $!- . /$ /$+/ 012 I%5"BKBC/"4   BK $ KF!!B"O;KB"$  Kˆ/()*' I25"BKBC/ "4B    EFK> K8G !H/>/(*&//(*>F≠ ( 
  26. * "+ !, $!- . /$ /$+/ 012 I)5"BKBC/ "8# H7 " !H/>)* I5S8 9 BKBC F  "4 * C"F+/,>-  % 34$ 56 7 89:; 57"  .-)" K DEF$F$" ‡> DEF$F$O!        8G 7"8 9 F$  "A"C@ 2
  27. +B4;  9" " "";F$β  β H7"J  ˆEFKB)>' >8G""β  8 9  F>H7  β ""F"KF> ˆ" K"#  B!"KF S! 8 =    " " "" 7" 8 9  $     BK;Kˆ; Oˆˆ!ˆ / BO@ ) 2! $< . +   5) 012 HKˆ5   BK BO5BKBC"F+ σ 5   BK0F" K  ‡  σ *Kˆ/ P "4 9" ˆσ  P;  7"8 9  "A" ∑  σ  =   −  
  28. 2! $< . +   5) 012 ∑   σ  β β =  β = β      ∑  σ   β = β = β β      ∑  Q 2! $< . +   5) 012 KBC"F+" KDEF$58G ∑   8A"F"F+"" ˆ σ =  −  'EFK = DEF$F 
  29. =>$ $ (? $@! A 'B 2CD -@ 01EFKˆF F    = β + β   @  =  %@ ∑  =  2@ ∧ ∑   =  )@ ∑    =   +BE1F4G =>637 ∧ ∧ )" BF " K !  β  P ε > β  . ε  "NK ˆ "" Kβ 8G-Pα K$5 ∧ ∧  β Pε ≤ β ≤ β .ε *-Pα @ H7  ε =α  − β %
  30. +BE1F4G =>637 ∧∧  β Pε >β .ε 5! "#$>  ε 5 " "" K 7"8 9 >  -Pα 5ABC"#$>  α 1α 1-5N" K>  α (>P5 ˆ7$  ""ˆK BCPBF;O  5BCEFKB %- +BE1F4G =>σ   −  σ  χ  ≤ ≤ χ  = − α −α   σ  α   K$  −  σ   −  σ   ≤ σ  ≤ = − α   χα   χ−α     >5 χ−α   χα   ˆ" K8 9  F  * CO!EF$8F#H7#"χ   ;!PKTFA     χ > χ−α   = − α  χ > χα   = α   %
  31. +HEI9F4 4 * E!%' (4$ !, $!- F $ $@! A     β = β  ! /$>     β ≠ β  G$> /$,!    β ≤ β   β > β     G$> +!   β ≥ β        β  −α   @ F" #? @  ≤  −α    
  32. HIJ 1−α α /2 α /2 T" #?! T"?! T"?! 8  α /2 α / 2 8888       * E!%' (4$ !, $!- F $ $@! A "+$      ! "#$ ! "#$" Kβ 5   ε =  β β  ∈ β  − ε   β  + ε    − −α    H7N" Kα ˆ H7N" K " K? KA L A- (4$ β  ∈ β − ε  β + ε PF    " #?     β  ∉ β  − ε   β  + ε  PF"? 
  33. * E!%' (4$ !, $!- F $ $@! A "+$       PHK8FO R 7"-53 β −β  =     β R 7"53  >  =  R 7"%52F$3"EF$ 8 F α 5R"? PF α 5 #? M * E!%' (4$ !, $!- F $ $@! A 1;N! 7=   9!F O+ OP ?K K ,*,4 ,5,4 PPα (P K  ,,4 ,,4 α P Kˆ ,6,4 ,1,4 1α P 
  34. ‡ K  HIJ ?5,,4 ?-5,,4  1− α α T"?!  α   % ‡ Kˆ HIJ ?5,6,4 ?-5,1,4 1− α α T"?! 8 α   2
  35. * E!%' (4$ R /$ $)/ . 'S $T$  ‡ ?50 *     ?5,* H7N" Kα K$ "#$-Pα Q   3   −  = − * G$ /$+/ !+ 4  ! $N Q   3ˆK 1H7N" Kα HGK#"  ;!->P Q   KA L A- (4$ 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
  36. 3C 1 1 α *>) T"?! T" #?! 1 ->P α  +JK 01 DEF$      =β +β   !ˆ 7" ˆ)*)>; ! ˆˆF HG ˆ"A" K'H7N" Kα K$  "#$-Pα @ V   5) (!%'     =β +β   
  37. +JK 01 V R O+; !+ 4  OT$ .        ∈ −ε  +ε  !  ε =   −α      =    −    =σ   +    ∑   +JK 01 V R O+; !+ 4 + O!  .       ∈ −ε  +ε  !   ε =  −  −α      − =  −   −    −  = σ  + +     ∑  
  38. +L MNM91=>      =β +β   + F H!" K)>'K$  DEF$78G   =β  +β    +      7            =    =   β =ββ = β   ⎛  ⎞ β  = ()  β β  =⎜  ⎟ β     ⎜ ⎟  ⎝ ⎠ 2Q        
  39.       5  6'  I JKL "   KL K  JKL K  K  I  KL   † IKKL !"#$    K†    †IK  K KLL   O   T         
  40. 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 "#   
  41. 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  
  42.   [\  ]^    = ∑  = ∑  − β − β    − β     →  = −  − β − β  − β   = ∑       β  =   − β − β  − β  −  = ∑        β  =   − β − β  − β  −  = ∑        β    [\  ]^ ∑∑∑∑   −    β =            ∑∑  −∑   ∑∑∑∑   −    β =            ∑∑  − ∑    β =  − β   − β    =   −   =  − 
  43. `] [\^ ^    [\    ∑∑ +    −   ∑  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  ∑  − 
  44. a []] ]b[] −   =− −   −    %!F#   95 %,   - &F#%,   /  #+  ! . ,   !6)  & 9%,     @  #   ]!"[\[ #$ H&  #α  #1 35α β ∈β −ε β +ε  H& ε =β  −α  
  45.  ,[]\"]+ 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/ 
  46. "PPPQ#R              = β + β   ++ β      : : 9 .  = β + β   ++ β   +  6#6)"#:  %&# 6   =  −  =  − β  − β    − β    −  − β    - "T$%&SP !'(   ∑  = ∑ () − β  − β    − β    − − β    → = = ∂ + ∑S =5     = −+∑()R −β 5 −β +Q + −β Q  − −β A Q A = @ ∂β 5 =5 ∂ + ∑S =5     = −+∑()R −β 5 −β +Q + −β Q  − −β A Q A8 Q + = @ ∂β + =5 ∂ + ∑S =5     = −+∑()R −β 5 −β +Q + −β Q  − −β A Q A Q A = @ ∂β A =5 .
