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The formula is still used, particularly to estimate underlying probabilities when there are few observations or for events that have not been observed to occur at all in (finite) sample data." , "lang" : "en" } , { "type" : "literal", "value" : "En la teor\u00EDa de probabilidad, la regla de sucesi\u00F3n es una f\u00F3rmula desarrollada por Pierre-Simon Laplace en el siglo XVIII al analizar el .\u200B La f\u00F3rmula todav\u00EDa se utiliza, en especial para estimar las probabilidades de eventos que se han observado unas pocas veces o que nunca han sido observados en una muestra finita de datos. Asignar a tales eventos una probabilidad nula violar\u00EDa la regla de Cromwell, lo cual nunca puede ser justificado de manera estricta en pr\u00E1cticas, aunque a veces debe ser supuesto." , "lang" : "es" } , { "type" : "literal", "value" : "L'estimateur de Laplace\u2013Bayes (ou r\u00E8gle de succession de Laplace) est une formule permettant de donner une approximation du terme a posteriori de la formule de Bayes. Elle a \u00E9t\u00E9 introduite au XVIIIe si\u00E8cle pour r\u00E9pondre au probl\u00E8me : quelle la probabilit\u00E9 que le Soleil se l\u00E8ve demain ?" , "lang" : "fr" } , { "type" : "literal", "value" : "La regla de Laplace consisteix en el c\u00E0lcul de la probabilitat d'un succ\u00E9s associat a un experiment aleatori mitjan\u00E7ant una f\u00F3rmula que suposa que tots els successos d'aquesta experi\u00E8ncia s\u00F3n equiprobables (\u00E9s a dir, que tinguin la mateixa probabilitat de verificar-se). Altres exemples s\u00F3n: Cal dir que aquesta llei es pot considerar v\u00E0lida per successos mitjans o quan actua la llei dels grans nombres, com no podia ser d'altra manera donat que \u00E9s una regla de c\u00E0lcul de probabilitats." , "lang" : "ca" } ] , "http://purl.org/dc/terms/subject" : [ { "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Probability_assessment" } , { "type" : "uri", "value" : "http://dbpedia.org/resource/Category:Inductive_reasoning" } ] , "http://dbpedia.org/ontology/abstract" : [ { "type" : "literal", "value" : "En la teor\u00EDa de probabilidad, la regla de sucesi\u00F3n es una f\u00F3rmula desarrollada por Pierre-Simon Laplace en el siglo XVIII al analizar el .\u200B La f\u00F3rmula todav\u00EDa se utiliza, en especial para estimar las probabilidades de eventos que se han observado unas pocas veces o que nunca han sido observados en una muestra finita de datos. Asignar a tales eventos una probabilidad nula violar\u00EDa la regla de Cromwell, lo cual nunca puede ser justificado de manera estricta en pr\u00E1cticas, aunque a veces debe ser supuesto." , "lang" : "es" } , { "type" : "literal", "value" : "La regla de Laplace consisteix en el c\u00E0lcul de la probabilitat d'un succ\u00E9s associat a un experiment aleatori mitjan\u00E7ant una f\u00F3rmula que suposa que tots els successos d'aquesta experi\u00E8ncia s\u00F3n equiprobables (\u00E9s a dir, que tinguin la mateixa probabilitat de verificar-se). Amb aquesta senzilla regla i alguns coneixements de combinat\u00F2ria, ja es pot comen\u00E7ar a fer c\u00E0lcul de successos aleatoris, sense m\u00E9s formalitzaci\u00F3 te\u00F2rica sobre la probabilitat, obviant els tres axiomes de la probabilitat de Kolmog\u00F3rov. Aix\u00ED, la probabilitat que surti cara d'una moneda normal, se li assigna una probabilitat de \u00BD. \u00C9s una regla \u00FAtil per a c\u00E0lcul de probabilitats d'experiments aleatoris de successos equiprobables a priori. Altres exemples s\u00F3n: \n* Probabilitat de treure un rei d'un joc de cartes espanyol. Casos favorables: 4, i casos possibles: 48; per aix\u00F2 se li assigna una probabilitat de valor igual a 1 / 12. \n* Probabilitat d'un n\u00FAmero en concret quan es tira un dau normal. Un cas favorable dels 6 possibles, se li assigna una probabilitat d'1/6. Cal dir que aquesta llei es pot considerar v\u00E0lida per successos mitjans o quan actua la llei dels grans nombres, com no podia ser d'altra manera donat que \u00E9s una regla de c\u00E0lcul de probabilitats." , "lang" : "ca" } , { "type" : "literal", "value" : "L'estimateur de Laplace\u2013Bayes (ou r\u00E8gle de succession de Laplace) est une formule permettant de donner une approximation du terme a posteriori de la formule de Bayes. Elle a \u00E9t\u00E9 introduite au XVIIIe si\u00E8cle pour r\u00E9pondre au probl\u00E8me : quelle la probabilit\u00E9 que le Soleil se l\u00E8ve demain ?" , "lang" : "fr" } , { "type" : "literal", "value" : "In probability theory, the rule of succession is a formula introduced in the 18th century by Pierre-Simon Laplace in the course of treating the sunrise problem. 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