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We present measurements of the fourth and fifth cumulants of the distributionof transmitted charge in a tunable quantum dot. We investigate how the measuredstatistics is influenced by the finite bandwidth of the detector and by thefinite measurement time. By including the detector when modeling the system, weuse the theory of full counting statistics to calculate the noise levels forthe combined system. The predictions of the finite-bandwidth model are in goodagreement with measured data

Measurements of higher-order noise correlations in a quantum dot with a finite bandwidth detector