  47. "")P*SUQ H&  #α  #1 35α β ∈β −ε β +ε  H& ε  = β  −α    a [] β ∑  + β ∑  + + β ∑   =           ∑  a []] ]b[] −   = − −   −  H&A2, #6)"#   8  !6) 7 
  48. a []] ]b[] −   =−−   −     %!F# 9   %,   - &F#%,    /  #+ ! . ,      &    #  )  9      &  ")+!,-PSPSPQ  ,[]\"]+/0]]1*$ TUV&6  W   X β = β %&c[] β − β   =    β   %'\$([) *$+[]  B 8α C+D.@  B 8α C+D. / 3 @ 
  49. "B)+!,-PSPSPQ +-J( 6/  K/"#   . (      ?  . @.β +Eβ EEβ E@O B5. 5  #6) @D   −  = %&c[] −  − %'\$([) *$+[]_  α B58 D.@.   /  K/  α B58 D.M / 3 @.     /  K/  . /0      =β +β  ++β         ⎡ ⎤ ⎢ ⎥  ⎢  ⎥ M F&(  = ⎢ ⎥ ⎢ ⎥ ⎣⎢  ⎦⎥ (  %,(!"# $%&  #α  #1 35α - 
  50. . /0 2  [\,  =β +β   ++β   2d34!\ee[\45[] ^6    ∈ −ε  +ε  ε =   7 _  −α    =      −   =σ       . /0 2d34!\e 4 ^6    ∈ −ε  +ε  7 _  ε =  −  −α    −  =  −    −   =   + σ 
  51.     &'      ‡        !"#  +
  52.     š      š     ! š "#  $ %&% ⇒ %$ '%  ()*+*  ,- ./0 *123 1 2+* 45 67  26.84  *12392:;# % $ ?@ ! A
  53.   B +* C . Δ   = Δ  D/0 *123 /:2+* Δ Δ  =      E   ()*+* ,  F *123 /:2G!+*7  *1 239G %     ≈  =        B 745 62:;#2 H
  54.  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 = =  =      
  55. ) S !*S+,-#".VS/,-#0,-#1 OPQ5,  =   −    + š R9G ./0+*. š1 > VEG N  23,-#".VS      -  P.64  =  +  O", 26 R "/64 C * +* , * š J R! = 
  56.  ,-#0,V D 1.*" *; . .>  '.9 "! B*1. β 9 β V  ;.>β 9;.9 "!β V $š.*" 1  L  . β 9 β 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  
  57.  ,-#0,V Q5,  7 š  26 R "/  !+*š 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 š R 9N +* $ "7 *9NV<9NN9  .!  =  +   F R; 26V AG&R  9NV<9NN9    =   +   F R; 26 1 2N H  &R 9NV<9NN9 
  58.  ,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+*  VE A   9H
  59. 4 #5%'6-   =β +β +      !" 2K,      #    V9& !  Q >;   š "# 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
  60. 789#%-#=V,,V:> . *1 β 9> 23 ./:! β V=> > .   4! β 9  .  4 R;  .  +* ./: 7;/0 Jš9 9N 789#%-#?#@, -   +*6 . ! β 9 β 9=> β V> >
  61. 789#%-#?#@, -  * R7 3 84" 3  ! R/2;6  . *  84+*/  Q$4 2   K<β V&β 9*1)*. /+ 84! /  Q$  Q5.1 $" 7š +*.1.,  )*.Q$ 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   $-! 
  62. X %Y'(S.Z:[:$V  =β +β  +β  − ++β  − + O,   Q$R 84R 3\#V]"%3%^ -$+L -$  26.84 šIJ17 $  26.84 Q$ &š2# /  1 45 6&  "IJ1$ Q1 26.84 KšQ7š* O,-šIJ1 K  šV;*   9   9 .  -šIJ17 K  šV;* 9   .9   VA
  63.              $ 6%&'&( )*    !   ˆ ˆˆ "#$% ˆ P V
  64.   š           _ "#$šš š #$   !"  #  $ " #%  &' (#) $ #*  #+&,-"#$' ./0  1  +  "23 4
  65.  !"#$%!"$&'()!"*+,-!,,.$/01 56 7/β 8 9β :59β ;  7 ?F"#@1  A š3 5 B $   B $"&5 1IJ;3 F"#@  *C"& +  D+E #C+> B $"&5
  66.  !"#$%!"$&'()!"*+,-!,,.$/01 β : "$ K"#@ 2 B $ β ; L"  F"#@  * C"&+ MD+E+& B $ 1  * "$ K"#@ 2 B $MD+E"3 H17A5,3/β 89β :59β ;< 7 β +β    β  β 5 IJ8 B C š*#"$  V <+&V ? D' B $"&5
