On random split of the segment

• Autorzy: Milena Bieniek , Dominik Szynal
• Języki publikacji: EN

Abstrakty

EN

We consider a partition of the interval [0,1] by two partition procedures. In the first a chosen piece of [0,1] is split into halves, in the second it is split by uniformly distributed points. Initially, the interval [0,1] is divided either into halves or by a uniformly distributed random variable. Next a piece to be split is chosen either with probability equal to its length or each piece is chosen with equal probability, and then the chosen piece is split by one of the above procedures. These actions are repeated indefinitely. We investigate the probability distribution of the lengths of the consecutive pieces after n splits.

Kategorie tematyczne

• 60F15: Strong theorems
• 60F05: Central limit and other weak theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2005
• Tom: 32
• Numer: 3
• Strony: 243-261

Daty

wydano

2005

Twórcy

autor

Milena Bieniek

• Department of Economics, Maria Curie-Skłodowska University, Plac Marii Curie-Skłodowskiej 5, 20-031 Lublin, Poland

autor

Dominik Szynal

• Institute of Mathematics, Maria Curie-Skłodowska University, Plac Marii Curie-Skłodowskiej 1, 20-031 Lublin, Poland

Identyfikatory

DOI

10.4064/am32-3-1