Extensions and properties of probabilistic sequence operations
Qing Li Xia · Journal of Tsinghua University(Science and Technology) · 2010
Addition-type convolution,subtraction-type convolution,AND-type products and OR-type products are four basic operations in sequence operation theory.The applicability of probabilistic sequence operation theory was extended by several new basic operations for sequence multiplication,sequence division and sequence shift operations for multiplication and division of sequences,as well as sequences and positive constants with continuous random variables extending to discrete probabilistic sequences.The basic nature and physical meaning of these operations were given.A case study shows the rationality of these probabilistic sequence operations.