  67.  !"#$%!"$&'()!"*+,-!,,.$/01  56 E  $* B173 1  A š3+&  š153 1K3 +& @"& +  * #" $ 1  8/8 @"&+  < 8/F @"&+  @Dš :/8 @"&+  < ? :/F @"&+  @Dš 8/F+&:/F @M  !"#$%!"$&'()!"*+,-!,,.$/01 H17A5,8,:3/β 89β :59β ;89β 4: H17A5,8/F,:/F3/β 89β :5 H17A5,8/8,:/F3/β 89β :59β ; H17A5,8/F,:/83/β 89β :59β 4 β ;L"  B  *C +L"&+  < +&< <D' "&+ 5K β 4L"  B  *C +L"&+  < ? +&< <D' "&+ 5K 
  68.  !"#$%!"$&'()!"*+,-!,,.$/01 J B  $+& $ #"$1 G M"L,+& Dš3 8 $ G M"L  #' š$ BD  > # +> /8/F) 8:
  69.  !"#$%!"$&'()!"*+,-!,,.$/01 ?8 #@DM*++&) Dš# "$ K"#@ 2" K # ?: #@DM## "$ K"#@Dš ?; #@DM+& "$ K "#@Dš 8;  !"#$%!"$&'()!"*+,-!,,.$/01 ?8 )1/F3     =β +β  &+>1/83      =β +β +β  84
  70.  !"#$%!"$&'()!"*+,-!,,.$/01       =β +β +β      =β +β  β +β      β β  β >  β   IJ: #@DM*++&)Dš 8I  !"#$%!"$&'()!"*+,-!,,.$/01 ?: 5G"&  #@ š &+>)1/F3     =β +β  &+>1/83         =β +β  +β  =β + β +β  8
  71.  !"#$%!"$&'()!"*+,-!,,.$/01       =β + β +β      =β +β     β β  β >  β   IJ; K"#@ 2"K *++&)Dš 8  !"#$%!"$&'()!"*+,-!,,.$/01 ?; )1/F3     =β +β  &+>1/83           = β + β  + β  + β  = β + β  + β + β  8
  72.  !"#$%!"$&'()!"*+,-!,,.$/01        = β + β  + β + β      =β +β    β +β     β β  β  β >  β   IJ4 #@DM+& K"#@*++&)Dš 8 23!" !"4 !"#$%!"$& IJ;J8   C # 7 L L  5 B /8š  1 š83 /F š D! 1 š8:3 ?8  " ?:  " #M  '#M  " "'  = β + β  + β             = β + β   + β  + β    ' # š @J + D     #$ "'&'!"J 
  73. 23!" !"4 !"#$%!"$& IJ;J:V # % .*š # IJIJ""   D +& BšCM#>#  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% š  84I4  = α  + α    +  ?D%B š  8II;  = λ + λ   +   &Dš #$ α = λ α =λ α ≠ λ       α ≠λ α = λ α ≠ λ α =λ       α ≠ λ 
  74. 23!" !"4 !"#$%!"$& f() *+" *, 8J B&  D  š *: D%      = β + β   + β  + β    +  >/89: /8 š  $ D% š  /F š  $ D%B š  :JV  Fβ ;/F %BF" & D& ;JV  Fβ 4/F %BF" &5 D&  23!" !"4 !"#$%!"$& V  2#  = − +    +   −     +  / 1I,:31,:;31;,8II31;,8F3 / 1F,FFF31F,FFF31F,FF31F,FF3 B6 ?$"L" +& "'L " '!" "DL 'š  D%"&Dš 
  75. 23!" !"4 !"#$%!"$& ?D% š  /8   = − +    +  −      = −+    ?D%B š  /F   = − +     23!" !"4 !"#$%!"$& ? D   = − +   ?D%B š      = −+    ?D% š  ?B FJ: 8JI IJ: D% 
  76. 23!" !"4 !"#$%!"$& IJ;J;J&  # D.   5  F (Dš+>D   L5J &'   = β + β   + β   −   + 7?F 5 <  5 š #)"#$  /8505  /F5*5  23!" !"4 !"#$%!"$& 7  5 IJ&  # D. V  Fβ ;/F  š &F&  % . 
  77.                    & FH ‰H  H H   HHH‰H ‰  !H "#$%  F H H  H F‰H H ‰H ‰H HF‰HH HHH :
  78.              %& '         !"#$   (  !"#$#%&!'()   )*+ ,-.' /       = β + β   + β   ++ β   012#$    3+ 4 /  3 
  79.  !"#$#%&!'() 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.,/F0H1H‰H ‰H2 ‰H2HF3H ,/H H,H4H5/H-H6H ,/H H,7H1H‰H ‰H8‰H2 ‰H2H H D
  80.  !"#$#%&!'() !, 1   7   # I I @( @( @: @: %- D6EF .GH,        !"#$#%&!'() 7  + 7  +8+ I I @( @: @: @( %-D6EF .GH,       
  81. &'(*+"#$#%&!'() J0K/&#1' 1 '  '  1 L ' + C-. #$  C8+ M < <6 JN'  OL/ J0   &#P QP <, R *  + S  F J0K/@1/ O6  ,-./0&123$#%&!'()    #$ %()01 6786 ,? H@8HA‰HBFHFHHF‰HCD&FHCE‰H ( FH-Hβ /H,/FHHHβ H,FHHF FH(,FH-Hλ ,/F @8HA‰HDHF‰HFH  ‰H ∑   β = β + λβ  =    H-Hβ Hλβ , HH H-Hβ H, HH H F /  /F ∑ F  9 /F F D ‰HH H    !,  F -= T  + β β E?
