Hi,
Have a look at this paper
Quantum Mechanics as Complex Probability Theory
S. Youssef
(Submitted on 2 Jul 1993 (v1), last revised 14 Feb 1994 (this version, v2))
Realistic quantum mechanics based on complex probability theory is shown to have a frequency interpretation, to coexist with Bell's theorem, to be linear, to include wavefunctions which are expansions in eigenfunctions of Hermitian operators and to describe both pure and mixed systems. Illustrative examples are given. The quantum version of Bayesian inference is discussed
Regards,
Wil9307019v2.pdf