Geodesic
Random division of interval.
Mathematica Applicanda, Tome 22 (1993) no. 36, pp. 71-74.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Let L1,L2,...,Ln+1 be the lengths of subintervals created by division of the interval [0,t] by n randomly and independently selected points of this interval. B. de Finetti (1964) proved that F(t;a1,⋯,an+1)=P({L1>a1,⋯,Ln+1>an+1})=t^(−n)(t−a1−...−an+1)^n, where ai≥0,i=1,...,n+1, and a1+...+an+1
DOI : 10.14708/ma.v22i36.1817
Classification : 60D05
Mots-clés : Geometric probability and stochastic geometry 
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Krzysztof Wisiński. Random division of interval.. Mathematica Applicanda, Tome 22 (1993) no. 36, pp.  71-74. doi : 10.14708/ma.v22i36.1817. http://geodesic.mathdoc.fr/articles/10.14708/ma.v22i36.1817/

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