  82. ,-./0&123$#%&!'() ∑∑∑∑   −     β =            ∑∑  −∑   λ∑∑   − λ ∑∑    β =        =        λ ∑∑  − λ ∑  ∑   0  <, U  D ‰H(FH H(FH()H‰HHβ / Hβ H' H 8HE‰ EE ,-./0&123$#%&!'() @  #$ %()01 AB6786  7  +8+ = <,  U * *+  2 6  ,? H@8HA‰HBFHFHHF‰HCD&FHCE‰H ( FH-Hβ /H/FHHHβ HFHHF FH(HFH-Hλ H/FHH F =&FHλ H≠ H9H H FH' H(FH()H‰*H‰F+‰ E:
  83. ,-./0&123$#%&!'() ()∑   ()()()λ ∑∑ +  − λ ∑∑  +   λ∑  β =                  ()(∑  λ ∑∑ +  )()− λ ∑  H!1H HD&H'D‰HDHHH()H BFHH‰D‰H(FH()H‰H5 H'&‰ E( 45'6'"#$#%&!'() H1H‰H ‰H‰H28‰H2  D ‰H(FH 8HFHD ‰H(FHH HD&H'D‰H H'&‰H  2‰H F‰H H5‰H ‰  "H()H H8‰H1HH‰  /H2H‰D‰H H()H H3 H1HH‰ E
  84. 45'6'"#$#%&!'() .H!HD&H'D‰H H H(FH()H‰H H‰H 5H‰+‰H5 H‰EH &FH ‰3‰H HFH‰H 52‰HC3H'FH H> HHHD&H'D‰HHHH ()HBFHFH1H H(F ;H"+@H 2HH& HFHHF‰H‰H ‰H &FHHF‰H0H@8HA‰H(H HFH HC H2 H HFH HH '&‰HHHD&H'D‰ E5 45'6'"#$#%&!'() 7  8     H+ P  8+T/&# @<,  L '   3 *+  S  F  1 F L  '   3 *+  P $ F 8+16+1P  -     3   *K  LP O ED
  85. 7898!2:$#%&!'() 6H%  :   O :6)L ' R# 4/  3+ (6N T$ ,-.' #$ 6N T$    #1 9#L  G  E 7898!2:$#%&!'()       !" # $ % ∑ −   −  =      ∑  −     −  )*+ 1@ 8:/  3 *+ , - 
  86. 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
  87. 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 : !A EJβ : A   I Bβ 1Aβ : !J A   IBβ 1Aβ : !A  B    C- 8,-. ' L  ;81<9= :%1 e;* " # $e<*+ , EQ@HR#/  38+1'   R  6FH(H,/0H, ,H' H HF‰HH ' 0HH' HF‰HH H H,/0H,HH D ‰H‰H HH &FH‰H :Q)3 :C8.' Q1R  :/!<, 1R   *+ :/ (Q+9/8  * : 3< <, 1R /18L6 
  88. ;81   8*( 9 %?*@ * σ  β  =    ∑  −   :( ;81<9= 67.A 018.' Q Bα EAβ EUE Aβ :U: A  * JEBα EAβ EUE JEAβ :U: JEA JE )*"C+ Q   EBβ E UE UE EAβ : U: U: EA  E % Q Δ Bβ Δ iC Dβ Δ iC DE C :
  89.                         6 FH ‰H  H H  H H H ('b‰+H (FH (FH ()H ,H-cF  fH "#g% . /Fd H )H () H Fe‰H ('b‰+H (FH (FH ()H ,H -cFH H Fe‰H ()(H *+H (,HH :
  90.   /‰H HFe‰H '-‰+H('b‰+H(FH(FH()H ,H -cF   H  f)H() HFe‰H('b‰+H(FH(FH()H ,H-cF  f)H *+H (,H ('b‰+H (FH (FH()H ,H -cF   !"# ./ H hH0,H12H3‰H4FHFH8HFd‰H 5i‰+H-jHFd‰H(,H 6H7H8 H Fd H *Fe1HH6H+FH-3‰H HFd‰H+FFH hH.H8 H H‰ (H*H0,‰+HH6H +FH-3‰ 
  91.  !"#               F ^    ^^ ^  $     ^^ ^  ^ ›  !"# 3‰H96HiH  ,H Fd H*Fe1H 5‰+H 3‰HjH*,‰H':‰+H ;‰+H  H-6H0iH-6‰+H +F?H Fd H*Fe1HH k‰+H6H+FH-3‰H (iH :FH1>H Fd H*Fe1H 5‰+H3‰H *2‰+H ,H-cFH @FH1FH1>H H‰ (H lA,H8 H 5'B‰+H-(HH('b‰+H(FH(FH ()H‰FHH*2‰+H-cFH,H('b‰+H(FH ‰+H‰ 8 8 F H Hσ 
  92.  !"# "5i‰+H 3‰H 96H 1>H -6H 0iH -6‰+H +F?H Fd H *Fe1H H k‰+H 6H +FH -3‰H (iH :FH1>H Fd H*Fe1H 5‰+H3‰H ,H -cFH <iH H‰ (HlA,H8 H 5'B‰+H-(H ('b‰+H(FHH(FH()H ,H-cFH 8 8 F H Hσ F   %&'(!) *+,!-.%/+0#!+'120              !  " #$ %&' ( )*+, - (   ./0"0 &   1 2
  93. %&'(!) *+,!-.%/+0#!+'120 34/( 5 1 ( 461 474  8 9 4  :&: 1 1 47;(1   1   ?;( $0@6.A  B "(";( 4C< D !* E 0F  9*  ( )* ( G6  $ < H 3&4& *+,!-.%/+0#!+'120 6 :H 8'-‰+H H ‰H ,d‰H h‰H *2‰+H eH‰'‰+H *2‰+H (FH 8 H ':H 8'-‰+H FeH H  3H ('b‰+H (FH *2‰+H‰H‰  8 :H 8'-‰+H ('b‰+H (FH H ':H 8'-‰+H H‰3‰H ‰+H (H H e IJ
