Random triangles, order statistics and singular distributions
作者:
JeffreyJ. Hunter,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1986)
卷期:
Volume 17,
issue 2
页码: 253-257
ISSN:0020-739X
年代: 1986
DOI:10.1080/0020739860170216
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This article takes a new look at the well known problem concerning the probability that the three lengths obtained when a line segment is subjected to two random cuts will form a triangle. The approach taken provides us with illustrations of the distribution of simple order statistics, the maximum and minimum of two random variables, examples of marginal and joint distributions and, in particular, the construction of a conceptually simple trivariate singular distribution.
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