Random split of the interval [0,1]

• Autorzy: B. Kopociński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60J10: Markov chains (discrete-time Markov processes on discrete state spaces)
• 60F05: Central limit and other weak theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2004
• Tom: 31
• Numer: 1
• Strony: 97-106

Daty

wydano

2004

Twórcy

autor

B. Kopociński

• Mathematical Institute, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/am31-1-8