Method for operating a hearing device, - wherein an acoustoelectric first input transducer of the hearing device generates a first input signal from a sound signal from the surroundings, - wherein an acoustoelectric external input transducer outside the hearing device generates an external input signal from the sound signal from the surroundings, - wherein the first input signal and the external input signal are used to generate an estimated target signal, and - wherein the estimated target signal and the first input signal are used to generate an estimated noise signal, - wherein the first input signal and the external input signal are used to determine a relative transfer function of the external input transducer in relation to the hearing device with respect to a target signal source by means of an adaptive filter, and the external input signal is filtered using the relative transfer function, and the estimated target signal is generated as a result, and the error signal used in the adaptive filter is the estimated noise signal, wherein the estimated noise signal is generated by subtracting the estimated target signal from a first intermediate signal (46, 56) derived from the first input signal, and wherein a noise suppression takes place in the hearing device on the basis of the estimated noise signal, characterized in that the first intermediate signal (46, 56) derived from the first input signal is a first noise-suppressed signal, and the estimated noise signal is generated by subtracting the estimated target signal from the first noise-suppressed signal. - wherein an acoustoelectric first input transducer of the hearing device generates a first input signal from a sound signal from the surroundings, - wherein an acoustoelectric external input transducer outside the hearing device generates an external input signal from the sound signal from the surroundings, - wherein the first input signal and the external input signal are used to generate an estimated target signal, and - wherein the estimated target signal and the first input signal are used to generate an estimated noise signal, - wherein the first input signal and the external input signal are used to determine a relative transfer function of the external input transducer in relation to the hearing device with respect to a target signal source by means of an adaptive filter, and the external input signal is filtered using the relative transfer function, and the estimated target signal is generated as a result, and the error signal used in the adaptive filter is the estimated noise signal, wherein the estimated noise signal is generated by subtracting the estimated target signal from a first intermediate signal (46, 56) derived from the first input signal, and wherein a noise suppression takes place in the hearing device on the basis of the estimated noise signal, characterized in that the first intermediate signal (46, 56) derived from the first input signal is a first noise-suppressed signal, and the estimated noise signal is generated by subtracting the estimated target signal from the first noise-suppressed signal. wherein the estimated noise signal is generated by subtracting the estimated target signal from a first intermediate signal (46, 56) derived from the first input signal, and wherein a noise suppression takes place in the hearing device on the basis of the estimated noise signal, characterized in that the first intermediate signal (46, 56) derived from the first input signal is a first noise-suppressed signal, and the estimated noise signal is generated by subtracting the estimated target signal from the first noise-suppressed signal.