Random split of the interval [0,1]

B. Kopociński. "Random split of the interval [0,1]." Applicationes Mathematicae 31.1 (2004): 97-106. <http://eudml.org/doc/278947>.

@article{B2004,
abstract = {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.},
author = {B. Kopociński},
journal = {Applicationes Mathematicae},
keywords = {Steinhaus problem; uniform split; splitting in half; random choice; probability distribution; moments; limit theorem},
language = {eng},
number = {1},
pages = {97-106},
title = {Random split of the interval [0,1]},
url = {http://eudml.org/doc/278947},
volume = {31},
year = {2004},
}

TY - JOUR
AU - B. Kopociński
TI - Random split of the interval [0,1]
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 1
SP - 97
EP - 106
AB - 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.
LA - eng
KW - Steinhaus problem; uniform split; splitting in half; random choice; probability distribution; moments; limit theorem
UR - http://eudml.org/doc/278947
ER -