[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2fr\/wiki1\/ljapunow-condition-wikipedia\/#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2fr\/wiki1\/ljapunow-condition-wikipedia\/","headline":"Ljapunow Condition-Wikipedia","name":"Ljapunow Condition-Wikipedia","description":"Le Condition de ljapunow Dans les stochastiques, il existe un crit\u00e8re pour une s\u00e9quence de variables al\u00e9atoires. En plus de","datePublished":"2022-03-28","dateModified":"2022-03-28","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2fr\/wiki1\/author\/lordneo\/#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2fr\/wiki1\/author\/lordneo\/","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/372a15e47338aef4a640d99de451813c52f79b03","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/372a15e47338aef4a640d99de451813c52f79b03","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2fr\/wiki1\/ljapunow-condition-wikipedia\/","wordCount":3554,"articleBody":"Le Condition de ljapunow Dans les stochastiques, il existe un crit\u00e8re pour une s\u00e9quence de variables al\u00e9atoires. En plus de la condition plus g\u00e9n\u00e9rale de Lindeberg, il s&#8217;agit de l&#8217;une des deux conditions suffisantes classiques pour la convergence dans la distribution de l&#8217;\u00e9pisode par rapport \u00e0 la distribution normale standard et appartient donc \u00e0 l&#8217;objet des taux de valeur des fronti\u00e8res centraux. Il peut \u00e9galement \u00eatre formul\u00e9 pour des sch\u00e9mas par des variables al\u00e9atoires et remonte au math\u00e9maticien russe Alexander Mikhailowitsch Ljapunow. \u00catre ( X i) i\u2208N{DisplayStyle (x_ {i}) _ {iin mathbb {n}}}} Une s\u00e9quence de variables al\u00e9atoires stochastiquement ind\u00e9pendantes avec ai: = ET \u2061 [ Xi]] {displayStyle; a_ {i}: = op\u00e9ratorname {e} [x_ {i}]} et 0 < \u00c9tait \u2061 ( Xi) < \u221e {DisplayStyle 0 i=1n\u00c9tait \u2061 ( Xi) {displayStyle s_ {n} = sum _ {i = 1} ^ {n} op\u00e9ratorname {var} (x_ {i})} La somme des variations du ( X i) i{displayStyle (x_ {i}) _ {i}} . La cons\u00e9quence des variables al\u00e9atoires est d\u00e9sormais suffisante pour la condition de ljapunow si un "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2fr\/wiki1\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2fr\/wiki1\/ljapunow-condition-wikipedia\/#breadcrumbitem","name":"Ljapunow Condition-Wikipedia"}}]}]