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The form of electron counting statistics of the tunneling current noise in a generic many-body interacting electron system is obtained and universal relations between its different moments are derived. A generalized fluctuation-dissipation theorem providing a relation between current and noise at arbitrary bias-to-temperature ratio eV∕k₁T is established in the tunneling Hamiltonian approximation. The third correlator of current fluctuations S₃ (the skewness of the charge counting distribution) has a universal Schottky-type relation with the current and quasiparticle charge that holds in a wide bias voltage range, both at large and small eV∕k₁T. The insensitivity of S₃ to the Nyquist-Schottky crossover represents an advantage compared to the Schottky formula for the noise power. We discuss the possibility of using the correlator S₃ for detecting quasiparticle charge at high temperatures.
Levitov et al. (Mon,) studied this question.