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10.0002400736{main}( ).../doku.php:0
20.0029402096require_once( '/net/www/gmelanco/dokuwiki/inc/init.php' ).../doku.php:34
30.1151480704Doku_Event_Handler->__construct( ).../init.php:216
40.1288572088plugin_load( ).../events.php:164
50.1288572088Doku_Plugin_Controller->load( ).../pluginutils.php:45
60.1288572136class_exists ( ).../plugincontroller.class.php:95
70.1288572136spl_autoload_call ( ).../plugincontroller.class.php:95
80.1288572136load_autoload( ).../plugincontroller.class.php:95

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10.0002400736{main}( ).../doku.php:0
20.0029402096require_once( '/net/www/gmelanco/dokuwiki/inc/init.php' ).../doku.php:34
30.1151480704Doku_Event_Handler->__construct( ).../init.php:216
40.1288572088plugin_load( ).../events.php:164
50.1288572088Doku_Plugin_Controller->load( ).../pluginutils.php:45
60.1288572136class_exists ( ).../plugincontroller.class.php:95
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80.1288572136load_autoload( ).../plugincontroller.class.php:95
90.1308574680require( '/net/www/gmelanco/dokuwiki/lib/plugins/divalign2/action.php' ).../load.php:140
100.1322575272require_once( '/net/www/gmelanco/dokuwiki/lib/plugins/divalign2/common.php' ).../action.php:12

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10.0002400736{main}( ).../doku.php:0
20.0029402096require_once( '/net/www/gmelanco/dokuwiki/inc/init.php' ).../doku.php:34
30.1151480704Doku_Event_Handler->__construct( ).../init.php:216
40.1288572088plugin_load( ).../events.php:164
50.1288572088Doku_Plugin_Controller->load( ).../pluginutils.php:45
60.1288572136class_exists ( ).../plugincontroller.class.php:95
70.1288572136spl_autoload_call ( ).../plugincontroller.class.php:95
80.1288572136load_autoload( ).../plugincontroller.class.php:95
90.1308574680require( '/net/www/gmelanco/dokuwiki/lib/plugins/divalign2/action.php' ).../load.php:140
100.1322575272require_once( '/net/www/gmelanco/dokuwiki/lib/plugins/divalign2/common.php' ).../action.php:12

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10.0002400736{main}( ).../doku.php:0
20.0029402096require_once( '/net/www/gmelanco/dokuwiki/inc/init.php' ).../doku.php:34
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40.1591749664trigger_event( ).../auth.php:109
50.1591749824Doku_Event->trigger( ).../events.php:238
60.1591749824auth_login_wrapper( ).../events.php:111
70.1591749824auth_login( ).../auth.php:177
80.1591749848auth_logoff( ).../auth.php:265
90.1592749848setcookie ( ).../auth.php:495

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10.0002400736{main}( ).../doku.php:0
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30.1833840592trigger_event( ).../actions.php:197
40.1833840752Doku_Event->trigger( ).../events.php:238
50.1833840752act_sendheaders( ).../events.php:111
60.1833840752header ( ).../actions.php:210

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10.0002400736{main}( ).../doku.php:0
20.1830839416act_dispatch( ).../doku.php:124
30.1875841968include( '/net/www/gmelanco/dokuwiki/lib/tpl/dokuwiki/main.php' ).../actions.php:199
40.1875841968header ( ).../main.php:12
miage_solution:solution_kodja_markov_2_etats [Guy Melançon - Enseignement]

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miage_solution:solution_kodja_markov_2_etats

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miage_solution:solution_kodja_markov_2_etats [2017/01/08 19:42]
melancon
miage_solution:solution_kodja_markov_2_etats [2018/01/21 20:13] (current)
melancon
Line 20: Line 20:
  
 $$ $$
-P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \X_0 = 0 \X_2 = 0)}{P(X_0 = 0 \X_2 = 0)}+P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \cap X_0 = 0 \cap X_2 = 0)}{P(X_0 = 0 \cap X_2 = 0)}
 $$ $$
  
Line 26: Line 26:
  
 $$ $$
-P(X_0 = 0 \X_2 = 0) = P(X_0 = 0 \X_1 = 0 \X_2 = 0) + P(X_0 = 0 \X_1 = 1 \X_2 = 0)+P(X_0 = 0 \cap X_2 = 0) = P(X_0 = 0 \cap X_1 = 0 \cap X_2 = 0) + P(X_0 = 0 \cap X_1 = 1 \cap X_2 = 0)
 $$ $$
  
Line 32: Line 32:
  
 $$ $$
-P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \X_0 = 0 \X_2 = 0)}{P(X_0 = 0 \X_1 = 0 \X_2 = 0) + P(X_0 = 0 \X_1 = 1 \X_2 = 0)}+P(X_1 = 0 | X_0 = 0, X_2 = 0) = \frac{P(X_1 = 0 \cap X_0 = 0 \cap X_2 = 0)}{P(X_0 = 0 \cap X_1 = 0 \cap X_2 = 0) + P(X_0 = 0 \cap X_1 = 1 \cap X_2 = 0)}
 $$ $$
  
Line 38: Line 38:
  
 $$ $$
-P(X_2 = 0 \X_1 = 0 \X_0 = 0) = P(X_2 = 0 | X_1 = 0) P(X_1 = 0 | X_0 = 0) P(X_0 = 0)+P(X_2 = 0 \cap X_1 = 0 \cap X_0 = 0) = P(X_2 = 0 | X_1 = 0) P(X_1 = 0 | X_0 = 0) P(X_0 = 0)
 $$ $$
 $$ $$
-P(X_2 = 0 \X_0 = 1 \X_0 = 0) = P(X_2 = 0 | X_1 = 1) P(X_1 = 1 | X_0 = 0) P(X_0 = 0)+P(X_2 = 0 \cap X_0 = 1 \cap X_0 = 0) = P(X_2 = 0 | X_1 = 1) P(X_1 = 1 | X_0 = 0) P(X_0 = 0)
 $$ $$
  
Line 63: Line 63:
  
 [[miage:​td_analytique|Retourner au TD]] [[miage:​td_analytique|Retourner au TD]]
 +
miage_solution/solution_kodja_markov_2_etats.txt · Last modified: 2018/01/21 20:13 by melancon