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Some Concepts and Theorems of Uncertain Random Process
Author(s) -
Gao Jinwu,
Yao Kai
Publication year - 2015
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21681
Subject(s) - generalization , randomness , random variable , process (computing) , stochastic process , uncertainty theory , variable (mathematics) , mathematics , computer science , sum of normally distributed random variables , mathematical optimization , convergence of random variables , statistics , mathematical analysis , operating system
To deal with a system with both randomness and uncertainty, chance theory has been built and an uncertain random variable has been proposed as a generalization of random variable and uncertain variable. Correspondingly, as a generalization of both the stochastic process and the uncertain process, this paper will propose an uncertain random process. In addition, some special types of uncertain random processes such as stationary increment process and renewal process will also be discussed.