  94. 3&4& *+,!-.%/+0#!+'120 .Hf)H*i‰+H F‰H ,H H*F1H-‰H+FH ,d H 2‰+H 'B‰+H0H 5=‰H(A‰H ()FH H H  H(H *2‰+H ‰H -)‰+H F‰H  ,H‰?H # K A L β −β  =    β  II 3&4& *+,!-.%/+0#!+'120  iH(H0,‰+H':H8'-‰+HHHHHHHHHHHHHHHβ  8 HHHHHβ  HHHHHHHH‰=‰H*2‰+H-1HiH H A‰H <iH,H8 H(A‰H()FH ( 0<‰ H *d HH*F1H-‰H*2‰+H‰H F‰H  , N" ;(.O1 $ P (;(Q   , .% 1  :  ! RST 5 * E $ 8   IM
  95. 5 !-.%,!6,,!6#!07,!-.%/+0#!+'120 'b‰+H()(H-‰H h‰ 8 H iH‰H H ‰H-H‰+F=‰H > . . H‰HeH+F?HFH F=H F=H0+‰+H(iH :FH H‰ (H('b‰+H (FH(‰H0'HHFH F=H F=H0+‰+H jHH':‰+H ;‰+H <iH H‰ (HiH -jH-)FH :FH)H1H-FH 5H 'b‰+H H‰+'BFH HjH*,‰H':‰+H+FH -‰H('b‰+H(FHH‰FH ,H-cF I
  96. 5>?@AB#1C#!D *+,!EF- " • * % • • • • • ( • • • • • • • •   ?;( :  ! • • • • • • • • • • • • • • • • • • ••• • • ••• • • •• • "0  )* I› 5>?@AB#1C#!D *+,!EF- ( ( D>  D> B B. •  •  • • • • • •  • ••• • • • • • • • •  • • ••• •• • • •••• • • • • • • • • • • • • • • • • M " • • • • • • • • • • • • • • 1   • ••• • • • • ••• • 0F  • ••• • •  M •• • 1   • • • 0F  • •  $ •   5      ( 6< 6<  ( • • • •• ••• • • • • • • ••• • • • • • •••• • • • • • • • • • • • • • • • • ••• • • • • • • • • • • • • • • • • • • • ••• • • • • ••• • • • • • • • • • • • • • • • •   6 < 6.< I
  97. G`0H@1D! +IJ 8 5*HiH5‰+Hσ F H8 H16 H 1H()H‰ iH -jHHFd‰H+FFH hH. 8 Hσ F H H/6H,H/88‰-.FH-,H FHH 5i‰+H -jH FH8 H(‰H(FH()H‰+H‰F=‰H 8 )3Hσ F HH'HFd H5*H-H‰+H(H 8 8 0,‰+H8‰<F H ,HiHσ F H H@,H12H 3‰H4FHFH( 8 8‰<F H H/6H, /8H8‰-.F-,H FH. 8 <F H-'-H H  (H kH12H3‰H4FHFH+) I G`0H@1D! +IJ f)H':HH*F1H-‰H5 f@,H 1H4FHFH+)Hβ Iβ M     8H"kH 1H4FHFH h‰HHHHH(‰H0'H<F 8 H8‰<F .Hf@,H 1H4FHFH.H(H0,‰+HFd‰H +FFH hH H  1H 4FH FH ‰H -H /dHjH‰FHFd‰H+FFH h H@,H4FH FHiH k‰+HFd‰H+FFH h H-jH,H @,H 4FH FH 12H 3‰H :FH Fd‰H +FFH hH8 I2
  98. G`0H@1D! +IJ H F1H-‰H+FH ,d H0*H18H H0 >H *2‰+HjH('b‰+H(FHH(FH()H ,H -cFH/dH+FH ,d H0 HH)HH12H 3‰H +)H jH ('b‰+H (FH H (FH ()H ,H-cFH H/dH +FH ,d H 0 H-'-H  (H‰ ‰H /6H 5i‰+H12H3‰H.HjH H-'-H<1H 8 H +F)H 5H ‰+H H ('b‰+H (FH H (FH()H*2‰+H-cFHσ 8H IH K`0H@1D!a?b/?I "'b‰+H H‰'H *F1H -‰H 5 H H *FH H  (H -'-H (‰H 0'H kH 12H 3‰H 4FH FH +)H "8<#(<5H -H‰+H @,H 4FH FH -H <F H-H <iH Fd‰H .H‰ iH 8 1 HjH‰HeH2 HH :FHσ F H "8<#(<5H -H  H 16 H ()H 0@‰+H  1H 4FHFH(* H-<F-H H/6H,H/8.FH,H F                 MJ
  99. K`0H@1D!a?b/?I                          /dH +FH ,d H 0*H 18 H H0HH )H H 3H jH H jH Fe‰H '-‰+H ('b‰+H (FH (FH()H ,H-cF MI K`0H@1D!a?b/?I  F1H -‰H "8<#(<5H jH 16 H ()H ‰H -H ‰'H*F1H-‰H5*H‰'H(FH()H F 5i‰+H )H12H3‰H4FHFHjH+F)H 5H*3H ‰+H *)H*2‰+H‰jHjH 'b‰+H‰H4F  H H 12H 3‰H -H iH *d H H ) H *FH (H0,‰+H   H8H12H3‰H(H(FH ,d‰H h‰H 1H ()H*2‰+H(H0,‰+H H-'- iH ,H *F1H -‰H "8<#(<5H -'-H 0+‰+H -H5‰H-i)‰H-)FH :FH‰?‰+H1H8:‰H MM
  100. c`0H@1D!:aFd?aFe&+F#   G $ >  ?;(( β Iβ M ( M ,σ   5;( . E&:"   1 (  M M M M σ  σ   405σ      #1  :  O  07   . . (.  (  T*+"* 1 ;(1    O  .&'1 47 "  M c`0H@1D!:aFd?aFe&+F# /HH‰H( H6H+F?H <iH H (* l)FH :FH12H3‰H8HFd‰* H HH‰dH7H1H*i‰+H‰H H .08 H H60H‰dH7H1H*i‰+H‰H H!0H HFH()H‰H() H‰H8@FH  ‰H8H ‰j1H 5i‰+H-jH14FH‰j1HjH‰H%H 98H‰H() H M
