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Part II is devoted to the detailed evaluation of the first and second (second‐order) moments, namely, average values and the cross‐ and autocorrelation functions for stationary random noise waves for models I–III, whose statistical description is given in Part I. From these in turn are determined the cross‐ and auto‐spectral intensities governing the distribution of energy in the random disturbances. Finally, the asymptotically normal distributions characteristic of the high density poisson noise (III) are evaluated, together with higher order correction terms and their associated characteristic functions.