A theory is presented for the interpretation of experimental data obtained via reactor neutron noise analysis techniques. Neutron noise in a nuclear system is treated as a stochastic process where the numbers of ncutrons, precursors and neutron counts are state variables. The entire mathematical procedure is based on the formalism of a state probability generating function in terms of a time differential equation. In an earlier article the case was presented where the differential equation could be integrated. The present article deals with systems where the corresponding differential equation cannot be integrated: this is the case if neutron precursors are introduced and two-region coupled systems with symmetrical or nonsymmetrical components are taken into account. The presentation intends to show how the factorial cumulants, the auto- and cross-correlation functions of the number of neutron counts from one or more detectors can be obtained analytically.