By Lebossé C., Hémery C.

Manuel scolaire de mathématiques, niveau seconde C, programmes de 1965. Géométrie. Cet ouvrage fait partie de l. a. assortment Lebossé-Hémery dont les manuels furent à l’enseignement des mathématiques ce que le Bled et le Bescherelle furent à celui du français.

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Polpo et al. 1007/978-3-319-12454-4_2 13 14 G. de Cooman et al. model for the next nˆ variables Xn+1 ˇ , . . Xn+ ˇ nˆ . In the probabilistic tradition—and we want to build on this tradition in the context of this chapter—this belief can be modelled by some conditional predictive probability mass function p nˆ ( · |x1 , . . , xnˇ ) on the set Anˆ of possible values for these next variables. These probability mass functions can be used for prediction or estimation, for statistical inferences, and in decision making involving the uncertain values of these variables.

Artif. Intell. Res. 45, 601–640 (2012). html 8. : Exchangeability and sets of desirable gambles. Int. Approx. Reason 53(3), 363–395 (2012). (Special issue in honour of Henry E. ). 9. : Representation insensitivity in immediate prediction under exchangeability. Int. J. Approx. Reason 50(2), 204–216 (2009). 010 10. : Exchangeable lower previsions. Bernoulli 15(3), 721–735 (2009). 3150/09-BEJ182. net/1854/LU-498518 11. : La prévision: ses lois logiques, ses sources subjectives. Annales de l’Institut Henri Poincaré 7, 1–68 (1937).

Xnˇ ) can be obtained from p n2 ( · |x1 , . . , xnˇ ) through marginalisation; the latter essentially demands that these conditional probability mass functions should be connected with temporally consistent unconditional probability mass functions through Bayes’s Rule. A common assumption about the variables Xn is that they are exchangeable. De Finetti’s famous representation theorem [4, 11] then states that the temporally consistent and coherent conditional and unconditional predictive probability mass functions associated with a countably infinite exchangeable sequence of variables in A are completely characterised by1 a unique probability measure on the Borel sets of the simplex of all probability mass functions on A, called its representation.