A quantization method based on replacement of c-number by c-number
parameterized by an unbiased hidden random variable is developed. In contrast
to canonical quantization, the replacement has straightforward physical
interpretation as statistical modification of classical dynamics of ensemble of
trajectories, and implies a unique operator ordering. We then apply the method
to develop quantum measurement without wave function collapse \'a la pilot-wave
theory.Comment: 14 pages, accepted in Physica