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Functional equations arisen from the characterization of beta distributions

✍ Scribed by Károly Lajkó; Fruzsina Mészáros


Book ID
105752177
Publisher
Springer
Year
2009
Tongue
English
Weight
169 KB
Volume
78
Category
Article
ISSN
0001-9054

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Characterization of multivariate distrib
✍ Arjun K. Gupta; Truc T. Nguyen; Wei-Bin Zeng 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 605 KB

The multivariate distributions whose characteristic functions satisfy a given integrated functional equation are proved to be essentially multivariate stable (semi-stable) distributions. This generalizes the characterization of univariate distributions in Ramachandran and Rao (1970), Shimizu (1968,