  101. c`0H@1D!:aFd?aFe&+F# H 0,‰+H ('b‰+H ()(H H -H ':H 8'-‰+H 1H ()H H )H  1H 4FH FH -)FH :FH‰H%H98H‰H() H-H H)F8H h‰H: H H: H 'b‰+H>‰+ 6 8  − − / H H0iH 'b‰+H>‰+H8 HHHHHHHHHHHHHHHH *H8 H )H 1H()H-'-H':H8'-‰+H*HHeH ()H2‰ M› c`0H@1D!:aFd?aFe&+F# 6 "h‰H ;H()H        λ A‰H  1 8 (" DJB  * E  0F M
  102. `0H@1D!!0#?  (F <H -<H -H‰+H 16 H ('b‰+H ()(H *2‰+H ‰H -FH FH  HjH (A‰H ()FH 5‰H  ./ H12H3‰H4FFH(* 7FH Hβ 6H,Hβ 8.8FH,Hβ FH,HF /':H6*H :H8'-‰+H12H3‰H 5=‰H‰+H H H-'-H)H(‰H0'H<F /':H8* :H8'-‰+H16 H 5i‰+H)H12H 3‰H(H 8 8 <F H Hα 6H,Hα 8.8FH,Hα FH,Hα .8F H,H 8 α  F H,H 8FH6 M `0H@1D!!0#? , 8 8 <F H H α 6 H,H α 8.8F H,H α F H,H α .8F H,H 8 α  F H,HHHH α !.8F FH,)8FHHHHHHHHHHHHHHHHHHHHHHHH HHH8 6H H8HjH HjH()H1=HiHb‰H ‰ H Fd H (FH jH eH ()H 2‰H  H *H12H3‰H+)HjH,H*2‰+ :8 H8 H eH ()H )H -‰H 6FH H -'-H kH 6H :FH 12H 3‰H *2‰+H jH ()H @‰+H /iH ,H 8H :FH 12H 3‰H jH ()H @‰+H/i M2
  103. `0H@1D!!0#?  /':H. l2 H""Hi*Hα 8 H Hα . H Hα  H Hα  H H0H 6 α 8 H H α . H H α  H H α  H H α ! H H0H 8 "'b‰+H -'b‰+H 0*H ('b‰+H (FH H (FH ()H *2‰+H-cF  ‰:8HjH(A‰H()FH (H>Hχ 80$H :FH0$H ‰+H()HeH()HH12H3‰H6H H8H *2‰+H*HeH()H2‰H MH `0H@1D!!0#?  (  ;(" 07 ‰:8HH? χ 80$*H (H‰ ‰Hi ‰:8HHχ 80$*H)HHiH,HjHFe‰H '-‰+H('b‰+H(FH(FH()H ,H-cFH J
  104. K07,!6,J! ,!    σ  #5$ >  ?;( F M" α Iα M ( M  , 4  * E    σ  0 "    * E ;( 1  0 " B   &"  $ >   σ 0"   ⎛  ⎞ ⎛  ⎞   = α ⎜ ⎟ + α ⎜  ⎟ +   ⎜ ⎟ ⎜ ⎟ σ  ⎝ σ  ⎠ ⎝ σ  ⎠ σ  I 5  I-%!,1 ;0 #σ 0 FH-jH ⎛  ⎞   σ  ⎜  ⎟ =  =  = ∀ ⎜ ⎟   ⎝ σ  ⎠ σ  σ  "5i‰+H H dHFH14FH‰H() H7F H H .FHiHσ FH-<HFd H H@,H4FHFH H iH0?H8FeH-<H-'-H,‰H-cFH‰ ,H :H8'-‰+H HHα 6H Hα 8H-'-H h‰H <iH)H‰ ,H-'-H+FH8 H':H8'-‰+H 3‰H ('b‰+H /H‰ H jH 5‰+H ()H ( 8H14FH‰H() H7H H.H-'-HF iH 5‰+H ()H -6H 8eH 5‰H H M 5F=‰+H‰jHσ FH
  105. 5 5 I-%!, !-+;0 #σ 0 "5 ' B ‰+H-(H6* H!    23!45H E E 9CD Cσ F fFHFH dHH12H3‰HiH;‰H H  > FHH.FHH :F      = α + α  +         = α +α   +     5 5 I-%!, !-+;0 #σ 0 N 05 ⎛  ⎞   ⎜  ⎟ =  = σ  ∀ ⎜  ⎟  ⎝  ⎠   &  8  !"#$I%&8'#(#( )* 
  106. 5 5 I-%!, !-+;0 #σ 0 "5'B‰+H -(H8*H!       2GI! P23!4 5 E E E 9CD Cσ F fFH FH dH H 12H 3‰H iH .F H :FH .F  ⎛ ⎞  ⎛ ⎞ @0 = α ⎜ ⎟ +α +  =α ⎜ ⎟ +α +  ⎜ ⎟  ⎜ ⎟     ⎝   ⎠   ⎝   ⎠ FH-j*H ⎛  ⎞   ⎜  ⎟ =  = σ  ∀ ⎜ ⎟  ⎝   ⎠   › 5 5 I-%!, !-+;0 #σ 0 "5'B‰+H -(H .* H!      2GI!P!Q9RST U!PV E 9 CD C E E σ !DV"        =  = α +α   fFHFH dHH12H3‰HiH 7FHH :FHH 
  107. 5 5 I-%!, !-+;0 #σ 0  + :  ! $ >  ? ;(   * E* 1*RST α Iα M (   H h‰H  /Fd‰H-cFH12H3‰H+)H H0@‰+H‰'H(*H     = α +α  +           5 5 I-%!, !-+;0 #σ 0  +:  ! ?;( 4L. $  +1   6Y#  @  %&' 6" <&)B * G* " 0F 4L 5  . 0 !    !/( E0 : N 05 ⎛  ⎞   σ []()  ⎜  ⎟ =  =  ≈ σ  ∀ ⎜  ⎟     ⎝   ⎠     2
  108. 5 5 I-%!, !-+;0 #σ 0 ` a!+7 .A A$ >  3 &> :  !$ >  ?;( B :  !$ >  ?;( α Iα M  ( 3>  4A * E     $ 0?    # :   L 4C E  &: $ >  &> 0 !  4  5B0 : 1 "7$G A% H WX FH‰+F=‰H>H12H3‰HjH‰FHFd‰H +FFH hH 3H FeH ‰H Fd‰H ‰ iH -H Fd‰H -cFH ‰H (FH -'-H  H-)‰+H F‰H ,H*FH7H1H 8:‰H0iH-jHA‰+H H(FH5‰H  ‰H*FH +FFH hH )H *d H H 0H 5=‰H )H (/(H Fd‰H -cFH *J) ‰H 5i‰+H )H
  109.               6 FH ‰H  H H  H HH 0H [\‰*H‰ 3w4H 5^-.  F7 H +H 8+ H F,‰H 0H [\‰*H ‰H H F,‰H 8+8H1]H82HH M
