Symmetrization of probability measures, pushforward of order 2 and the Boolean convolution

• Autorzy: Wojciech Młotkowski , Noriyoshi Sakuma
• Języki publikacji: EN

Abstrakty

EN

We study relations between the Boolean convolution and the symmetrization and the pushforward of order 2. In particular we prove that if μ₁,μ₂ are probability measures on [0,∞) then $(μ₁ ⨄ μ₂)^{s} = μ₁^{s} ⨄ μ₂^{s}$ and if ν₁,ν₂ are symmetric then $(ν₁ ⨄ ν₂)^{(2)} = ν₁^{(2)} ⨄ ν₂^{(2)}$. Finally we investigate necessary and sufficient conditions under which the latter equality holds.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 60E10: Characteristic functions; other transforms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 96
• Numer: 1
• Strony: 271-276

Daty

wydano

2011

Twórcy

autor

Wojciech Młotkowski

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Noriyoshi Sakuma

• Department of Mathematics, Aichi University of Education, 1 Hirosawa, Igaya-cho, Kariya-shi, 448-8542, Japan

Identyfikatory

DOI

10.4064/bc96-0-18