3 papers
cs.IR2011
Probability Bracket Notation, Term Vector Space, Concept Fock Space and Induced Probabilistic IR Models
Xing M. Wang
After a brief introduction to Probability Bracket Notation (PBN) for discrete random variables in time-independent probability spaces, we apply both PBN and Dirac notation to inves…
math.PR2009
Probability Bracket Notation: the Unified Expressions of Conditional Expectation and Conditional Probability in Quantum Modeling
Xing M. Wang
After a brief introduction to Probability Bracket Notation (PBN), indicator operator and conditional density operator (CDO), we investigate probability spaces associated with vario…
math.PR2007
Probability Bracket Notation: Probability Space, Conditional Expectation and Introductory Martingales
Xing M. Wang
In this paper, we continue to explore the consistence and usability of Probability Bracket Notation (PBN) proposed in our previous articles. After a brief review of PBN with dimens…