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 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 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 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 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 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 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. <EOS>