The Kolmogorov--Feller equation and the probabilistic model of quantum mechanics
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Tome 19 (1982), pp. 55-84.

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The survey is devoted to generalizations of the modern theory of measurement and the probabilistic interpretation of quantum-mechanical quantities. The relation between the quasidispersion and dispersion of indirect measurements is discussed. An example is presented of a dynamical system with random parameters averaging with respect to which is equivalent to averaging of an appropriate pseudodifferential operator relative to a certain quantum-mechanical function of state.
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V. P. Maslov. The Kolmogorov--Feller equation and the probabilistic model of quantum mechanics. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Tome 19 (1982), pp. 55-84. http://geodesic.mathdoc.fr/item/INTV_1982_19_a1/