Open AccessRandom Measure Algebras Under O-dot Product and Morse-Transue Integral Convolution
Author(s) -
Jason Hong Jae Park
Publication year - 2019
Publication title -
international journal of statistics and probability
Language(s) - English
Resource type - Journals
eISSN - 1927-7040
pISSN - 1927-7032
DOI - 10.5539/ijsp.v8n6p73
Subject(s) - mathematics , convolution (computer science) , morse code , product (mathematics) , measure (data warehouse) , construct (python library) , pure mathematics , computer science , geometry , artificial intelligence , telecommunications , database , artificial neural network , programming language
In this article, we consider two operations of random measures: O-dot product and the convolution product by Morse-Transue integral. With these two operations, we construct algebras of random measures. Also we investigate further on the explicit forms of the products of Wiener processes by O-dot operation and by Morse-Transue integral convolution.