Some functional equations in the space of uniform distribution functions

DOI10.1007/BF02190176zbMath0492.39007MaRDI QIDQ1167877

Claudi Alsina

Publication date: 1981

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136870

zbMATH Keywords

copulasemigroups of distribution functionst- normuniform distribution functions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (4)

Stochastic bounds on sums of dependent risks ⋮ The Frank inequality ⋮ An extreme limit theorem for dependency bounds of normalized sums of random variables ⋮ Best-possible bounds for the distribution of a sum -- a problem of Kolmogorov

Cites Work

• Multiplications on the space of probability distribution functions
• Associativity in a class of operations on spaces of distribution functions
• Operations on distribution functions not derivable from operations on random variables
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