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A quantization method based on replacement of c-number by c-numberparameterized by an unbiased hidden random variable is developed. In contrastto canonical quantization, the replacement has straightforward physicalinterpretation as statistical modification of classical dynamics of ensemble oftrajectories, and implies a unique operator ordering. We then apply the methodto develop quantum measurement without wave function collapse \'a la pilot-wavetheory.

Quantum fluctuations as deviation from classical dynamics of ensemble of trajectories parameterized by unbiased hidden random variable