It is possible by introduction of `characteristic functional' K[φ] to evaluate errors due to the approximation using multi-detector methods in measurements of neutron dose equivalent rate, and to show them in a figure in a simple manner for arbitrary spectra. Dose equivalent rate is given by D=K[φ]N
1, where N
1 is the counting rate of one of the detectors. The maximum errors are determined by obtaining the maximum and minimum values of K[φ] represented in terms of the ratios of counting rates. Examples are given for two- and three-detector methods. Also, good approximations in the multi-detector methods are described by the use of the characteristic functional.