A characterization of distributions by random summation

DOI10.11650/TWJM/1500406734zbMath1259.62004OpenAlexW4238650402MaRDI QIDQ1936062

Tsung-Lin Cheng, Chin-Yuan Hu

Publication date: 21 February 2013

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/2218

zbMATH Keywords

characteristic function

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Characterization and structure theory of statistical distributions (62E10)

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Necessary and sufficient conditions for unique solution to functional equations of Poincaré type ⋮ AN EXTENSION OF RANDOM SUMMATIONS OF INDEPENDENT AND IDENTICALLY DISTRIBUTED RANDOM VARIABLES

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