Classes of power semicircle laws that are randomly weighted average distributions

DOI10.1080/00949655.2013.806510zbMath1453.62348OpenAlexW2029406535MaRDI QIDQ5219518

Rasool Roozegar, Ahmad Reza Soltani

Publication date: 12 March 2020

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949655.2013.806510

zbMATH Keywords

Stieltjes transformlimiting distributionpower semicircle distributionWigner and arcsine distributions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Characterization and structure theory of statistical distributions (62E10)

Related Items

Recursive integral equations for random weights averages: exponential functions and Cauchy distribution ⋮ On the asymptotic behavior of randomly weighted averages

Cites Work

• On distribution of randomly ordered uniform incremental weighted averages: divided difference approach
• Weighted averages with random proportions that are jointly uniformly distributed over the unit simplex
• On generalized Cauchy-Stieltjes transforms of some Beta distributions
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