On R.L. Stratonovich's formula for the transition from dynamic to probabilistic measurements and its connection with operations over distribution functions of random variables
M.Yu. Romanovsky a, b, c
a PI "Science and Innovation", Bol'shaya Ordynka str. 24, Moscow, 119017, Russian Federation
b ANO National Center for Physics and Mathematics, Parkovaya Str. 1, build. 3, Sarov, Nizhny Novgorod Region, 607182, Russian Federation
c Russian National Research Medical University named after N.I. Pirogov, Ostrovitianov str. 1, Moscow, 117997, Russian Federation
The applications of R.L. Stratonovich's formula [1] for the exact transition from dynamic measurements to probabilistic or thermodynamic ones are considered. The connection of this formula with known expressions for operations over probability density distribution functions of random variables is given. The application of the formula to the problem of determining the observed physical parameters — fields, potentials, moments created by (stochastically moving) charged particles is demonstrated.
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