  110.    ‰H  H F,‰H [/‰*H F,‰H [/‰*H 0H [\‰*H ‰H   H  4+H8+ HF,‰H 0H [\‰*H‰H  4+H1]H82H 0H [\‰*H‰H   !     5x0‰*H12H3‰HyFHFH 47‰H 5‰H6H _F‰`H*FH_a‰Hx7‰*H12‰*HjH [\‰*H ‰H*F8H+H9FH9:H‰*;H‰Fb‰HF`H ‰* 0 ?F`HcdH@Hz ?FH≠ Hcd 54H‰Fb‰H x0‰*H 0H 7HjH He4HxH F,‰H [/‰*H1 H9FH9:HH+H‰H 9+ H=fFH82H AH‰`H‰* H 0 ?F`HcdH≠ Hz ?FH≠ Hcd FH_jHe4HxHF,‰H [/‰*H 0H [\‰*H
  111.  ! xzxpqy{|       # ^ ^  !"#     $% &    ^ ^   • • • • • • • • • • • • • • • • • • • • • • •  • •  • • • • • • • ')( '(   • • • • • • • • • • • • • • • • • • • • •  •  • • • '$( •• '*(  • • • • • • • • • • • • • • • • • • • • • ••• • •  '( +,-./0 *1) 2 3$4 5&  
  112. "#$ %      ^  +‰H 5‰>H+HFH FH*F‰H1‰*H 5‰HH1`H>H$$%   6&   789:;$ 6?  6?@   6"=A16B?C$4$ $4    "&$DA0  5 7&  B  Eβ .Fβ GH.F  I0 5B 3*JK& L 61 ?M0$ N? $  3 3*JK& L  "$ DB O E β . F β G F β PO. F  "#$ %     ^  + 6$ H H9j HF7‰`H f‰*H 1H9F  :R?0  1   6
  113. &'()*+,"( S?*MTU ,V$D$$NB O$"$"=$6$"  6' ,?"# Q?( :"# $4$$"$"=$$"$ "= $6$; , N $$  A     $ 6  &'()*+,"( "$"=$6$$4σ  G G $4 A   "$ "= $6$ '*" ( $4G  O$*!) 7 $ $ .
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  115. 12"34567 8)19:;  3*$49 )  ∑ −   =  −  ∑ ∑     4,*≈ G'.Hρ (   ρ =  −  ∑  *H.ρ .;3 E*EB ρ EH.E*EB!"#A ρ E E*EGB$D!"# ρ E.E*E B!"# *"#  12"34567 8)19:;  39 ) $   1*  *U*! PA B B AC$ B  ) 2 0$N?$4A, B   OD! $D  "#  !"# 2 OD!  2  )N$  "# *"# "=$ ? "=$ A * U * GH* H*U .
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  117. 12"34567 8)19:; G+ Bρ E %+.Bρ  #2*H*B)$)Q+  $??N+. '  AC$α (;$D!"# A $D!"#A OD!"#A H* .& 12"34567 8)19:; P+ Bρ E %+.Bρ ' #2**($*H*B)$)Q+  $?? N+.'  AC$Gα (;$D! "#'A($*"#( OD!"# $D! OD!"# *"# "# A * H* .-
  118. 12"34567 8)19:;         !"F#$%"& '("$)$%*+"F, -).b" c,  H@Hρ  6H H   "F"d).e,fgh,ip q"F)$,.,er$$s . 2"34567 ; 98<# )RA,B Eβ .Fβ G)F '-.( Eρ .H.Fρ GHGF@Fρ ?H?F   A   2 + Bρ .Eρ GE@Eρ ρ E ;$D *1 !"#K)?L)N$   +)N$. 2)N$? ,
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  120. => ?/ @ O$)"$ 2 ,$"=  ρ 9J  ρ  + "=$"$"= $ A,*  GP => ?/ @     ! "#:"#??8U B   HH!* )N$8`H?8d Eρ .H.Fρ GHGF@Fρ ?H?F   ρ B6 !"#%⎢ρ ⎪.  FH9H H 0HyFHFH H‰ H?6d  H@Hρ  6H H ?d B    3' 5 !(;QA0   $4TU B G 1'(E %  '(Eσ ε %O ';F(E
  121. => ?/ @ )RA, ) 2B Eα .Fβ .F '-G( #2'-G( 2  ,$3 2  . H.Eα .Fβ .H.FH. '-P( #  2$4'-P(  ρ  ρ H.Eρα.Fρβ.H.Fρ H.'-( 5xHH?dH0H?d 4 H Hρ 4 6HH@Hα 6?6H Hρ dH Hβ 6H?e H Hρ e HH6dH H? H H ρ  HH6dH @ α 6?6 ρ d β 6 ?e ρ e 6d => ?/ @ ?dH*FH= H8[\‰*H x3‰H9FH8‰H 6‰*H +  > α 6H@Hα 6H?6H Hρ d β 6H@Hβ 6 4 H@H4 H Hρ 4 HH6 e HH@He H Hρ e HH6 FH_H?dH  ‰ 4 H@Hα 6H Hβ 6e H H ?d
  122. => ?/ @ ,A0$$  $4?"# ??TU 3$$"$"=,A "=$ U1 :"# ,*  4 "=$  ?"# , ?  '8  5*U  8U ( I A?AA0; $4  "=$) 2 "B  =  − ρ     =  − ρ &' ρ   G. - !" $)t"cp #2ρ E.; ?"# ,  ? '-6( .Eβ .'.(F'.( Eβ .'.(F +B Δ Eβ . Δ F '-7( '-7( ?"# , ?$??. Δ  $ ?$??. $*MA,*   $1 0  "$"=*  '-7(
  123. G.:"#?? ?$??. 8 $A,)  Eα .Fβ .Fβ GF '-&(   D , ) 22  A,!*  )N$? !$ 6?R?) 2  ?$??.   '-&( Δ Eβ .Δ Fβ GF   DBΔ E. Δ E. G.:"#?? ?$??. #2ρ EH.; ?"# ,  ? '-6( F.EGα .Fβ .'F.(F +B  +   +     − = α + β'  − +  4( &      /,4 A,*   ),  "=
