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Maximum Likelihood Estimation of Dynamic Linear Panel Data Models with Fixed Effects

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(1)Department of Economics Maximum Likelihood Estimation of Dynamic Linear Panel Data Models with Fixed Effects Hugo Kruiniger Working Paper No. 458. June 2002. ISSN 1473-0278.

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(37) e. hLLu Lu AiLhi4. Ai 6#w, uLh w t M@ti_ L? @ hi}*@h *!i*LL_ u?U|L? E|L| ?U_i?|@* T@h@4i|ihtc U t _gihi?|@M*i @| o7 '  Etii *i44@ 2 AihiuLhic | uL**Lt M) t|@?_@h_ @t)4T|L|U hit*|t |@| |i 6#w, uLh w t UL?tt|i?| i|ih  $ 4 Lh A $ 4 R 6Lh L?| c A UL?tt|i?U) Lu we8 (u c i we8 (u $ w @t Ec A $ 4 EL?|*)c | t  R  S tUi?| |L tL |@| A |odE(T Eo( 3 (+ + ( o $ j 2 @t Ec A $ 4 wi| fcA ' '   3   |odE(T Eo(  (+ + ( o W|   A 3 2. t i@t*) tii? |@| |i h@?_L4 @h@M*it fcA *j 2 @hi _ 2. @UhLtt  ;Ac | .EfcA  ' j ;A  5?Ui +c| t B@tt@? | €?|i 4L4i?|tc @** 4L4i?|t Lu fcA i t|c @?_ |ihiuLhi fcA t ?uLh4 u2 ML?_i_ TT*U@|L? Lu |iLhi4 2f _. ? #@_tL? Ebbe )i*_t |@| nfcA n t ?uLh4*) ?|i}h@M*i ? A LhiLihc fcA $ f | f ' j 2  5?Ui @** |i UL?_|L?t Lu ULhL**@h)  ? **Tt @?_ LL? Ebbbc i?UiuLh|  S R fcA $ j2 @t Ec A $ 4 c @hi t@|t€i_c i UL?U*_i |@|  '. W| t t|h@}|uLh@h_ |L LM|@? |i *@h}i Ac € i_  @t)4T|L|U _t|hM|L? Lu we8 (u  `i ** |ihiuLhi uLUt ? |t @TTi?_ L? |i L?| c A @t)4T|L|U _t|hM|L? Lu we ' we8 (u  Nt?} hit*|t uhL4 @}?t Eb.Hc i LM|@? |i uL**L?} A@)*Lh i T@?tL? Lu we @hL?_ w G k l S S 3 fD e CEwc +    MEwc +  f '  3fD    E A  Ew  wn ' ' l k S  3 fD e h h e  ' 8 Ewc wc +  E A  Ew  wc ihi w t @ UL?i UL4M?@|L? Lu w @?_ wc 2   S  CEwc +  ' 2 A 3fD $rc| A Elrc|  {+crn {+c|n  Y dlYw orc| mw EThi4*|T*) M) Ah ?t|i@_ Lu 3. A 3fD U2 i? o ' c  2   S 3 dl orc| l  mw  2A Ed _eS MEwc +  ' 2A $rc| A Elrc| {+crn {+c|n  Y YwYw _w mw o El EThi @?_ TLt|4*|T*) M) Ah ?t|i@_ Lu A 3fD U2 i? o ' c @?_ 3. . . 3. l l d _eS _w mw o . h +  ' Ewe  w g& Ewc h + c & ' c 2c ihi 8&c Ewc wc h +  t |i !| hL Lu 8 Ewc wc h +  @?_ 8&c Ewc wc h +  ' EA 3 Y ,E(+ (ocj2  m h EThi @?_ TLt|4*|T*) M) Ah ?t|i@_ Lu A 3fD U2 i? o '  g& Ewc YwYw Yw& w h +  @hi _ @UhLtt h h w -Ew W| t i@t*) tii? |@| g& Ewc wi| w Mi tU |@| _Ewc . h +  i t|t ;A  LhiLihc | uL**Lt  ;A  W| uL**Lt uhL4 ihUi Eb. |@| .Eg& Ewc    h +  uhL4 *i44@ e |@| g& Ewc  t ?uLh4*) ?|i}h@M*i ? A wi44@  |i? 4T*it |@| q r S h E 3  ' g& Ewc +  t ?uLh4*) ML?_i_ ? ThLM@M*|) @t Ec A $ 4 At hit*| S R h @?_ UL?tt|i?U) Lu we 4T*) |@|  3  ' 8 Ewc wc +  $ f @t Ec A $ 4 W| uL**Lt |@| k l 3 S S _ E A fD Ewe  w   3  MEwc +   3fD   ' ' CEwc +  $ f @t Ec A $ 4c |@| tc e.

(38) k l3 S S 3 3fD e E A  Ew  w @?_  MEwc +    ' ' CEwc +  @i |i t@4i L?| c A @t fD. )4T|L|U _t|hM|L?t `i ** _ihi |i L?| c A @t)4T|L|U _t|hM|L? Lu we M) @TT*)?} tL4i hit*|t Lu  S  wi| tcA ' CEwc +  ' A 3fD i 2 $rc| A Elrc|  {+crn {+c|n  Y dlYw orc| j Ai? |i uL**L 3. ?} hit*|t U@? i@t*) Mi ih€i_G |i tcA @hi _ @UhLtt  ;A c | .EtcA  ' fc @?_  _eSl  3 2A Ed _w mw o El. 3. l l d _eS _w mw o( *4 ?u A b4? ExA  : fc ihi b4? ExA  t |i t4@**it| i}i?@*i Lu xA ( @?_ *4A <" xA Ew ' xEw 6h|ih4Lhic t?}  .EtcA tcA  ' xA Ew '. . t4*@h @h}4i?|t @t @MLic | U@? Mi tL? |@| ntcA n2 t ?uLh4*) ?|i}h@M*i ? A  S _ Ai?  3fD tcA $  Efc xEw M) |iLhi4 Lu  ' S R i |c i ** tL |@|  3  ' MEwc +  $ x @t Ec A $ 4 wi| ~cA Ew ' MEwc +  n xA Ew W| t i@t*) tii? |@| ~cA Ew @hi _ @UhLtt  ;Ac | .E~cA Ew ' f ;A  _. LhiLihc n~cA n t ?uLh4*) ?|i}h@M*i ? Ac @?_ ~cA Ew $ f M) *i44@   S R Ai? | uL**Lt M) ULhL**@h)  ?  |@|   ' ~cA Ew $ f @t Ec A $ 4c |@| tc 3 R  S  _eSl  3 l l d _eS ' MEwc +  $ *4A <"  2A Ed _w mw o El  _w mw o ' xEw @t Ec A $ 4 _ W| uL**Lt M) h@4‚ih<t |iLhi4 |@| E A fD Ewe  w $  Efc dxEwo3  @t Ec A $ 4c       o2 f H f 3 7 3 u w 5 Xo  Efc 4 @?_ dxEwo ' u w 5 ihi dxEwo ' f 2je f 2j e . . XLo  Efc 4 . D.

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