Geodesic
Random split of the interval $[0,1]$
B. Kopociński1
1 Mathematical Institute Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 97-106

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define two splitting procedures of the interval $[0,1]$, one using uniformly distributed points on the chosen piece and the other splitting a piece in half. We also define two procedures for choosing the piece to be split; one chooses a piece with a probability proportional to its length and the other chooses each piece with equal probability. We analyse the probability distribution of the lengths of the pieces arising from these procedures.
DOI : 10.4064/am31-1-8
Keywords: define splitting procedures interval using uniformly distributed points chosen piece other splitting piece half define procedures choosing piece split chooses piece probability proportional its length other chooses each piece equal probability analyse probability distribution lengths pieces arising these procedures

B. Kopociński 1

1 Mathematical Institute Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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B. Kopociński. Random split of the interval $[0,1]$. Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 97-106. doi: 10.4064/am31-1-8

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