TY - JOUR
T1 - Identical distributions of single variates and random convex combinations of uniform fractional order statistics
AU - Beutner, Eric
AU - Kamps, Udo
PY - 2009/1/1
Y1 - 2009/1/1
N2 - It is shown that any uniform fractional order statistic can be represented in distribution by a random convex combination of any number of neighboring uniform fractional order statistics with weights being products of independent beta distributed random variables. In particular, the result is valid for ordinary order statistics.
AB - It is shown that any uniform fractional order statistic can be represented in distribution by a random convex combination of any number of neighboring uniform fractional order statistics with weights being products of independent beta distributed random variables. In particular, the result is valid for ordinary order statistics.
KW - Beta distribution
KW - Gamma distribution
KW - Ordered Dirichlet distribution
KW - Random convex combinations
KW - Uniform fractional order statistics
UR - http://www.scopus.com/inward/record.url?scp=73149120525&partnerID=8YFLogxK
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U2 - 10.1080/03610920802503388
DO - 10.1080/03610920802503388
M3 - Article
AN - SCOPUS:73149120525
SN - 0361-0926
VL - 38
SP - 1950
EP - 1959
JO - Communications in Statistics - Theory and Methods
JF - Communications in Statistics - Theory and Methods
IS - 12
ER -