By extending the usual Wigner operator to the s-parameterized one,we find that in the process of the generalized Weyl quantization the s parameter plays the role of correlation between two quadratures Q and P.This can be exposed by comparing the normally ordered form of Ωs with the standard form of the Gaussian bivariate normal distribution of random variables in statistics.Three different expressions of Ωs and the quantization scheme with use of it are presented.In recent years generalized phase-space techniques have found many useful applications in quantum optics and quantum information.