  124. GG,$"=ρ *! 3 3*H9 ) H  8  ≈−ρ  ρ ≈− & I   $$A Q$D$*M  3*$ ) 3$4 #   −    +   ρ =  −   9J  ρ  + "=$"$"=  $   6"A,-6 GP5H 2H=8H40x‰ HH!x H_H[H =[/‰*Hρ 8 $$DA, ) 2 Eα .Fβ .F '--( /,!"#)N$?8'.( Eρ .F '-( O$)"$"$"=ρ [H6>H H=[/‰*H12H ‰H?dH7‰*H 8[\‰*H8 8H!"H H H_[/H H8#‰H [H H
  125. GP5H 2H=8H40x‰ HH!x H_H[H =[/‰*Hρ "$GB $*M$$?*" "$ "=*  B   = ρ− +  '-. ( 9"$"= $4!$3 "$"=ρ $D$ρ !$ "$PB $*M "=$+'-. ( ρ "$"=?"# , ?  '-6(      − ρ − =α  − ρ + β   − ρ −  + − ρ−  +4Eα .4Fβ .44F '- ( GP5H 2H=8H40x‰ HH!x H_H[H "$=[/‰*B,$") 2 "=$+'-. ($DHρ ρ ? "$"= ?$4ρ 3 2  "$"=$4α .4 β .4+'- (  *   $'--(  "=$$$?*"A 4B 4E'α .4Fβ .4( '-.G( ,$"=?"# ,*  "#!   '-. (  = ρ +  − '-.P( '-.P("$"= G$4ρ  4M$ 2ρ M$$ 2 $$"$"= 2 2?$4ρ $A0"= ?Q; $91Q# ; 6($ ; 6
  126. G:"#??9 ) G)"$ "$ "=ρ  21 ?"# , ?  Eα .'.Hρ (Fβ .ρβ..Fρ .F '-.( 4M$9 ) G)"$ "$ "=ρ B "$.B +*  '-.(;. . )A  "$"=6 *  $4 ρ  .'E("$"=$4ρ G:"#??9 ) G)"$ "$ "=ρ "$GB   "=$;ρ      =  −ρ −  =  −ρ − "$"=*  '-64(  $$) 2 0 "=$) 2 " 3
  127.            6 EFGnHHnFGoHpHH  H H  H   EFGH HF H HFH  H H  G
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  129.  !"# $%&'&( 9:; ? *+.","4 $ % % )*+*, % &-% =
  130.  !"# $%&'&( :A  "  B .% )  )  /+*,%0* 1  )  /+*2   2! )  /+*%23 % 4  %' 56 %  7 8%+*  *  $ 9 '2!  ) % @ )*+ H * H FH H!H"# H$ F%H "&$H * H'$HH -  (FH)H*+H,H*-.FH,H*.F H,H*/.F H,H0+F  E1H23H*FGH40H5 $H6.F 7 - 8H(FH)H+H,H-.FH,H.F H,H0-F :9H*FGH $HF:H40H*#H H  H / 6.F 7 -  / (FH)H+H,H-.FH,H.F H,H/.F H,H;.F H,8H0F <&$H * H2F C -  8H(H)H$+H,H$-.FH,H$.F H,H$/.F H,H0/F
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  132.  1047!* 89:*; <?&@ M%    M 9% ' #  M ;9%!I12PQR '    ( Q ' , 7+ ;)%!I12P(R '    ( ( ' , 7+ ;%      −     −   −   − = =     − −    − 99  1047!* ;L%S ,3"5K 0"  '"  S P  R 12G I12 E1P  R%, ,<MK  PQR" , E1P  R% #M x9*%y%9+*€ *‚ (+*ƒ +*9   * E1α %; ,<M E1α %#M 9)
  133. ? 104?AB-? .< ( -) 4"(   (  2% ;?5 9%4"A ?5 ?$"  β 9β )N)1 '  *()  +7 ;?5 )%74"A ?5 ?$"   = β + β    + β  + β  + + )  (  "3M%β  β L  β  M  ? 104?AB-? .< ( -) ;?5 %   −    =    −     − % I1   %   S+"5 % ,? J*+ 
  134. ? 104?AB-? .< ( -) ;?5 L%12G I12 E1α P R%; ,<MK    β β L β "!","M ,< ', E1α P R%#M x9*%y%9+*€ *‚ (+*ƒ+*9    *… E1α %; ,<M E1α %#M / "3  1!  1 4") 2 SI1 ;S  "3M%1 '  1! ⎡   −  ⎤  = ⎢ + ⎥ ⎣  ⎦ ∑ − ∑ − =  =     ) E1; ; ,<M"?$ F #M 0
  135. 8:J1 1!   =-%H =-HF0H > %H ?FH5H!H * H @HAH#$BFCF ##"H 6D7% F:0H 0EH $HFHFFCH6F7%H F:0H 0EH $HFH 5H67 9@ J1 1!() ()+?"","  ?$ "3  ,# NS+": () *""9 *"4$: A?10%  () $+?" 4$S+"&1   + ()".    1 ,H1 3"" 1:  ()""36"J, : 9C
  136. J1 1!()-1 $P⎯()R   −  −   =− =−−     − −  ⎯() ≤ ():⎯() $6"" S12  " S  ,?$ J*+ 5(9: ()*J1 1!(():  ,H1  "3"" 1: 9D ?FH5H!H * H @HAH#$BFCF ##"H 6D7   = − σ  − π − ∑     ) SA *"5 K"< *" 4$ )M
  137. J1 1!"* P*+R ⎛  ⎞  = ⎜ ⎟  ⎝ ⎠  2 ⎛  ⎞ ⎛  ⎞   = ⎜ ⎟ + ⎜ ⎟ ⎝ ⎠ ⎝ ⎠ S+"'* ,?$ ?5 ?$" P"! 3 7+R** ,&1: ) S*+ *"< K"< *"4$: )9 J1 1!"  S-P R ⎛  ⎞  = ⎜ ⎟   ⎝ ⎠  2  ⎛  ⎞   =  +⎜ ⎟ ⎝ ⎠  G(*+:   *"< *": ))