Journal article

SOME FURTHER RESULTS ON RANDOM SPLITTING OF AN INTERVAL

CJ LLOYD

JOURNAL OF APPLIED PROBABILITY | APPLIED PROBABILITY TRUST | Published : 1989

Abstract

The random splitting model of Lloyd and Williams (1988) is generalised, to allow first beta splitting distributions and secondly, discrete splitting distributions. Analogues of some earlier results are developed. In particular, the equality of the average value of the largest split and the probability that this is achieved at the first split continues to hold.

University of Melbourne Researchers